id	sid	tid	token	lemma	pos
ejpam-6274	1	1	european	european	PROPN
ejpam-6274	1	2	journal	journal	PROPN
ejpam-6274	1	3	of	of	ADP
ejpam-6274	1	4	pure	pure	ADJ
ejpam-6274	1	5	and	and	CCONJ
ejpam-6274	1	6	applied	applied	ADJ
ejpam-6274	1	7	mathematics	mathematic	NOUN
ejpam-6274	1	8	2025	2025	NUM
ejpam-6274	1	9	,	,	PUNCT
ejpam-6274	1	10	vol	vol	NOUN
ejpam-6274	1	11	.	.	PROPN
ejpam-6274	1	12	18	18	NUM
ejpam-6274	1	13	,	,	PUNCT
ejpam-6274	1	14	issue	issue	NOUN
ejpam-6274	1	15	3	3	NUM
ejpam-6274	1	16	,	,	PUNCT
ejpam-6274	1	17	article	article	NOUN
ejpam-6274	1	18	number	number	NOUN
ejpam-6274	1	19	6274	6274	NUM
ejpam-6274	1	20	issn	issn	VERB
ejpam-6274	1	21	1307	1307	NUM
ejpam-6274	1	22	-	-	SYM
ejpam-6274	1	23	5543	5543	NUM
ejpam-6274	1	24	–	–	PUNCT
ejpam-6274	1	25	ejpam.com	ejpam.com	X
ejpam-6274	1	26	published	publish	VERB
ejpam-6274	1	27	by	by	ADP
ejpam-6274	1	28	new	new	PROPN
ejpam-6274	1	29	york	york	PROPN
ejpam-6274	1	30	business	business	PROPN
ejpam-6274	1	31	global	global	ADJ
ejpam-6274	1	32	grand	grand	ADJ
ejpam-6274	1	33	variable	variable	ADJ
ejpam-6274	1	34	herz	herz	ADJ
ejpam-6274	1	35	-	-	PUNCT
ejpam-6274	1	36	morrey	morrey	PROPN
ejpam-6274	1	37	type	type	NOUN
ejpam-6274	1	38	besov	besov	NOUN
ejpam-6274	1	39	spaces	space	NOUN
ejpam-6274	1	40	and	and	CCONJ
ejpam-6274	1	41	triebel	triebel	NOUN
ejpam-6274	1	42	-	-	PUNCT
ejpam-6274	1	43	lizorkin	lizorkin	NOUN
ejpam-6274	1	44	spaces	space	NOUN
ejpam-6274	1	45	mehvish	mehvish	PROPN
ejpam-6274	1	46	sultan1	sultan1	PROPN
ejpam-6274	1	47	,	,	PUNCT
ejpam-6274	1	48	babar	babar	PROPN
ejpam-6274	1	49	sultan2,∗	sultan2,∗	PROPN
ejpam-6274	1	50	,	,	PUNCT
ejpam-6274	1	51	ioan	ioan	NOUN
ejpam-6274	1	52	-	-	PUNCT
ejpam-6274	1	53	lucian	lucian	PROPN
ejpam-6274	1	54	popa3,4,∗	popa3,4,∗	PROPN
ejpam-6274	1	55	1	1	NUM
ejpam-6274	1	56	department	department	NOUN
ejpam-6274	1	57	of	of	ADP
ejpam-6274	1	58	mathematics	mathematic	NOUN
ejpam-6274	1	59	,	,	PUNCT
ejpam-6274	1	60	capital	capital	NOUN
ejpam-6274	1	61	university	university	PROPN
ejpam-6274	1	62	of	of	ADP
ejpam-6274	1	63	science	science	NOUN
ejpam-6274	1	64	and	and	CCONJ
ejpam-6274	1	65	technology	technology	NOUN
ejpam-6274	1	66	,	,	PUNCT
ejpam-6274	1	67	islamabad	islamabad	PROPN
ejpam-6274	1	68	,	,	PUNCT
ejpam-6274	1	69	pakistan	pakistan	PROPN
ejpam-6274	1	70	2	2	NUM
ejpam-6274	1	71	department	department	NOUN
ejpam-6274	1	72	of	of	ADP
ejpam-6274	1	73	mathematics	mathematic	NOUN
ejpam-6274	1	74	,	,	PUNCT
ejpam-6274	1	75	quaid	quaid	PROPN
ejpam-6274	1	76	-	-	PUNCT
ejpam-6274	1	77	i	i	PROPN
ejpam-6274	1	78	-	-	PUNCT
ejpam-6274	1	79	azam	azam	PROPN
ejpam-6274	1	80	university	university	PROPN
ejpam-6274	1	81	,	,	PUNCT
ejpam-6274	1	82	islamabad	islamabad	PROPN
ejpam-6274	1	83	45320	45320	NUM
ejpam-6274	1	84	,	,	PUNCT
ejpam-6274	1	85	pakistan	pakistan	PROPN
ejpam-6274	1	86	3	3	NUM
ejpam-6274	1	87	department	department	NOUN
ejpam-6274	1	88	of	of	ADP
ejpam-6274	1	89	computing	computing	NOUN
ejpam-6274	1	90	,	,	PUNCT
ejpam-6274	1	91	mathematics	mathematic	NOUN
ejpam-6274	1	92	and	and	CCONJ
ejpam-6274	1	93	electronics	electronic	NOUN
ejpam-6274	1	94	,	,	PUNCT
ejpam-6274	1	95	“	"	PUNCT
ejpam-6274	1	96	1	1	NUM
ejpam-6274	1	97	decembrie	decembrie	NOUN
ejpam-6274	1	98	1918	1918	NUM
ejpam-6274	1	99	”	"	PUNCT
ejpam-6274	1	100	university	university	PROPN
ejpam-6274	1	101	of	of	ADP
ejpam-6274	1	102	alba	alba	PROPN
ejpam-6274	1	103	iulia	iulia	PROPN
ejpam-6274	1	104	,	,	PUNCT
ejpam-6274	1	105	510009	510009	NUM
ejpam-6274	1	106	alba	alba	NOUN
ejpam-6274	1	107	iulia	iulia	PROPN
ejpam-6274	1	108	,	,	PUNCT
ejpam-6274	1	109	romania	romania	PROPN
ejpam-6274	1	110	4	4	NUM
ejpam-6274	1	111	faculty	faculty	NOUN
ejpam-6274	1	112	of	of	ADP
ejpam-6274	1	113	mathematics	mathematic	NOUN
ejpam-6274	1	114	and	and	CCONJ
ejpam-6274	1	115	computer	computer	NOUN
ejpam-6274	1	116	science	science	NOUN
ejpam-6274	1	117	,	,	PUNCT
ejpam-6274	1	118	transilvania	transilvania	PROPN
ejpam-6274	1	119	university	university	PROPN
ejpam-6274	1	120	of	of	ADP
ejpam-6274	1	121	brasov	brasov	NOUN
ejpam-6274	1	122	,	,	PUNCT
ejpam-6274	1	123	iuliu	iuliu	PROPN
ejpam-6274	1	124	maniu	maniu	PROPN
ejpam-6274	1	125	street	street	PROPN
ejpam-6274	1	126	50	50	NUM
ejpam-6274	1	127	,	,	PUNCT
ejpam-6274	1	128	500091	500091	NUM
ejpam-6274	1	129	brasov	brasov	NOUN
ejpam-6274	1	130	,	,	PUNCT
ejpam-6274	1	131	romania	romania	PROPN
ejpam-6274	1	132	abstract	abstract	NOUN
ejpam-6274	1	133	.	.	PUNCT
ejpam-6274	2	1	in	in	ADP
ejpam-6274	2	2	the	the	DET
ejpam-6274	2	3	article	article	NOUN
ejpam-6274	2	4	,	,	PUNCT
ejpam-6274	2	5	the	the	DET
ejpam-6274	2	6	boundedness	boundedness	NOUN
ejpam-6274	2	7	of	of	ADP
ejpam-6274	2	8	vector	vector	NOUN
ejpam-6274	2	9	-	-	PUNCT
ejpam-6274	2	10	valued	value	VERB
ejpam-6274	2	11	sublinear	sublinear	NOUN
ejpam-6274	2	12	operators	operator	NOUN
ejpam-6274	2	13	in	in	ADP
ejpam-6274	2	14	grand	grand	ADJ
ejpam-6274	2	15	variable	variable	ADJ
ejpam-6274	2	16	herz	herz	ADJ
ejpam-6274	2	17	-	-	PUNCT
ejpam-6274	2	18	morrey	morrey	PROPN
ejpam-6274	2	19	spaces	space	VERB
ejpam-6274	2	20	mk̇	mk̇	NOUN
ejpam-6274	2	21	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	2	22	λ	λ	NOUN
ejpam-6274	2	23	,	,	PUNCT
ejpam-6274	2	24	p	p	X
ejpam-6274	2	25	(	(	PUNCT
ejpam-6274	2	26	·	·	PUNCT
ejpam-6274	2	27	)	)	PUNCT
ejpam-6274	2	28	(	(	PUNCT
ejpam-6274	2	29	rn	rn	NOUN
ejpam-6274	2	30	)	)	PUNCT
ejpam-6274	2	31	are	be	AUX
ejpam-6274	2	32	obtained	obtain	VERB
ejpam-6274	2	33	.	.	PUNCT
ejpam-6274	3	1	then	then	ADV
ejpam-6274	3	2	grand	grand	ADJ
ejpam-6274	3	3	variable	variable	ADJ
ejpam-6274	3	4	herz	herz	ADJ
ejpam-6274	3	5	-	-	PUNCT
ejpam-6274	3	6	morrey	morrey	PROPN
ejpam-6274	3	7	type	type	NOUN
ejpam-6274	3	8	besov	besov	NOUN
ejpam-6274	3	9	and	and	CCONJ
ejpam-6274	3	10	triebel	triebel	NOUN
ejpam-6274	3	11	-	-	PUNCT
ejpam-6274	3	12	lizorkin	lizorkin	NOUN
ejpam-6274	3	13	spaces	space	NOUN
ejpam-6274	3	14	are	be	AUX
ejpam-6274	3	15	defined	define	VERB
ejpam-6274	3	16	.	.	PUNCT
ejpam-6274	4	1	we	we	PRON
ejpam-6274	4	2	will	will	AUX
ejpam-6274	4	3	also	also	ADV
ejpam-6274	4	4	prove	prove	VERB
ejpam-6274	4	5	the	the	DET
ejpam-6274	4	6	equivalent	equivalent	ADJ
ejpam-6274	4	7	quasi	quasi	NOUN
ejpam-6274	4	8	-	-	NOUN
ejpam-6274	4	9	norms	norm	NOUN
ejpam-6274	4	10	by	by	ADP
ejpam-6274	4	11	peetre	peetre	NOUN
ejpam-6274	4	12	’s	’s	PART
ejpam-6274	4	13	maximal	maximal	ADJ
ejpam-6274	4	14	operators	operator	NOUN
ejpam-6274	4	15	in	in	ADP
ejpam-6274	4	16	these	these	DET
ejpam-6274	4	17	spaces	space	NOUN
ejpam-6274	4	18	.	.	PUNCT
ejpam-6274	5	1	2020	2020	NUM
ejpam-6274	5	2	mathematics	mathematic	NOUN
ejpam-6274	5	3	subject	subject	NOUN
ejpam-6274	5	4	classifications	classification	NOUN
ejpam-6274	5	5	:	:	PUNCT
ejpam-6274	5	6	46e35	46e35	NUM
ejpam-6274	5	7	,	,	PUNCT
ejpam-6274	5	8	42b25	42b25	NUM
ejpam-6274	5	9	,	,	PUNCT
ejpam-6274	5	10	42b35	42b35	NUM
ejpam-6274	5	11	key	key	ADJ
ejpam-6274	5	12	words	word	NOUN
ejpam-6274	5	13	and	and	CCONJ
ejpam-6274	5	14	phrases	phrase	NOUN
ejpam-6274	5	15	:	:	PUNCT
ejpam-6274	5	16	grand	grand	ADJ
ejpam-6274	5	17	variable	variable	ADJ
ejpam-6274	5	18	herz	herz	ADJ
ejpam-6274	5	19	-	-	PUNCT
ejpam-6274	5	20	morrry	morrry	ADJ
ejpam-6274	5	21	space	space	NOUN
ejpam-6274	5	22	,	,	PUNCT
ejpam-6274	5	23	besov	besov	NOUN
ejpam-6274	5	24	space	space	NOUN
ejpam-6274	5	25	,	,	PUNCT
ejpam-6274	5	26	triebel	triebel	NOUN
ejpam-6274	5	27	lizorkin	lizorkin	ADJ
ejpam-6274	5	28	space	space	NOUN
ejpam-6274	5	29	,	,	PUNCT
ejpam-6274	5	30	maximal	maximal	ADJ
ejpam-6274	5	31	operator	operator	NOUN
ejpam-6274	5	32	1	1	NUM
ejpam-6274	5	33	.	.	PUNCT
ejpam-6274	6	1	introduction	introduction	NOUN
ejpam-6274	6	2	in	in	ADP
ejpam-6274	6	3	variable	variable	ADJ
ejpam-6274	6	4	exponent	exponent	NOUN
ejpam-6274	6	5	spaces	space	NOUN
ejpam-6274	6	6	,	,	PUNCT
ejpam-6274	6	7	the	the	DET
ejpam-6274	6	8	hardy	hardy	ADJ
ejpam-6274	6	9	-	-	PUNCT
ejpam-6274	6	10	littlewood	littlewood	NOUN
ejpam-6274	6	11	maximal	maximal	ADJ
ejpam-6274	6	12	operator	operator	NOUN
ejpam-6274	6	13	’s	’s	PART
ejpam-6274	6	14	boundedness	boundedness	NOUN
ejpam-6274	6	15	is	be	AUX
ejpam-6274	6	16	crucial	crucial	ADJ
ejpam-6274	6	17	.	.	PUNCT
ejpam-6274	7	1	for	for	ADP
ejpam-6274	7	2	instance	instance	NOUN
ejpam-6274	7	3	,	,	PUNCT
ejpam-6274	7	4	it	it	PRON
ejpam-6274	7	5	is	be	AUX
ejpam-6274	7	6	well	well	ADV
ejpam-6274	7	7	known	know	VERB
ejpam-6274	7	8	that	that	SCONJ
ejpam-6274	7	9	if	if	SCONJ
ejpam-6274	7	10	the	the	DET
ejpam-6274	7	11	hardy	hardy	ADJ
ejpam-6274	7	12	-	-	PUNCT
ejpam-6274	7	13	littlewood	littlewood	NOUN
ejpam-6274	7	14	maximal	maximal	ADJ
ejpam-6274	7	15	operator	operator	NOUN
ejpam-6274	7	16	is	be	AUX
ejpam-6274	7	17	bounded	bound	VERB
ejpam-6274	7	18	in	in	ADP
ejpam-6274	7	19	variable	variable	ADJ
ejpam-6274	7	20	exponent	exponent	NOUN
ejpam-6274	7	21	lebesgue	lebesgue	NOUN
ejpam-6274	7	22	space	space	NOUN
ejpam-6274	7	23	,	,	PUNCT
ejpam-6274	7	24	then	then	ADV
ejpam-6274	7	25	numerous	numerous	ADJ
ejpam-6274	7	26	conclusions	conclusion	NOUN
ejpam-6274	7	27	from	from	ADP
ejpam-6274	7	28	classical	classical	ADJ
ejpam-6274	7	29	harmonic	harmonic	ADJ
ejpam-6274	7	30	analysis	analysis	NOUN
ejpam-6274	7	31	and	and	CCONJ
ejpam-6274	7	32	function	function	NOUN
ejpam-6274	7	33	theory	theory	NOUN
ejpam-6274	7	34	also	also	ADV
ejpam-6274	7	35	apply	apply	VERB
ejpam-6274	7	36	for	for	ADP
ejpam-6274	7	37	the	the	DET
ejpam-6274	7	38	variable	variable	ADJ
ejpam-6274	7	39	exponent	exponent	NOUN
ejpam-6274	7	40	case	case	NOUN
ejpam-6274	7	41	;	;	PUNCT
ejpam-6274	7	42	see	see	VERB
ejpam-6274	7	43	[	[	X
ejpam-6274	7	44	1–4	1–4	NOUN
ejpam-6274	7	45	]	]	X
ejpam-6274	7	46	.	.	PUNCT
ejpam-6274	8	1	moreover	moreover	ADV
ejpam-6274	8	2	,	,	PUNCT
ejpam-6274	8	3	a	a	DET
ejpam-6274	8	4	variety	variety	NOUN
ejpam-6274	8	5	of	of	ADP
ejpam-6274	8	6	variable	variable	ADJ
ejpam-6274	8	7	exponent	exponent	NOUN
ejpam-6274	8	8	spaces	space	NOUN
ejpam-6274	8	9	are	be	AUX
ejpam-6274	8	10	presented	present	VERB
ejpam-6274	8	11	,	,	PUNCT
ejpam-6274	8	12	including	include	VERB
ejpam-6274	8	13	:	:	PUNCT
ejpam-6274	8	14	bessel	bessel	ADJ
ejpam-6274	8	15	potential	potential	ADJ
ejpam-6274	8	16	spaces	space	NOUN
ejpam-6274	8	17	,	,	PUNCT
ejpam-6274	8	18	besov	besov	NOUN
ejpam-6274	8	19	and	and	CCONJ
ejpam-6274	8	20	trieble	trieble	ADJ
ejpam-6274	8	21	-	-	PUNCT
ejpam-6274	8	22	lizorkin	lizorkin	NOUN
ejpam-6274	8	23	spaces	space	NOUN
ejpam-6274	8	24	,	,	PUNCT
ejpam-6274	8	25	hardy	hardy	ADJ
ejpam-6274	8	26	spaces	space	NOUN
ejpam-6274	8	27	,	,	PUNCT
ejpam-6274	8	28	herz	herz	PROPN
ejpam-6274	8	29	spaces	space	NOUN
ejpam-6274	8	30	,	,	PUNCT
ejpam-6274	8	31	grand	grand	ADJ
ejpam-6274	8	32	variable	variable	ADJ
ejpam-6274	8	33	herz	herz	PROPN
ejpam-6274	8	34	spaces	space	NOUN
ejpam-6274	8	35	,	,	PUNCT
ejpam-6274	8	36	grand	grand	ADJ
ejpam-6274	8	37	variable	variable	NOUN
ejpam-6274	8	38	weighted	weight	VERB
ejpam-6274	8	39	herz	herz	PROPN
ejpam-6274	8	40	spaces	space	NOUN
ejpam-6274	8	41	,	,	PUNCT
ejpam-6274	8	42	herz	herz	ADJ
ejpam-6274	8	43	-	-	PUNCT
ejpam-6274	8	44	morrey	morrey	PROPN
ejpam-6274	8	45	spaces	space	NOUN
ejpam-6274	8	46	,	,	PUNCT
ejpam-6274	8	47	grand	grand	ADJ
ejpam-6274	8	48	variable	variable	ADJ
ejpam-6274	8	49	herzmorrey	herzmorrey	NOUN
ejpam-6274	8	50	spaces	space	NOUN
ejpam-6274	8	51	,	,	PUNCT
ejpam-6274	8	52	morrey	morrey	PROPN
ejpam-6274	8	53	spaces	space	NOUN
ejpam-6274	8	54	,	,	PUNCT
ejpam-6274	8	55	morrey	morrey	PROPN
ejpam-6274	8	56	type	type	NOUN
ejpam-6274	8	57	besov	besov	NOUN
ejpam-6274	8	58	and	and	CCONJ
ejpam-6274	8	59	trieble	trieble	ADJ
ejpam-6274	8	60	-	-	PUNCT
ejpam-6274	8	61	lizorkin	lizorkin	NOUN
ejpam-6274	8	62	spaces	space	NOUN
ejpam-6274	8	63	,	,	PUNCT
ejpam-6274	8	64	trieblelizorkin	trieblelizorkin	NOUN
ejpam-6274	8	65	-	-	PUNCT
ejpam-6274	8	66	morrey	morrey	PROPN
ejpam-6274	8	67	spaces	space	NOUN
ejpam-6274	8	68	,	,	PUNCT
ejpam-6274	8	69	trieble	trieble	NOUN
ejpam-6274	8	70	-	-	PUNCT
ejpam-6274	8	71	lizorkin	lizorkin	ADJ
ejpam-6274	8	72	-	-	PUNCT
ejpam-6274	8	73	morrey	morrey	NOUN
ejpam-6274	8	74	spaces	space	NOUN
ejpam-6274	8	75	,	,	PUNCT
ejpam-6274	8	76	and	and	CCONJ
ejpam-6274	8	77	so	so	ADV
ejpam-6274	8	78	forth	forth	ADV
ejpam-6274	8	79	;	;	PUNCT
ejpam-6274	8	80	see	see	VERB
ejpam-6274	8	81	[	[	X
ejpam-6274	8	82	5–13	5–13	PROPN
ejpam-6274	8	83	,	,	PUNCT
ejpam-6274	8	84	13	13	NUM
ejpam-6274	8	85	,	,	PUNCT
ejpam-6274	8	86	14	14	NUM
ejpam-6274	8	87	,	,	PUNCT
ejpam-6274	8	88	∗corresponding	∗corresponde	VERB
ejpam-6274	8	89	author	author	NOUN
ejpam-6274	8	90	.	.	PUNCT
ejpam-6274	9	1	∗corresponding	∗corresponde	VERB
ejpam-6274	9	2	author	author	NOUN
ejpam-6274	9	3	.	.	PUNCT
ejpam-6274	10	1	doi	doi	NOUN
ejpam-6274	10	2	:	:	PUNCT
ejpam-6274	10	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6274	https://doi.org/10.29020/nybg.ejpam.v18i3.6274	ADJ
ejpam-6274	10	4	email	email	NOUN
ejpam-6274	10	5	addresses	address	VERB
ejpam-6274	10	6	:	:	PUNCT
ejpam-6274	10	7	mehvishsultanbaz@gmail.com	mehvishsultanbaz@gmail.com	X
ejpam-6274	10	8	(	(	PUNCT
ejpam-6274	10	9	m.	m.	NOUN
ejpam-6274	10	10	sultan	sultan	PROPN
ejpam-6274	10	11	)	)	PUNCT
ejpam-6274	10	12	,	,	PUNCT
ejpam-6274	10	13	babarsultan40@yahoo.com	babarsultan40@yahoo.com	X
ejpam-6274	10	14	(	(	PUNCT
ejpam-6274	10	15	b.	b.	PROPN
ejpam-6274	10	16	sultan	sultan	PROPN
ejpam-6274	10	17	)	)	PUNCT
ejpam-6274	10	18	,	,	PUNCT
ejpam-6274	10	19	lucian.popa@uab.ro	lucian.popa@uab.ro	NOUN
ejpam-6274	10	20	(	(	PUNCT
ejpam-6274	10	21	i	i	NOUN
ejpam-6274	10	22	-	-	PUNCT
ejpam-6274	10	23	l.	l.	PROPN
ejpam-6274	10	24	popaa	popaa	PROPN
ejpam-6274	10	25	)	)	PUNCT
ejpam-6274	10	26	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6274	10	27	1	1	NUM
ejpam-6274	10	28	copyright	copyright	NOUN
ejpam-6274	10	29	:	:	PUNCT
ejpam-6274	10	30	©	©	PROPN
ejpam-6274	10	31	2025	2025	NUM
ejpam-6274	10	32	the	the	DET
ejpam-6274	10	33	author(s	author(s	NOUN
ejpam-6274	10	34	)	)	PUNCT
ejpam-6274	10	35	.	.	PUNCT
ejpam-6274	11	1	(	(	PUNCT
ejpam-6274	11	2	cc	cc	NOUN
ejpam-6274	11	3	by	by	ADP
ejpam-6274	11	4	-	-	PUNCT
ejpam-6274	11	5	nc	nc	PROPN
ejpam-6274	11	6	4.0	4.0	NUM
ejpam-6274	11	7	)	)	PUNCT
ejpam-6274	11	8	m.	m.	NOUN
ejpam-6274	11	9	sultan	sultan	PROPN
ejpam-6274	11	10	,	,	PUNCT
ejpam-6274	11	11	b.	b.	PROPN
ejpam-6274	11	12	sultan	sultan	PROPN
ejpam-6274	11	13	,	,	PUNCT
ejpam-6274	11	14	i	i	PROPN
ejpam-6274	11	15	-	-	PUNCT
ejpam-6274	11	16	l.	l.	PROPN
ejpam-6274	11	17	popa	popa	PROPN
ejpam-6274	11	18	/	/	SYM
ejpam-6274	11	19	eur	eur	PROPN
ejpam-6274	11	20	.	.	PUNCT
ejpam-6274	12	1	j.	j.	PROPN
ejpam-6274	12	2	pure	pure	PROPN
ejpam-6274	12	3	appl	appl	PROPN
ejpam-6274	12	4	.	.	PROPN
ejpam-6274	12	5	math	math	PROPN
ejpam-6274	12	6	,	,	PUNCT
ejpam-6274	12	7	18	18	NUM
ejpam-6274	12	8	(	(	PUNCT
ejpam-6274	12	9	3	3	NUM
ejpam-6274	12	10	)	)	PUNCT
ejpam-6274	12	11	(	(	PUNCT
ejpam-6274	12	12	2025	2025	NUM
ejpam-6274	12	13	)	)	PUNCT
ejpam-6274	12	14	,	,	PUNCT
ejpam-6274	12	15	6274	6274	NUM
ejpam-6274	12	16	2	2	NUM
ejpam-6274	12	17	of	of	ADP
ejpam-6274	12	18	33	33	NUM
ejpam-6274	12	19	14	14	NUM
ejpam-6274	12	20	,	,	PUNCT
ejpam-6274	12	21	14–35	14–35	NUM
ejpam-6274	12	22	]	]	PUNCT
ejpam-6274	12	23	and	and	CCONJ
ejpam-6274	12	24	references	reference	NOUN
ejpam-6274	12	25	therein	therein	ADV
ejpam-6274	12	26	.	.	PUNCT
ejpam-6274	13	1	as	as	SCONJ
ejpam-6274	13	2	you	you	PRON
ejpam-6274	13	3	can	can	AUX
ejpam-6274	13	4	see	see	VERB
ejpam-6274	13	5	from	from	ADP
ejpam-6274	13	6	[	[	X
ejpam-6274	13	7	36–40	36–40	NUM
ejpam-6274	13	8	]	]	PUNCT
ejpam-6274	13	9	,	,	PUNCT
ejpam-6274	13	10	numerous	numerous	ADJ
ejpam-6274	13	11	conclusions	conclusion	NOUN
ejpam-6274	13	12	about	about	ADP
ejpam-6274	13	13	the	the	DET
ejpam-6274	13	14	boundedness	boundedness	NOUN
ejpam-6274	13	15	of	of	ADP
ejpam-6274	13	16	sublinear	sublinear	NOUN
ejpam-6274	13	17	operators	operator	NOUN
ejpam-6274	13	18	in	in	ADP
ejpam-6274	13	19	these	these	DET
ejpam-6274	13	20	spaces	space	NOUN
ejpam-6274	13	21	have	have	AUX
ejpam-6274	13	22	been	be	AUX
ejpam-6274	13	23	established	establish	VERB
ejpam-6274	13	24	.	.	PUNCT
ejpam-6274	14	1	a	a	DET
ejpam-6274	14	2	sublinear	sublinear	NOUN
ejpam-6274	14	3	operator	operator	NOUN
ejpam-6274	14	4	t	t	PROPN
ejpam-6274	14	5	satisfies	satisfy	VERB
ejpam-6274	14	6	the	the	DET
ejpam-6274	14	7	size	size	NOUN
ejpam-6274	14	8	condition	condition	NOUN
ejpam-6274	14	9	|tg(x)|	|tg(x)|	NOUN
ejpam-6274	14	10	⩽	⩽	PROPN
ejpam-6274	14	11	c	c	PROPN
ejpam-6274	14	12	∫	∫	PROPN
ejpam-6274	14	13	rn	rn	PROPN
ejpam-6274	14	14	|x−	|x−	PROPN
ejpam-6274	14	15	y|−n|g(y)|dy	y|−n|g(y)|dy	PROPN
ejpam-6274	14	16	for	for	ADP
ejpam-6274	14	17	all	all	DET
ejpam-6274	14	18	g	g	PROPN
ejpam-6274	14	19	∈	∈	PROPN
ejpam-6274	14	20	l1	l1	PROPN
ejpam-6274	14	21	loc	loc	PROPN
ejpam-6274	14	22	(	(	PUNCT
ejpam-6274	14	23	rn	rn	NOUN
ejpam-6274	14	24	)	)	PUNCT
ejpam-6274	14	25	with	with	ADP
ejpam-6274	14	26	compact	compact	ADJ
ejpam-6274	14	27	support	support	NOUN
ejpam-6274	14	28	and	and	CCONJ
ejpam-6274	14	29	a.e	a.e	NOUN
ejpam-6274	14	30	.	.	PROPN
ejpam-6274	14	31	x	x	PROPN
ejpam-6274	14	32	/∈	/∈	PUNCT
ejpam-6274	14	33	supp	supp	PROPN
ejpam-6274	14	34	g.	g.	PROPN
ejpam-6274	14	35	then	then	ADV
ejpam-6274	14	36	,	,	PUNCT
ejpam-6274	14	37	t	t	PROPN
ejpam-6274	14	38	is	be	AUX
ejpam-6274	14	39	bounded	bound	VERB
ejpam-6274	14	40	on	on	ADP
ejpam-6274	14	41	the	the	DET
ejpam-6274	14	42	grand	grand	ADJ
ejpam-6274	14	43	variable	variable	ADJ
ejpam-6274	14	44	herz	herz	ADJ
ejpam-6274	14	45	-	-	PUNCT
ejpam-6274	14	46	morrey	morrey	PROPN
ejpam-6274	14	47	spaces	space	NOUN
ejpam-6274	14	48	and	and	CCONJ
ejpam-6274	14	49	the	the	DET
ejpam-6274	14	50	homogeneous	homogeneous	ADJ
ejpam-6274	14	51	and	and	CCONJ
ejpam-6274	14	52	non	non	ADJ
ejpam-6274	14	53	-	-	ADJ
ejpam-6274	14	54	homogeneous	homogeneous	ADJ
ejpam-6274	14	55	herz	herz	ADJ
ejpam-6274	14	56	spaces	space	NOUN
ejpam-6274	14	57	(	(	PUNCT
ejpam-6274	14	58	see	see	VERB
ejpam-6274	14	59	the	the	DET
ejpam-6274	14	60	monographs	monograph	NOUN
ejpam-6274	15	1	[	[	X
ejpam-6274	15	2	41	41	NUM
ejpam-6274	15	3	,	,	PUNCT
ejpam-6274	15	4	42	42	NUM
ejpam-6274	15	5	]	]	PUNCT
ejpam-6274	15	6	)	)	PUNCT
ejpam-6274	15	7	.	.	PUNCT
ejpam-6274	16	1	l.	l.	PROPN
ejpam-6274	16	2	tang	tang	PROPN
ejpam-6274	16	3	and	and	CCONJ
ejpam-6274	16	4	d.	d.	PROPN
ejpam-6274	16	5	yang	yang	PROPN
ejpam-6274	16	6	then	then	ADV
ejpam-6274	16	7	expand	expand	VERB
ejpam-6274	16	8	these	these	DET
ejpam-6274	16	9	conclusions	conclusion	NOUN
ejpam-6274	16	10	for	for	ADP
ejpam-6274	16	11	the	the	DET
ejpam-6274	16	12	weighted	weight	VERB
ejpam-6274	16	13	vector	vector	NOUN
ejpam-6274	16	14	-	-	PUNCT
ejpam-6274	16	15	valued	value	VERB
ejpam-6274	16	16	situation	situation	NOUN
ejpam-6274	16	17	in	in	ADP
ejpam-6274	16	18	[	[	X
ejpam-6274	16	19	43	43	NUM
ejpam-6274	16	20	]	]	PUNCT
ejpam-6274	16	21	.	.	PUNCT
ejpam-6274	17	1	herz	herz	PROPN
ejpam-6274	17	2	type	type	PROPN
ejpam-6274	17	3	besov	besov	PROPN
ejpam-6274	17	4	and	and	CCONJ
ejpam-6274	17	5	triebellizorkin	triebellizorkin	NOUN
ejpam-6274	17	6	spaces	space	VERB
ejpam-6274	17	7	with	with	ADP
ejpam-6274	17	8	variable	variable	ADJ
ejpam-6274	17	9	exponent	exponent	NOUN
ejpam-6274	17	10	k̇η	k̇η	PROPN
ejpam-6274	17	11	,	,	PUNCT
ejpam-6274	17	12	q	q	PROPN
ejpam-6274	17	13	p	p	X
ejpam-6274	17	14	(	(	PUNCT
ejpam-6274	17	15	·	·	PUNCT
ejpam-6274	17	16	)	)	PUNCT
ejpam-6274	17	17	(	(	PUNCT
ejpam-6274	17	18	r	r	NOUN
ejpam-6274	17	19	n	n	CCONJ
ejpam-6274	17	20	)	)	PUNCT
ejpam-6274	17	21	were	be	AUX
ejpam-6274	17	22	introduced	introduce	VERB
ejpam-6274	17	23	by	by	ADP
ejpam-6274	17	24	c.	c.	PROPN
ejpam-6274	17	25	shi	shi	PROPN
ejpam-6274	17	26	and	and	CCONJ
ejpam-6274	17	27	the	the	DET
ejpam-6274	17	28	second	second	ADJ
ejpam-6274	17	29	author	author	NOUN
ejpam-6274	17	30	in	in	ADP
ejpam-6274	17	31	[	[	X
ejpam-6274	17	32	18	18	NUM
ejpam-6274	17	33	]	]	PUNCT
ejpam-6274	17	34	.	.	PUNCT
ejpam-6274	17	35	.	.	PUNCT
ejpam-6274	18	1	for	for	ADP
ejpam-6274	18	2	the	the	DET
ejpam-6274	18	3	besov	besov	NOUN
ejpam-6274	18	4	and	and	CCONJ
ejpam-6274	18	5	triebel	triebel	NOUN
ejpam-6274	18	6	-	-	PUNCT
ejpam-6274	18	7	lizorkin	lizorkin	NOUN
ejpam-6274	18	8	spaces	space	NOUN
ejpam-6274	18	9	of	of	ADP
ejpam-6274	18	10	constant	constant	ADJ
ejpam-6274	18	11	exponent	exponent	NOUN
ejpam-6274	18	12	herz	herz	PROPN
ejpam-6274	18	13	type	type	NOUN
ejpam-6274	18	14	,	,	PUNCT
ejpam-6274	18	15	we	we	PRON
ejpam-6274	18	16	direct	direct	VERB
ejpam-6274	18	17	the	the	DET
ejpam-6274	18	18	reader	reader	NOUN
ejpam-6274	18	19	to	to	ADP
ejpam-6274	18	20	[	[	X
ejpam-6274	18	21	44–47	44–47	NOUN
ejpam-6274	18	22	]	]	PUNCT
ejpam-6274	18	23	.	.	PUNCT
ejpam-6274	19	1	m.	m.	PROPN
ejpam-6274	19	2	izuki	izuki	PROPN
ejpam-6274	20	1	[	[	X
ejpam-6274	20	2	48	48	NUM
ejpam-6274	20	3	]	]	PUNCT
ejpam-6274	20	4	used	use	VERB
ejpam-6274	20	5	variable	variable	ADJ
ejpam-6274	20	6	exponent	exponent	NOUN
ejpam-6274	20	7	mk̇η	mk̇η	X
ejpam-6274	20	8	,	,	PUNCT
ejpam-6274	20	9	λ	λ	X
ejpam-6274	20	10	q	q	X
ejpam-6274	20	11	,	,	PUNCT
ejpam-6274	20	12	p	p	X
ejpam-6274	20	13	(	(	PUNCT
ejpam-6274	20	14	·	·	PUNCT
ejpam-6274	20	15	)	)	PUNCT
ejpam-6274	20	16	(	(	PUNCT
ejpam-6274	20	17	r	r	NOUN
ejpam-6274	20	18	n	n	CCONJ
ejpam-6274	20	19	)	)	PUNCT
ejpam-6274	20	20	to	to	PART
ejpam-6274	20	21	get	get	VERB
ejpam-6274	20	22	the	the	DET
ejpam-6274	20	23	vector	vector	NOUN
ejpam-6274	20	24	-	-	PUNCT
ejpam-6274	20	25	valued	value	VERB
ejpam-6274	20	26	boundedness	boundedness	NOUN
ejpam-6274	20	27	for	for	ADP
ejpam-6274	20	28	certain	certain	ADJ
ejpam-6274	20	29	sublinear	sublinear	NOUN
ejpam-6274	20	30	operators	operator	NOUN
ejpam-6274	20	31	that	that	PRON
ejpam-6274	20	32	meet	meet	VERB
ejpam-6274	20	33	the	the	DET
ejpam-6274	20	34	size	size	NOUN
ejpam-6274	20	35	requirement	requirement	NOUN
ejpam-6274	20	36	on	on	ADP
ejpam-6274	20	37	herz	herz	PROPN
ejpam-6274	20	38	-	-	PUNCT
ejpam-6274	20	39	morrey	morrey	PROPN
ejpam-6274	20	40	spaces	space	NOUN
ejpam-6274	20	41	.	.	PUNCT
ejpam-6274	21	1	sultan	sultan	PROPN
ejpam-6274	21	2	et	et	PROPN
ejpam-6274	21	3	al	al	PROPN
ejpam-6274	21	4	.	.	PUNCT
ejpam-6274	22	1	[	[	X
ejpam-6274	22	2	49	49	NUM
ejpam-6274	22	3	]	]	PUNCT
ejpam-6274	22	4	presented	present	VERB
ejpam-6274	22	5	the	the	DET
ejpam-6274	22	6	concept	concept	NOUN
ejpam-6274	22	7	of	of	ADP
ejpam-6274	22	8	grand	grand	ADJ
ejpam-6274	22	9	variable	variable	ADJ
ejpam-6274	22	10	herz	herz	ADJ
ejpam-6274	22	11	-	-	PUNCT
ejpam-6274	22	12	morrey	morrey	PROPN
ejpam-6274	22	13	spaces	space	NOUN
ejpam-6274	22	14	;	;	PUNCT
ejpam-6274	22	15	see	see	VERB
ejpam-6274	22	16	[	[	X
ejpam-6274	22	17	50–52	50–52	NUM
ejpam-6274	22	18	]	]	PUNCT
ejpam-6274	22	19	for	for	ADP
ejpam-6274	22	20	additional	additional	ADJ
ejpam-6274	22	21	findings	finding	NOUN
ejpam-6274	22	22	on	on	ADP
ejpam-6274	22	23	these	these	DET
ejpam-6274	22	24	spaces	space	NOUN
ejpam-6274	22	25	.	.	PUNCT
ejpam-6274	23	1	the	the	DET
ejpam-6274	23	2	boundedness	boundedness	NOUN
ejpam-6274	23	3	of	of	ADP
ejpam-6274	23	4	vector	vector	NOUN
ejpam-6274	23	5	-	-	PUNCT
ejpam-6274	23	6	valued	value	VERB
ejpam-6274	23	7	hardy	hardy	ADJ
ejpam-6274	23	8	-	-	PUNCT
ejpam-6274	23	9	littlewood	littlewood	NOUN
ejpam-6274	23	10	maximal	maximal	ADJ
ejpam-6274	23	11	operators	operator	NOUN
ejpam-6274	23	12	in	in	ADP
ejpam-6274	23	13	herz	herz	PROPN
ejpam-6274	23	14	spaces	space	NOUN
ejpam-6274	23	15	with	with	ADP
ejpam-6274	23	16	variable	variable	ADJ
ejpam-6274	23	17	exponents	exponent	NOUN
ejpam-6274	23	18	was	be	AUX
ejpam-6274	23	19	established	establish	VERB
ejpam-6274	23	20	by	by	ADP
ejpam-6274	23	21	the	the	DET
ejpam-6274	23	22	authors	author	NOUN
ejpam-6274	23	23	in	in	ADP
ejpam-6274	23	24	[	[	X
ejpam-6274	23	25	53	53	NUM
ejpam-6274	23	26	]	]	PUNCT
ejpam-6274	23	27	.	.	PUNCT
ejpam-6274	24	1	peetre	peetre	PROPN
ejpam-6274	24	2	’s	’s	PART
ejpam-6274	24	3	maximal	maximal	ADJ
ejpam-6274	24	4	operators	operator	NOUN
ejpam-6274	24	5	were	be	AUX
ejpam-6274	24	6	used	use	VERB
ejpam-6274	24	7	to	to	PART
ejpam-6274	24	8	characterize	characterize	VERB
ejpam-6274	24	9	herz	herz	ADJ
ejpam-6274	24	10	type	type	NOUN
ejpam-6274	24	11	besov	besov	NOUN
ejpam-6274	24	12	and	and	CCONJ
ejpam-6274	24	13	triebel	triebel	NOUN
ejpam-6274	24	14	-	-	PUNCT
ejpam-6274	24	15	lizorkin	lizorkin	NOUN
ejpam-6274	24	16	spaces	space	NOUN
ejpam-6274	24	17	with	with	ADP
ejpam-6274	24	18	variable	variable	ADJ
ejpam-6274	24	19	exponents	exponent	NOUN
ejpam-6274	24	20	.	.	PUNCT
ejpam-6274	25	1	the	the	DET
ejpam-6274	25	2	current	current	ADJ
ejpam-6274	25	3	research	research	NOUN
ejpam-6274	25	4	examines	examine	VERB
ejpam-6274	25	5	the	the	DET
ejpam-6274	25	6	boundedness	boundedness	NOUN
ejpam-6274	25	7	of	of	ADP
ejpam-6274	25	8	vector	vector	NOUN
ejpam-6274	25	9	-	-	PUNCT
ejpam-6274	25	10	valued	value	VERB
ejpam-6274	25	11	hardy	hardy	ADJ
ejpam-6274	25	12	-	-	PUNCT
ejpam-6274	25	13	littlewood	littlewood	NOUN
ejpam-6274	25	14	maximal	maximal	ADJ
ejpam-6274	25	15	operators	operator	NOUN
ejpam-6274	25	16	on	on	ADP
ejpam-6274	25	17	grand	grand	ADJ
ejpam-6274	25	18	variable	variable	ADJ
ejpam-6274	25	19	herz	herz	ADJ
ejpam-6274	25	20	-	-	PUNCT
ejpam-6274	25	21	morrey	morrey	PROPN
ejpam-6274	25	22	type	type	NOUN
ejpam-6274	25	23	besov	besov	NOUN
ejpam-6274	25	24	and	and	CCONJ
ejpam-6274	25	25	triebel	triebel	NOUN
ejpam-6274	25	26	-	-	PUNCT
ejpam-6274	25	27	lizorkin	lizorkin	NOUN
ejpam-6274	25	28	spaces	space	NOUN
ejpam-6274	25	29	,	,	PUNCT
ejpam-6274	25	30	drawing	draw	VERB
ejpam-6274	25	31	inspiration	inspiration	NOUN
ejpam-6274	25	32	from	from	ADP
ejpam-6274	25	33	the	the	DET
ejpam-6274	25	34	aforementioned	aforementioned	ADJ
ejpam-6274	25	35	publications	publication	NOUN
ejpam-6274	25	36	.	.	PUNCT
ejpam-6274	26	1	the	the	DET
ejpam-6274	26	2	paper	paper	NOUN
ejpam-6274	26	3	is	be	AUX
ejpam-6274	26	4	organised	organise	VERB
ejpam-6274	26	5	as	as	SCONJ
ejpam-6274	26	6	follows	follow	VERB
ejpam-6274	26	7	.	.	PUNCT
ejpam-6274	27	1	we	we	PRON
ejpam-6274	27	2	provide	provide	VERB
ejpam-6274	27	3	some	some	DET
ejpam-6274	27	4	conventions	convention	NOUN
ejpam-6274	27	5	in	in	ADP
ejpam-6274	27	6	the	the	DET
ejpam-6274	27	7	remainder	remainder	NOUN
ejpam-6274	27	8	of	of	ADP
ejpam-6274	27	9	the	the	DET
ejpam-6274	27	10	section	section	NOUN
ejpam-6274	27	11	.	.	PUNCT
ejpam-6274	28	1	our	our	PRON
ejpam-6274	28	2	primary	primary	ADJ
ejpam-6274	28	3	findings	finding	NOUN
ejpam-6274	28	4	,	,	PUNCT
ejpam-6274	28	5	which	which	PRON
ejpam-6274	28	6	are	be	AUX
ejpam-6274	28	7	a	a	DET
ejpam-6274	28	8	generalization	generalization	NOUN
ejpam-6274	28	9	of	of	ADP
ejpam-6274	28	10	related	related	ADJ
ejpam-6274	28	11	findings	finding	NOUN
ejpam-6274	28	12	in	in	ADP
ejpam-6274	28	13	[	[	X
ejpam-6274	28	14	48	48	NUM
ejpam-6274	28	15	]	]	PUNCT
ejpam-6274	28	16	and	and	CCONJ
ejpam-6274	28	17	[	[	X
ejpam-6274	28	18	53	53	NUM
ejpam-6274	28	19	,	,	PUNCT
ejpam-6274	28	20	54	54	NUM
ejpam-6274	28	21	]	]	PUNCT
ejpam-6274	28	22	,	,	PUNCT
ejpam-6274	28	23	will	will	AUX
ejpam-6274	28	24	be	be	AUX
ejpam-6274	28	25	presented	present	VERB
ejpam-6274	28	26	in	in	ADP
ejpam-6274	28	27	section	section	NOUN
ejpam-6274	28	28	2	2	NUM
ejpam-6274	28	29	.	.	PUNCT
ejpam-6274	29	1	we	we	PRON
ejpam-6274	29	2	provide	provide	VERB
ejpam-6274	29	3	evidence	evidence	NOUN
ejpam-6274	29	4	for	for	ADP
ejpam-6274	29	5	our	our	PRON
ejpam-6274	29	6	findings	finding	NOUN
ejpam-6274	29	7	in	in	ADP
ejpam-6274	29	8	section	section	NOUN
ejpam-6274	29	9	3	3	NUM
ejpam-6274	29	10	.	.	NOUN
ejpam-6274	29	11	2	2	NUM
ejpam-6274	29	12	.	.	X
ejpam-6274	29	13	main	main	ADJ
ejpam-6274	29	14	results	result	NOUN
ejpam-6274	29	15	the	the	DET
ejpam-6274	29	16	n	n	ADV
ejpam-6274	29	17	-	-	PUNCT
ejpam-6274	29	18	dimensional	dimensional	ADJ
ejpam-6274	29	19	real	real	ADJ
ejpam-6274	29	20	euclidean	euclidean	ADJ
ejpam-6274	29	21	space	space	NOUN
ejpam-6274	29	22	is	be	AUX
ejpam-6274	29	23	denoted	denote	VERB
ejpam-6274	29	24	as	as	ADP
ejpam-6274	29	25	rn	rn	PROPN
ejpam-6274	29	26	,	,	PUNCT
ejpam-6274	29	27	as	as	SCONJ
ejpam-6274	29	28	is	be	AUX
ejpam-6274	29	29	customary	customary	ADJ
ejpam-6274	29	30	.	.	PUNCT
ejpam-6274	30	1	let	let	VERB
ejpam-6274	30	2	a	a	PRON
ejpam-6274	30	3	be	be	AUX
ejpam-6274	30	4	a	a	DET
ejpam-6274	30	5	measurable	measurable	ADJ
ejpam-6274	30	6	subset	subset	NOUN
ejpam-6274	30	7	of	of	ADP
ejpam-6274	30	8	rn	rn	PROPN
ejpam-6274	30	9	.	.	PROPN
ejpam-6274	31	1	throughout	throughout	ADP
ejpam-6274	31	2	this	this	DET
ejpam-6274	31	3	paper	paper	NOUN
ejpam-6274	31	4	,	,	PUNCT
ejpam-6274	31	5	c	c	PROPN
ejpam-6274	31	6	and	and	CCONJ
ejpam-6274	31	7	c	c	PROPN
ejpam-6274	31	8	are	be	AUX
ejpam-6274	31	9	always	always	ADV
ejpam-6274	31	10	positive	positive	ADJ
ejpam-6274	31	11	constants	constant	NOUN
ejpam-6274	31	12	which	which	PRON
ejpam-6274	31	13	may	may	AUX
ejpam-6274	31	14	vary	vary	VERB
ejpam-6274	31	15	from	from	ADP
ejpam-6274	31	16	line	line	NOUN
ejpam-6274	31	17	to	to	ADP
ejpam-6274	31	18	line	line	NOUN
ejpam-6274	31	19	.	.	PUNCT
ejpam-6274	32	1	for	for	ADP
ejpam-6274	32	2	a	a	DET
ejpam-6274	32	3	measurable	measurable	ADJ
ejpam-6274	32	4	set	set	NOUN
ejpam-6274	32	5	s	s	PROPN
ejpam-6274	32	6	,	,	PUNCT
ejpam-6274	32	7	|s|	|s|	NOUN
ejpam-6274	32	8	denote	denote	VERB
ejpam-6274	32	9	its	its	PRON
ejpam-6274	32	10	lebesgue	lebesgue	NOUN
ejpam-6274	32	11	measure	measure	NOUN
ejpam-6274	32	12	and	and	CCONJ
ejpam-6274	32	13	1s	1s	NUM
ejpam-6274	32	14	denote	denote	VERB
ejpam-6274	32	15	its	its	PRON
ejpam-6274	32	16	characteristic	characteristic	ADJ
ejpam-6274	32	17	function	function	NOUN
ejpam-6274	32	18	.	.	PUNCT
ejpam-6274	33	1	we	we	PRON
ejpam-6274	33	2	write	write	VERB
ejpam-6274	33	3	u	u	PRON
ejpam-6274	33	4	⩽	⩽	PROPN
ejpam-6274	33	5	v	v	ADP
ejpam-6274	33	6	,	,	PUNCT
ejpam-6274	33	7	if	if	SCONJ
ejpam-6274	33	8	u	u	PROPN
ejpam-6274	33	9	≤	≤	X
ejpam-6274	33	10	cv	cv	PROPN
ejpam-6274	33	11	,	,	PUNCT
ejpam-6274	33	12	and	and	CCONJ
ejpam-6274	33	13	if	if	SCONJ
ejpam-6274	33	14	u	u	PROPN
ejpam-6274	33	15	⩽	⩽	NOUN
ejpam-6274	33	16	v	v	ADP
ejpam-6274	33	17	and	and	CCONJ
ejpam-6274	33	18	v	v	ADP
ejpam-6274	33	19	⩽	⩽	PROPN
ejpam-6274	33	20	u	u	PROPN
ejpam-6274	33	21	,	,	PUNCT
ejpam-6274	33	22	then	then	ADV
ejpam-6274	33	23	u	u	NOUN
ejpam-6274	33	24	∼	∼	NOUN
ejpam-6274	33	25	v.	v.	ADP
ejpam-6274	33	26	by	by	ADP
ejpam-6274	33	27	variable	variable	ADJ
ejpam-6274	33	28	exponents	exponent	NOUN
ejpam-6274	33	29	we	we	PRON
ejpam-6274	33	30	mean	mean	VERB
ejpam-6274	33	31	a	a	DET
ejpam-6274	33	32	measurable	measurable	ADJ
ejpam-6274	33	33	function	function	NOUN
ejpam-6274	33	34	on	on	ADP
ejpam-6274	33	35	rn	rn	PROPN
ejpam-6274	33	36	.	.	PROPN
ejpam-6274	33	37	for	for	ADP
ejpam-6274	33	38	every	every	DET
ejpam-6274	33	39	l	l	NOUN
ejpam-6274	33	40	∈	∈	PROPN
ejpam-6274	33	41	z	z	NOUN
ejpam-6274	33	42	,	,	PUNCT
ejpam-6274	33	43	we	we	PRON
ejpam-6274	33	44	denote	denote	VERB
ejpam-6274	33	45	bt	bt	NOUN
ejpam-6274	33	46	=	=	PUNCT
ejpam-6274	33	47	b(0	b(0	PROPN
ejpam-6274	33	48	,	,	PUNCT
ejpam-6274	33	49	2	2	NUM
ejpam-6274	33	50	t	t	NOUN
ejpam-6274	33	51	)	)	PUNCT
ejpam-6274	33	52	=	=	PRON
ejpam-6274	34	1	{	{	PUNCT
ejpam-6274	34	2	x	x	PUNCT
ejpam-6274	34	3	∈	∈	PROPN
ejpam-6274	34	4	rn	rn	PROPN
ejpam-6274	34	5	:	:	PUNCT
ejpam-6274	34	6	|x|	|x|	PROPN
ejpam-6274	34	7	<	<	X
ejpam-6274	34	8	2	2	NUM
ejpam-6274	34	9	t	t	NOUN
ejpam-6274	34	10	}	}	PUNCT
ejpam-6274	34	11	.	.	PUNCT
ejpam-6274	35	1	after	after	ADP
ejpam-6274	35	2	deducting	deduct	VERB
ejpam-6274	35	3	bt−1	bt−1	PROPN
ejpam-6274	35	4	from	from	ADP
ejpam-6274	35	5	rt	rt	PROPN
ejpam-6274	35	6	,	,	PUNCT
ejpam-6274	35	7	1rt	1rt	ADJ
ejpam-6274	35	8	=	=	NOUN
ejpam-6274	35	9	1	1	NUM
ejpam-6274	35	10	t.	t.	NOUN
ejpam-6274	35	11	by	by	ADP
ejpam-6274	35	12	p(rn	p(rn	PROPN
ejpam-6274	35	13	)	)	PUNCT
ejpam-6274	35	14	we	we	PRON
ejpam-6274	35	15	denote	denote	VERB
ejpam-6274	35	16	the	the	DET
ejpam-6274	35	17	subset	subset	NOUN
ejpam-6274	35	18	of	of	ADP
ejpam-6274	35	19	variable	variable	ADJ
ejpam-6274	35	20	exponents	exponent	NOUN
ejpam-6274	35	21	with	with	ADP
ejpam-6274	35	22	range	range	NOUN
ejpam-6274	35	23	[	[	X
ejpam-6274	35	24	1,∞	1,∞	NUM
ejpam-6274	35	25	]	]	PUNCT
ejpam-6274	35	26	.	.	PUNCT
ejpam-6274	36	1	let	let	VERB
ejpam-6274	36	2	q−	q−	PROPN
ejpam-6274	36	3	:	:	PUNCT
ejpam-6274	36	4	=	=	SYM
ejpam-6274	36	5	ess	ess	PROPN
ejpam-6274	36	6	inf	inf	PROPN
ejpam-6274	36	7	y∈a	y∈a	PROPN
ejpam-6274	36	8	q(y	q(y	PROPN
ejpam-6274	36	9	)	)	PUNCT
ejpam-6274	36	10	>	>	X
ejpam-6274	36	11	1	1	NUM
ejpam-6274	36	12	and	and	CCONJ
ejpam-6274	36	13	q+	q+	ADV
ejpam-6274	36	14	:	:	PUNCT
ejpam-6274	36	15	=	=	PUNCT
ejpam-6274	36	16	ess	ess	NOUN
ejpam-6274	36	17	sup	sup	NOUN
ejpam-6274	36	18	y∈a	y∈a	NOUN
ejpam-6274	36	19	q(y	q(y	NOUN
ejpam-6274	36	20	)	)	PUNCT
ejpam-6274	36	21	<	<	X
ejpam-6274	36	22	∞	∞	PROPN
ejpam-6274	36	23	,	,	PUNCT
ejpam-6274	36	24	then	then	ADV
ejpam-6274	36	25	we	we	PRON
ejpam-6274	36	26	have	have	VERB
ejpam-6274	36	27	1	1	NUM
ejpam-6274	36	28	≤	≤	NOUN
ejpam-6274	36	29	q−(a	q−(a	ADV
ejpam-6274	36	30	)	)	PUNCT
ejpam-6274	36	31	≤	≤	NOUN
ejpam-6274	36	32	q(y	q(y	NOUN
ejpam-6274	36	33	)	)	PUNCT
ejpam-6274	36	34	≤	≤	NOUN
ejpam-6274	36	35	q+(a	q+(a	NUM
ejpam-6274	36	36	)	)	PUNCT
ejpam-6274	36	37	<	<	X
ejpam-6274	36	38	∞.	∞.	PROPN
ejpam-6274	36	39	(	(	PUNCT
ejpam-6274	36	40	2.1	2.1	NUM
ejpam-6274	36	41	)	)	PUNCT
ejpam-6274	36	42	the	the	DET
ejpam-6274	36	43	notation	notation	NOUN
ejpam-6274	36	44	b	b	PROPN
ejpam-6274	36	45	is	be	AUX
ejpam-6274	36	46	the	the	DET
ejpam-6274	36	47	ball	ball	NOUN
ejpam-6274	36	48	such	such	ADJ
ejpam-6274	36	49	that	that	SCONJ
ejpam-6274	36	50	b(z	b(z	NOUN
ejpam-6274	36	51	,	,	PUNCT
ejpam-6274	36	52	r	r	NOUN
ejpam-6274	36	53	)	)	PUNCT
ejpam-6274	36	54	:	:	PUNCT
ejpam-6274	37	1	=	=	SYM
ejpam-6274	37	2	{	{	PUNCT
ejpam-6274	37	3	y	y	PROPN
ejpam-6274	37	4	∈	∈	PROPN
ejpam-6274	37	5	a	a	DET
ejpam-6274	37	6	:	:	PUNCT
ejpam-6274	37	7	|z	|z	PROPN
ejpam-6274	37	8	−	−	PROPN
ejpam-6274	37	9	y|	y|	NOUN
ejpam-6274	37	10	<	<	X
ejpam-6274	37	11	r	r	NOUN
ejpam-6274	37	12	}	}	PUNCT
ejpam-6274	37	13	.	.	PUNCT
ejpam-6274	38	1	now	now	ADV
ejpam-6274	38	2	variable	variable	ADJ
ejpam-6274	38	3	lebesgue	lebesgue	NOUN
ejpam-6274	38	4	space	space	NOUN
ejpam-6274	38	5	lq(·)(a	lq(·)(a	PROPN
ejpam-6274	38	6	)	)	PUNCT
ejpam-6274	38	7	is	be	AUX
ejpam-6274	38	8	given	give	VERB
ejpam-6274	38	9	as	as	ADP
ejpam-6274	38	10	lp(·)(a	lp(·)(a	ADJ
ejpam-6274	38	11	)	)	PUNCT
ejpam-6274	39	1	=	=	PRON
ejpam-6274	39	2	{	{	PUNCT
ejpam-6274	39	3	g	g	NOUN
ejpam-6274	39	4	is	be	AUX
ejpam-6274	39	5	measurable	measurable	ADJ
ejpam-6274	39	6	:	:	PUNCT
ejpam-6274	39	7	∫	∫	PROPN
ejpam-6274	39	8	a	a	DET
ejpam-6274	39	9	(	(	PUNCT
ejpam-6274	39	10	|g(z)|	|g(z)|	NOUN
ejpam-6274	39	11	λ	λ	PROPN
ejpam-6274	39	12	)	)	PUNCT
ejpam-6274	39	13	q(z	q(z	PROPN
ejpam-6274	39	14	)	)	PUNCT
ejpam-6274	39	15	dz	dz	X
ejpam-6274	39	16	<	<	X
ejpam-6274	39	17	∞	∞	PROPN
ejpam-6274	39	18	where	where	SCONJ
ejpam-6274	39	19	λ	λ	PROPN
ejpam-6274	39	20	is	be	AUX
ejpam-6274	39	21	a	a	DET
ejpam-6274	39	22	constant	constant	ADJ
ejpam-6274	39	23	}	}	PUNCT
ejpam-6274	39	24	.	.	PUNCT
ejpam-6274	40	1	m.	m.	PROPN
ejpam-6274	40	2	sultan	sultan	PROPN
ejpam-6274	40	3	,	,	PUNCT
ejpam-6274	40	4	b.	b.	PROPN
ejpam-6274	40	5	sultan	sultan	PROPN
ejpam-6274	40	6	,	,	PUNCT
ejpam-6274	40	7	i	i	PROPN
ejpam-6274	40	8	-	-	PUNCT
ejpam-6274	40	9	l.	l.	PROPN
ejpam-6274	40	10	popa	popa	PROPN
ejpam-6274	40	11	/	/	SYM
ejpam-6274	40	12	eur	eur	PROPN
ejpam-6274	40	13	.	.	PUNCT
ejpam-6274	41	1	j.	j.	PROPN
ejpam-6274	41	2	pure	pure	PROPN
ejpam-6274	41	3	appl	appl	PROPN
ejpam-6274	41	4	.	.	PROPN
ejpam-6274	41	5	math	math	PROPN
ejpam-6274	41	6	,	,	PUNCT
ejpam-6274	41	7	18	18	NUM
ejpam-6274	41	8	(	(	PUNCT
ejpam-6274	41	9	3	3	NUM
ejpam-6274	41	10	)	)	PUNCT
ejpam-6274	41	11	(	(	PUNCT
ejpam-6274	41	12	2025	2025	NUM
ejpam-6274	41	13	)	)	PUNCT
ejpam-6274	41	14	,	,	PUNCT
ejpam-6274	41	15	6274	6274	NUM
ejpam-6274	41	16	3	3	NUM
ejpam-6274	41	17	of	of	ADP
ejpam-6274	41	18	33	33	NUM
ejpam-6274	41	19	lebesgue	lebesgue	NOUN
ejpam-6274	41	20	space	space	NOUN
ejpam-6274	41	21	is	be	AUX
ejpam-6274	41	22	equipped	equip	VERB
ejpam-6274	41	23	with	with	ADP
ejpam-6274	41	24	the	the	DET
ejpam-6274	41	25	norm	norm	NOUN
ejpam-6274	41	26	∥g∥lq(·)(a	∥g∥lq(·)(a	NOUN
ejpam-6274	41	27	)	)	PUNCT
ejpam-6274	42	1	=	=	SYM
ejpam-6274	42	2	inf	inf	NOUN
ejpam-6274	42	3	{	{	PUNCT
ejpam-6274	42	4	λ	λ	X
ejpam-6274	42	5	>	>	X
ejpam-6274	42	6	0	0	NUM
ejpam-6274	42	7	:	:	PUNCT
ejpam-6274	42	8	∫	∫	PROPN
ejpam-6274	42	9	a	a	PRON
ejpam-6274	42	10	(	(	PUNCT
ejpam-6274	42	11	|g(z)|	|g(z)|	NOUN
ejpam-6274	42	12	λ	λ	PROPN
ejpam-6274	42	13	)	)	PUNCT
ejpam-6274	42	14	q(z	q(z	PROPN
ejpam-6274	42	15	)	)	PUNCT
ejpam-6274	42	16	dz	dz	PROPN
ejpam-6274	42	17	≤	≤	ADV
ejpam-6274	42	18	1	1	NUM
ejpam-6274	42	19	}	}	PUNCT
ejpam-6274	42	20	.	.	PUNCT
ejpam-6274	43	1	the	the	DET
ejpam-6274	43	2	hardy	hardy	ADJ
ejpam-6274	43	3	-	-	PUNCT
ejpam-6274	43	4	littlewood	littlewood	NOUN
ejpam-6274	43	5	maximal	maximal	ADJ
ejpam-6274	43	6	operator	operator	NOUN
ejpam-6274	43	7	m	m	PRON
ejpam-6274	43	8	for	for	ADP
ejpam-6274	43	9	g	g	PROPN
ejpam-6274	43	10	∈	∈	PROPN
ejpam-6274	43	11	l1	l1	PROPN
ejpam-6274	43	12	loc(a	loc(a	PROPN
ejpam-6274	43	13	)	)	PUNCT
ejpam-6274	43	14	is	be	AUX
ejpam-6274	43	15	defined	define	VERB
ejpam-6274	43	16	as	as	ADP
ejpam-6274	43	17	mg(z	mg(z	PROPN
ejpam-6274	43	18	)	)	PUNCT
ejpam-6274	43	19	:	:	PUNCT
ejpam-6274	44	1	=	=	NOUN
ejpam-6274	44	2	sup	sup	NOUN
ejpam-6274	44	3	0	0	NUM
ejpam-6274	44	4	<	<	NOUN
ejpam-6274	44	5	r	r	NOUN
ejpam-6274	44	6	1	1	NUM
ejpam-6274	44	7	rn	rn	PROPN
ejpam-6274	44	8	∫	∫	PROPN
ejpam-6274	44	9	b(z	b(z	PROPN
ejpam-6274	44	10	,	,	PUNCT
ejpam-6274	44	11	r	r	NOUN
ejpam-6274	44	12	)	)	PUNCT
ejpam-6274	44	13	|g(z)|dz	|g(z)|dz	NOUN
ejpam-6274	44	14	(	(	PUNCT
ejpam-6274	44	15	z	z	NOUN
ejpam-6274	44	16	∈	∈	PROPN
ejpam-6274	44	17	a	a	PRON
ejpam-6274	44	18	)	)	PUNCT
ejpam-6274	44	19	.	.	PUNCT
ejpam-6274	45	1	the	the	DET
ejpam-6274	45	2	notion	notion	NOUN
ejpam-6274	45	3	of	of	ADP
ejpam-6274	45	4	b(a	b(a	PROPN
ejpam-6274	45	5	)	)	PUNCT
ejpam-6274	45	6	denote	denote	VERB
ejpam-6274	45	7	the	the	DET
ejpam-6274	45	8	collection	collection	NOUN
ejpam-6274	45	9	of	of	ADP
ejpam-6274	45	10	q	q	PROPN
ejpam-6274	45	11	(	(	PUNCT
ejpam-6274	45	12	·	·	PUNCT
ejpam-6274	45	13	)	)	PUNCT
ejpam-6274	45	14	∈	∈	PROPN
ejpam-6274	45	15	p(a	p(a	NOUN
ejpam-6274	45	16	)	)	PUNCT
ejpam-6274	45	17	such	such	ADJ
ejpam-6274	45	18	that	that	SCONJ
ejpam-6274	45	19	m	m	PROPN
ejpam-6274	45	20	is	be	AUX
ejpam-6274	45	21	bounded	bound	VERB
ejpam-6274	45	22	on	on	ADP
ejpam-6274	45	23	lq(·)(a	lq(·)(a	PROPN
ejpam-6274	45	24	)	)	PUNCT
ejpam-6274	45	25	.	.	PUNCT
ejpam-6274	46	1	let	let	VERB
ejpam-6274	46	2	x	x	PRON
ejpam-6274	46	3	,	,	PUNCT
ejpam-6274	46	4	y	y	PROPN
ejpam-6274	46	5	∈	∈	PROPN
ejpam-6274	46	6	a	a	PRON
ejpam-6274	46	7	with	with	ADP
ejpam-6274	46	8	|x	|x	NOUN
ejpam-6274	46	9	−	−	NOUN
ejpam-6274	46	10	y|	y|	NOUN
ejpam-6274	46	11	≤	≤	NUM
ejpam-6274	46	12	1	1	NUM
ejpam-6274	46	13	2	2	NUM
ejpam-6274	46	14	and	and	CCONJ
ejpam-6274	46	15	q	q	NOUN
ejpam-6274	46	16	:	:	PUNCT
ejpam-6274	46	17	a	a	DET
ejpam-6274	46	18	7→	7→	NUM
ejpam-6274	46	19	(	(	PUNCT
ejpam-6274	46	20	0,∞	0,∞	NUM
ejpam-6274	46	21	)	)	PUNCT
ejpam-6274	46	22	.	.	PUNCT
ejpam-6274	47	1	now	now	ADV
ejpam-6274	47	2	log	log	NOUN
ejpam-6274	47	3	-	-	PUNCT
ejpam-6274	47	4	hölder	hölder	NOUN
ejpam-6274	47	5	continuity	continuity	NOUN
ejpam-6274	47	6	condition	condition	NOUN
ejpam-6274	47	7	(	(	PUNCT
ejpam-6274	47	8	or	or	CCONJ
ejpam-6274	47	9	dini	dini	NOUN
ejpam-6274	47	10	-	-	PUNCT
ejpam-6274	47	11	lipschitz	lipschitz	ADJ
ejpam-6274	47	12	condition	condition	NOUN
ejpam-6274	47	13	)	)	PUNCT
ejpam-6274	47	14	is	be	AUX
ejpam-6274	47	15	given	give	VERB
ejpam-6274	47	16	as	as	SCONJ
ejpam-6274	47	17	c	c	PROPN
ejpam-6274	47	18	−	−	PROPN
ejpam-6274	47	19	ln	ln	PROPN
ejpam-6274	47	20	|x−	|x−	PROPN
ejpam-6274	47	21	y|	y|	NOUN
ejpam-6274	47	22	≥	≥	NOUN
ejpam-6274	47	23	|q(x)−	|q(x)−	VERB
ejpam-6274	47	24	q(y)|	q(y)|	PROPN
ejpam-6274	47	25	,	,	PUNCT
ejpam-6274	47	26	(	(	PUNCT
ejpam-6274	47	27	2.2	2.2	NUM
ejpam-6274	47	28	)	)	PUNCT
ejpam-6274	47	29	where	where	SCONJ
ejpam-6274	47	30	c	c	PROPN
ejpam-6274	47	31	is	be	AUX
ejpam-6274	47	32	called	call	VERB
ejpam-6274	47	33	log	log	NOUN
ejpam-6274	47	34	-	-	PUNCT
ejpam-6274	47	35	hölder	hölder	NOUN
ejpam-6274	47	36	continuity	continuity	NOUN
ejpam-6274	47	37	constant	constant	ADJ
ejpam-6274	47	38	.	.	PUNCT
ejpam-6274	48	1	let	let	VERB
ejpam-6274	48	2	log	log	NOUN
ejpam-6274	48	3	-	-	PUNCT
ejpam-6274	48	4	dini	dini	NOUN
ejpam-6274	48	5	-	-	PUNCT
ejpam-6274	48	6	lipschitz	lipschitz	ADJ
ejpam-6274	48	7	constant	constant	ADJ
ejpam-6274	48	8	(	(	PUNCT
ejpam-6274	48	9	or	or	CCONJ
ejpam-6274	48	10	decay	decay	VERB
ejpam-6274	48	11	constant	constant	ADJ
ejpam-6274	48	12	)	)	PUNCT
ejpam-6274	48	13	c∞	c∞	PROPN
ejpam-6274	48	14	>	>	X
ejpam-6274	48	15	0	0	NUM
ejpam-6274	48	16	,	,	PUNCT
ejpam-6274	48	17	q	q	ADJ
ejpam-6274	48	18	(	(	PUNCT
ejpam-6274	48	19	·	·	PUNCT
ejpam-6274	48	20	)	)	PUNCT
ejpam-6274	48	21	satisfiy	satisfiy	NOUN
ejpam-6274	48	22	the	the	DET
ejpam-6274	48	23	decay	decay	NOUN
ejpam-6274	48	24	condition	condition	NOUN
ejpam-6274	48	25	if	if	SCONJ
ejpam-6274	48	26	lim	lim	PROPN
ejpam-6274	48	27	|x|→∞	|x|→∞	NOUN
ejpam-6274	48	28	q(x	q(x	PROPN
ejpam-6274	48	29	)	)	PUNCT
ejpam-6274	49	1	=	=	PUNCT
ejpam-6274	49	2	q∞	q∞	ADJ
ejpam-6274	49	3	:	:	PUNCT
ejpam-6274	49	4	=	=	SYM
ejpam-6274	49	5	q(∞	q(∞	NOUN
ejpam-6274	49	6	)	)	PUNCT
ejpam-6274	49	7	such	such	ADJ
ejpam-6274	49	8	that	that	SCONJ
ejpam-6274	49	9	c∞	c∞	PROPN
ejpam-6274	49	10	ln(e+	ln(e+	PROPN
ejpam-6274	49	11	|h|	|h|	PROPN
ejpam-6274	49	12	)	)	PUNCT
ejpam-6274	49	13	≥	≥	NOUN
ejpam-6274	49	14	|q(h)−	|q(h)−	NOUN
ejpam-6274	49	15	q∞|	q∞|	NOUN
ejpam-6274	49	16	.	.	PUNCT
ejpam-6274	50	1	(	(	PUNCT
ejpam-6274	50	2	2.3	2.3	NUM
ejpam-6274	50	3	)	)	PUNCT
ejpam-6274	50	4	let	let	VERB
ejpam-6274	50	5	c0	c0	PROPN
ejpam-6274	50	6	>	>	X
ejpam-6274	50	7	0	0	PROPN
ejpam-6274	50	8	,	,	PUNCT
ejpam-6274	50	9	q	q	ADJ
ejpam-6274	50	10	(	(	PUNCT
ejpam-6274	50	11	·	·	PUNCT
ejpam-6274	50	12	)	)	PUNCT
ejpam-6274	50	13	satisfy	satisfy	VERB
ejpam-6274	50	14	the	the	DET
ejpam-6274	50	15	log	log	NOUN
ejpam-6274	50	16	hölder	hölder	NOUN
ejpam-6274	50	17	continuity	continuity	NOUN
ejpam-6274	50	18	condition	condition	NOUN
ejpam-6274	50	19	at	at	ADP
ejpam-6274	50	20	0	0	NUM
ejpam-6274	50	21	for	for	ADP
ejpam-6274	50	22	|h|	|h|	PROPN
ejpam-6274	50	23	≤	≤	PROPN
ejpam-6274	50	24	1	1	NUM
ejpam-6274	50	25	2	2	NUM
ejpam-6274	50	26	,	,	PUNCT
ejpam-6274	50	27	such	such	ADJ
ejpam-6274	50	28	that	that	SCONJ
ejpam-6274	50	29	c0	c0	PROPN
ejpam-6274	50	30	ln	ln	PROPN
ejpam-6274	50	31	|h|	|h|	PROPN
ejpam-6274	50	32	≥	≥	NOUN
ejpam-6274	50	33	|q(h)−	|q(h)−	PROPN
ejpam-6274	50	34	q(0)|	q(0)|	NOUN
ejpam-6274	50	35	.	.	PUNCT
ejpam-6274	51	1	(	(	PUNCT
ejpam-6274	51	2	2.4	2.4	NUM
ejpam-6274	51	3	)	)	PUNCT
ejpam-6274	51	4	p	p	NOUN
ejpam-6274	51	5	log	log	NOUN
ejpam-6274	51	6	=	=	PUNCT
ejpam-6274	51	7	p	p	X
ejpam-6274	51	8	log(a	log(a	PROPN
ejpam-6274	51	9	)	)	PUNCT
ejpam-6274	51	10	consists	consist	VERB
ejpam-6274	51	11	of	of	ADP
ejpam-6274	51	12	all	all	DET
ejpam-6274	51	13	functions	function	NOUN
ejpam-6274	51	14	q	q	ADJ
ejpam-6274	51	15	(	(	PUNCT
ejpam-6274	51	16	·	·	PUNCT
ejpam-6274	51	17	)	)	PUNCT
ejpam-6274	51	18	∈	∈	PROPN
ejpam-6274	51	19	p(a	p(a	NOUN
ejpam-6274	51	20	)	)	PUNCT
ejpam-6274	51	21	satisfying	satisfying	NOUN
ejpam-6274	51	22	(	(	PUNCT
ejpam-6274	51	23	2.1	2.1	NUM
ejpam-6274	51	24	)	)	PUNCT
ejpam-6274	51	25	and	and	CCONJ
ejpam-6274	51	26	(	(	PUNCT
ejpam-6274	51	27	2.2	2.2	NUM
ejpam-6274	51	28	)	)	PUNCT
ejpam-6274	51	29	.	.	PUNCT
ejpam-6274	52	1	p∞(a	p∞(a	PROPN
ejpam-6274	52	2	)	)	PUNCT
ejpam-6274	52	3	(	(	PUNCT
ejpam-6274	52	4	resp	resp	NOUN
ejpam-6274	52	5	.	.	PUNCT
ejpam-6274	53	1	p0,∞(a	p0,∞(a	ADJ
ejpam-6274	53	2	)	)	PUNCT
ejpam-6274	53	3	)	)	PUNCT
ejpam-6274	54	1	is	be	AUX
ejpam-6274	54	2	the	the	DET
ejpam-6274	54	3	subset	subset	NOUN
ejpam-6274	54	4	of	of	ADP
ejpam-6274	54	5	p(a	p(a	PROPN
ejpam-6274	54	6	)	)	PUNCT
ejpam-6274	54	7	consisting	consist	VERB
ejpam-6274	54	8	of	of	ADP
ejpam-6274	54	9	functions	function	NOUN
ejpam-6274	54	10	which	which	PRON
ejpam-6274	54	11	satisfy	satisfy	VERB
ejpam-6274	54	12	condition	condition	NOUN
ejpam-6274	54	13	(	(	PUNCT
ejpam-6274	54	14	2.3	2.3	NUM
ejpam-6274	54	15	)	)	PUNCT
ejpam-6274	54	16	(	(	PUNCT
ejpam-6274	54	17	resp	resp	NOUN
ejpam-6274	54	18	.	.	PUNCT
ejpam-6274	55	1	both	both	DET
ejpam-6274	55	2	conditions	condition	NOUN
ejpam-6274	55	3	(	(	PUNCT
ejpam-6274	55	4	2.3	2.3	NUM
ejpam-6274	55	5	)	)	PUNCT
ejpam-6274	55	6	and	and	CCONJ
ejpam-6274	55	7	(	(	PUNCT
ejpam-6274	55	8	2.4	2.4	NUM
ejpam-6274	55	9	)	)	PUNCT
ejpam-6274	55	10	)	)	PUNCT
ejpam-6274	55	11	.	.	PUNCT
ejpam-6274	56	1	the	the	DET
ejpam-6274	56	2	set	set	NOUN
ejpam-6274	56	3	of	of	ADP
ejpam-6274	56	4	positive	positive	ADJ
ejpam-6274	56	5	integers	integer	NOUN
ejpam-6274	56	6	is	be	AUX
ejpam-6274	56	7	denoted	denote	VERB
ejpam-6274	56	8	by	by	ADP
ejpam-6274	56	9	z+	z+	NOUN
ejpam-6274	56	10	.	.	PROPN
ejpam-6274	56	11	for	for	ADP
ejpam-6274	56	12	each	each	DET
ejpam-6274	56	13	t0	t0	PROPN
ejpam-6274	56	14	∈	∈	PROPN
ejpam-6274	56	15	z,1at0	z,1at0	PROPN
ejpam-6274	56	16	=	=	SYM
ejpam-6274	56	17	1t0	1t0	NUM
ejpam-6274	56	18	;	;	PUNCT
ejpam-6274	56	19	for	for	ADP
ejpam-6274	56	20	t0	t0	PROPN
ejpam-6274	56	21	∈	∈	PROPN
ejpam-6274	56	22	z+	z+	X
ejpam-6274	56	23	,	,	PUNCT
ejpam-6274	56	24	1b0	1b0	NUM
ejpam-6274	56	25	=	=	SYM
ejpam-6274	56	26	1̃0	1̃0	NUM
ejpam-6274	56	27	;	;	PUNCT
ejpam-6274	56	28	and	and	CCONJ
ejpam-6274	56	29	so	so	ADV
ejpam-6274	56	30	on	on	ADV
ejpam-6274	56	31	.	.	PUNCT
ejpam-6274	56	32	1at0	1at0	NUM
ejpam-6274	56	33	denote	denote	VERB
ejpam-6274	56	34	the	the	DET
ejpam-6274	56	35	characteristic	characteristic	ADJ
ejpam-6274	56	36	function	function	NOUN
ejpam-6274	56	37	of	of	ADP
ejpam-6274	56	38	at0	at0	PROPN
ejpam-6274	56	39	.	.	PUNCT
ejpam-6274	57	1	by	by	ADP
ejpam-6274	57	2	a	a	DET
ejpam-6274	57	3	⩽	⩽	PROPN
ejpam-6274	57	4	b	b	PROPN
ejpam-6274	57	5	we	we	PRON
ejpam-6274	57	6	denote	denote	VERB
ejpam-6274	57	7	a	a	DET
ejpam-6274	57	8	≤	≤	NUM
ejpam-6274	57	9	cb	cb	NOUN
ejpam-6274	57	10	.	.	PUNCT
ejpam-6274	58	1	moreover	moreover	ADV
ejpam-6274	58	2	,	,	PUNCT
ejpam-6274	58	3	we	we	PRON
ejpam-6274	58	4	define	define	VERB
ejpam-6274	58	5	p0	p0	NOUN
ejpam-6274	58	6	(	(	PUNCT
ejpam-6274	58	7	rn	rn	NOUN
ejpam-6274	58	8	)	)	PUNCT
ejpam-6274	58	9	to	to	PART
ejpam-6274	58	10	be	be	AUX
ejpam-6274	58	11	the	the	DET
ejpam-6274	58	12	set	set	NOUN
ejpam-6274	58	13	of	of	ADP
ejpam-6274	58	14	measurable	measurable	ADJ
ejpam-6274	58	15	functions	function	NOUN
ejpam-6274	58	16	p	p	X
ejpam-6274	58	17	on	on	ADP
ejpam-6274	58	18	rn	rn	PROPN
ejpam-6274	58	19	with	with	ADP
ejpam-6274	58	20	the	the	DET
ejpam-6274	58	21	range	range	NOUN
ejpam-6274	58	22	in	in	ADP
ejpam-6274	58	23	(	(	PUNCT
ejpam-6274	58	24	0,∞	0,∞	NOUN
ejpam-6274	58	25	)	)	PUNCT
ejpam-6274	58	26	such	such	ADJ
ejpam-6274	58	27	that	that	SCONJ
ejpam-6274	58	28	p−	p−	NOUN
ejpam-6274	58	29	>	>	X
ejpam-6274	58	30	0	0	PUNCT
ejpam-6274	59	1	and	and	CCONJ
ejpam-6274	59	2	p+	p+	X
ejpam-6274	59	3	<	<	X
ejpam-6274	59	4	∞.	∞.	PROPN
ejpam-6274	59	5	given	give	VERB
ejpam-6274	59	6	p	p	PRON
ejpam-6274	60	1	(	(	PUNCT
ejpam-6274	60	2	·	·	PUNCT
ejpam-6274	60	3	)	)	PUNCT
ejpam-6274	60	4	∈	∈	PROPN
ejpam-6274	60	5	p0	p0	NOUN
ejpam-6274	60	6	(	(	PUNCT
ejpam-6274	60	7	rn	rn	NOUN
ejpam-6274	60	8	)	)	PUNCT
ejpam-6274	60	9	,	,	PUNCT
ejpam-6274	60	10	one	one	PRON
ejpam-6274	60	11	can	can	AUX
ejpam-6274	60	12	define	define	VERB
ejpam-6274	60	13	the	the	DET
ejpam-6274	60	14	space	space	NOUN
ejpam-6274	60	15	lp	lp	NOUN
ejpam-6274	60	16	(	(	PUNCT
ejpam-6274	60	17	·	·	PUNCT
ejpam-6274	60	18	)	)	PUNCT
ejpam-6274	60	19	(	(	PUNCT
ejpam-6274	60	20	rn	rn	NOUN
ejpam-6274	60	21	)	)	PUNCT
ejpam-6274	60	22	.	.	PUNCT
ejpam-6274	61	1	this	this	PRON
ejpam-6274	61	2	is	be	AUX
ejpam-6274	61	3	equivalent	equivalent	ADJ
ejpam-6274	61	4	to	to	ADP
ejpam-6274	61	5	defining	define	VERB
ejpam-6274	61	6	it	it	PRON
ejpam-6274	61	7	to	to	PART
ejpam-6274	61	8	be	be	AUX
ejpam-6274	61	9	the	the	DET
ejpam-6274	61	10	set	set	NOUN
ejpam-6274	61	11	of	of	ADP
ejpam-6274	61	12	all	all	DET
ejpam-6274	61	13	functions	function	NOUN
ejpam-6274	61	14	g	g	ADP
ejpam-6274	61	15	such	such	ADJ
ejpam-6274	61	16	that	that	SCONJ
ejpam-6274	61	17	|g|p0	|g|p0	ADJ
ejpam-6274	61	18	∈	∈	PROPN
ejpam-6274	61	19	lp(·)/p0	lp(·)/p0	NOUN
ejpam-6274	61	20	(	(	PUNCT
ejpam-6274	61	21	rn	rn	NOUN
ejpam-6274	61	22	)	)	PUNCT
ejpam-6274	61	23	where	where	SCONJ
ejpam-6274	61	24	0	0	NUM
ejpam-6274	61	25	<	<	X
ejpam-6274	61	26	p0	p0	NOUN
ejpam-6274	61	27	<	<	X
ejpam-6274	61	28	p−	p−	PROPN
ejpam-6274	61	29	,	,	PUNCT
ejpam-6274	61	30	p	p	X
ejpam-6274	61	31	(	(	PUNCT
ejpam-6274	61	32	·	·	PUNCT
ejpam-6274	61	33	)	)	PUNCT
ejpam-6274	61	34	p0	p0	NOUN
ejpam-6274	61	35	∈	∈	PROPN
ejpam-6274	61	36	p	p	X
ejpam-6274	61	37	(	(	PUNCT
ejpam-6274	61	38	rn	rn	NOUN
ejpam-6274	61	39	)	)	PUNCT
ejpam-6274	61	40	.	.	PUNCT
ejpam-6274	62	1	then	then	ADV
ejpam-6274	62	2	the	the	DET
ejpam-6274	62	3	quasi	quasi	NOUN
ejpam-6274	62	4	-	-	ADJ
ejpam-6274	62	5	norm	norm	NOUN
ejpam-6274	62	6	is	be	AUX
ejpam-6274	62	7	given	give	VERB
ejpam-6274	62	8	as	as	ADP
ejpam-6274	62	9	∥g∥lp(·)(rn	∥g∥lp(·)(rn	NUM
ejpam-6274	62	10	)	)	PUNCT
ejpam-6274	62	11	=	=	PUNCT
ejpam-6274	63	1	∥|g|p0∥1	∥|g|p0∥1	PROPN
ejpam-6274	63	2	/	/	SYM
ejpam-6274	63	3	p0	p0	NOUN
ejpam-6274	63	4	lp(·)/p0	lp(·)/p0	PROPN
ejpam-6274	63	5	(	(	PUNCT
ejpam-6274	63	6	rn	rn	NOUN
ejpam-6274	63	7	)	)	PUNCT
ejpam-6274	63	8	.	.	PUNCT
ejpam-6274	64	1	m.	m.	PROPN
ejpam-6274	64	2	sultan	sultan	PROPN
ejpam-6274	64	3	,	,	PUNCT
ejpam-6274	64	4	b.	b.	PROPN
ejpam-6274	64	5	sultan	sultan	PROPN
ejpam-6274	64	6	,	,	PUNCT
ejpam-6274	64	7	i	i	PROPN
ejpam-6274	64	8	-	-	PUNCT
ejpam-6274	64	9	l.	l.	PROPN
ejpam-6274	64	10	popa	popa	PROPN
ejpam-6274	64	11	/	/	SYM
ejpam-6274	64	12	eur	eur	PROPN
ejpam-6274	64	13	.	.	PUNCT
ejpam-6274	65	1	j.	j.	PROPN
ejpam-6274	65	2	pure	pure	PROPN
ejpam-6274	65	3	appl	appl	PROPN
ejpam-6274	65	4	.	.	PROPN
ejpam-6274	65	5	math	math	PROPN
ejpam-6274	65	6	,	,	PUNCT
ejpam-6274	65	7	18	18	NUM
ejpam-6274	65	8	(	(	PUNCT
ejpam-6274	65	9	3	3	NUM
ejpam-6274	65	10	)	)	PUNCT
ejpam-6274	65	11	(	(	PUNCT
ejpam-6274	65	12	2025	2025	NUM
ejpam-6274	65	13	)	)	PUNCT
ejpam-6274	65	14	,	,	PUNCT
ejpam-6274	65	15	6274	6274	NUM
ejpam-6274	65	16	4	4	NUM
ejpam-6274	65	17	of	of	ADP
ejpam-6274	65	18	33	33	NUM
ejpam-6274	65	19	lemma	lemma	PROPN
ejpam-6274	65	20	1	1	NUM
ejpam-6274	65	21	.	.	PUNCT
ejpam-6274	66	1	[	[	X
ejpam-6274	66	2	55	55	NUM
ejpam-6274	66	3	]	]	PUNCT
ejpam-6274	66	4	let	let	VERB
ejpam-6274	66	5	f	f	PRON
ejpam-6274	66	6	belong	belong	VERB
ejpam-6274	66	7	to	to	ADP
ejpam-6274	66	8	the	the	DET
ejpam-6274	66	9	lebesgue	lebesgue	ADJ
ejpam-6274	66	10	space	space	NOUN
ejpam-6274	66	11	lp(·)(rn	lp(·)(rn	PROPN
ejpam-6274	66	12	)	)	PUNCT
ejpam-6274	66	13	and	and	CCONJ
ejpam-6274	66	14	g	g	NOUN
ejpam-6274	66	15	belong	belong	VERB
ejpam-6274	66	16	to	to	ADP
ejpam-6274	66	17	lp′(·)(rn	lp′(·)(rn	NOUN
ejpam-6274	66	18	)	)	PUNCT
ejpam-6274	66	19	,	,	PUNCT
ejpam-6274	66	20	where	where	SCONJ
ejpam-6274	66	21	p	p	X
ejpam-6274	66	22	(	(	PUNCT
ejpam-6274	66	23	·	·	PUNCT
ejpam-6274	66	24	)	)	PUNCT
ejpam-6274	66	25	∈	∈	PROPN
ejpam-6274	66	26	p(rn	p(rn	PROPN
ejpam-6274	66	27	)	)	PUNCT
ejpam-6274	66	28	.	.	PUNCT
ejpam-6274	67	1	then	then	ADV
ejpam-6274	67	2	,	,	PUNCT
ejpam-6274	67	3	the	the	DET
ejpam-6274	67	4	product	product	NOUN
ejpam-6274	67	5	function	function	VERB
ejpam-6274	67	6	fg	fg	PROPN
ejpam-6274	67	7	is	be	AUX
ejpam-6274	67	8	integrable	integrable	ADJ
ejpam-6274	67	9	over	over	ADP
ejpam-6274	67	10	rn	rn	PROPN
ejpam-6274	67	11	,	,	PUNCT
ejpam-6274	67	12	and	and	CCONJ
ejpam-6274	67	13	the	the	DET
ejpam-6274	67	14	following	follow	VERB
ejpam-6274	67	15	inequality	inequality	NOUN
ejpam-6274	67	16	holds	hold	VERB
ejpam-6274	67	17	:	:	PUNCT
ejpam-6274	67	18	∫	∫	PROPN
ejpam-6274	67	19	rn	rn	PROPN
ejpam-6274	67	20	∣∣f(x)g(x)∣∣	∣∣f(x)g(x)∣∣	PROPN
ejpam-6274	67	21	dx	dx	VERB
ejpam-6274	68	1	≤	≤	PROPN
ejpam-6274	68	2	rp∥f∥p(·)∥g∥p′	rp∥f∥p(·)∥g∥p′	PROPN
ejpam-6274	68	3	(	(	PUNCT
ejpam-6274	68	4	·	·	PUNCT
ejpam-6274	68	5	)	)	PUNCT
ejpam-6274	68	6	,	,	PUNCT
ejpam-6274	68	7	where	where	SCONJ
ejpam-6274	68	8	rp	rp	NOUN
ejpam-6274	68	9	is	be	AUX
ejpam-6274	68	10	defined	define	VERB
ejpam-6274	68	11	as	as	ADP
ejpam-6274	68	12	rp	rp	NOUN
ejpam-6274	68	13	=	=	NOUN
ejpam-6274	68	14	1	1	NUM
ejpam-6274	68	15	+	+	NUM
ejpam-6274	68	16	1	1	NUM
ejpam-6274	68	17	p−	p−	NOUN
ejpam-6274	68	18	−	−	PROPN
ejpam-6274	68	19	1	1	NUM
ejpam-6274	68	20	p+	p+	NOUN
ejpam-6274	68	21	.	.	PUNCT
ejpam-6274	69	1	lemma	lemma	PROPN
ejpam-6274	69	2	2	2	NUM
ejpam-6274	69	3	.	.	PUNCT
ejpam-6274	70	1	[	[	X
ejpam-6274	70	2	56	56	NUM
ejpam-6274	70	3	]	]	PUNCT
ejpam-6274	70	4	let	let	VERB
ejpam-6274	70	5	q̃	q̃	PROPN
ejpam-6274	70	6	(	(	PUNCT
ejpam-6274	70	7	·	·	PUNCT
ejpam-6274	70	8	)	)	PUNCT
ejpam-6274	70	9	be	be	AUX
ejpam-6274	70	10	a	a	DET
ejpam-6274	70	11	variable	variable	ADJ
ejpam-6274	70	12	exponent	exponent	NOUN
ejpam-6274	70	13	defined	define	VERB
ejpam-6274	70	14	as	as	ADP
ejpam-6274	70	15	1	1	NUM
ejpam-6274	70	16	p(z	p(z	NOUN
ejpam-6274	70	17	)	)	PUNCT
ejpam-6274	71	1	−	−	PROPN
ejpam-6274	72	1	1	1	NUM
ejpam-6274	72	2	q	q	NOUN
ejpam-6274	72	3	=	=	SYM
ejpam-6274	72	4	1	1	NUM
ejpam-6274	72	5	q̃(z	q̃(z	NOUN
ejpam-6274	72	6	)	)	PUNCT
ejpam-6274	73	1	where	where	SCONJ
ejpam-6274	73	2	(	(	PUNCT
ejpam-6274	73	3	z	z	NOUN
ejpam-6274	73	4	∈	∈	PROPN
ejpam-6274	73	5	rn	rn	PROPN
ejpam-6274	73	6	)	)	PUNCT
ejpam-6274	73	7	.	.	PUNCT
ejpam-6274	74	1	then	then	ADV
ejpam-6274	74	2	for	for	ADP
ejpam-6274	74	3	all	all	DET
ejpam-6274	74	4	measurable	measurable	ADJ
ejpam-6274	74	5	functions	function	NOUN
ejpam-6274	74	6	f	f	PROPN
ejpam-6274	74	7	and	and	CCONJ
ejpam-6274	74	8	g	g	PROPN
ejpam-6274	74	9	we	we	PRON
ejpam-6274	74	10	have	have	VERB
ejpam-6274	74	11	∥fg∥p	∥fg∥p	PROPN
ejpam-6274	74	12	(	(	PUNCT
ejpam-6274	74	13	·	·	PUNCT
ejpam-6274	74	14	)	)	PUNCT
ejpam-6274	74	15	≤	≤	NUM
ejpam-6274	75	1	c	c	X
ejpam-6274	75	2	∥g∥q̄	∥g∥q̄	X
ejpam-6274	75	3	(	(	PUNCT
ejpam-6274	75	4	·	·	PUNCT
ejpam-6274	75	5	)	)	PUNCT
ejpam-6274	75	6	∥g∥q	∥g∥q	NOUN
ejpam-6274	75	7	.	.	PUNCT
ejpam-6274	76	1	lemma	lemma	PROPN
ejpam-6274	76	2	3	3	X
ejpam-6274	76	3	.	.	PUNCT
ejpam-6274	77	1	[	[	X
ejpam-6274	77	2	57	57	NUM
ejpam-6274	77	3	]	]	PUNCT
ejpam-6274	77	4	let	let	VERB
ejpam-6274	77	5	p	p	X
ejpam-6274	77	6	(	(	PUNCT
ejpam-6274	77	7	·	·	PUNCT
ejpam-6274	77	8	)	)	PUNCT
ejpam-6274	77	9	be	be	AUX
ejpam-6274	77	10	a	a	DET
ejpam-6274	77	11	function	function	NOUN
ejpam-6274	77	12	within	within	ADP
ejpam-6274	77	13	the	the	DET
ejpam-6274	77	14	class	class	NOUN
ejpam-6274	77	15	b(rn	b(rn	NOUN
ejpam-6274	77	16	)	)	PUNCT
ejpam-6274	77	17	.	.	PUNCT
ejpam-6274	78	1	for	for	ADP
ejpam-6274	78	2	any	any	DET
ejpam-6274	78	3	ball	ball	NOUN
ejpam-6274	78	4	b	b	PROPN
ejpam-6274	78	5	in	in	ADP
ejpam-6274	78	6	rn	rn	PROPN
ejpam-6274	78	7	,	,	PUNCT
ejpam-6274	78	8	we	we	PRON
ejpam-6274	78	9	get	get	VERB
ejpam-6274	78	10	1	1	NUM
ejpam-6274	78	11	|b|	|b|	PROPN
ejpam-6274	78	12	∥1b∥p′(·)∥1b∥p	∥1b∥p′(·)∥1b∥p	PROPN
ejpam-6274	78	13	(	(	PUNCT
ejpam-6274	78	14	·	·	PUNCT
ejpam-6274	78	15	)	)	PUNCT
ejpam-6274	78	16	⩽	⩽	NOUN
ejpam-6274	79	1	c	c	X
ejpam-6274	79	2	,	,	PUNCT
ejpam-6274	79	3	where	where	SCONJ
ejpam-6274	79	4	c	c	NOUN
ejpam-6274	79	5	>	>	X
ejpam-6274	79	6	0	0	PUNCT
ejpam-6274	79	7	.	.	PUNCT
ejpam-6274	80	1	lemma	lemma	PROPN
ejpam-6274	80	2	4	4	NUM
ejpam-6274	80	3	.	.	PUNCT
ejpam-6274	81	1	[	[	X
ejpam-6274	81	2	57	57	NUM
ejpam-6274	81	3	]	]	PUNCT
ejpam-6274	81	4	assuming	assume	VERB
ejpam-6274	81	5	that	that	SCONJ
ejpam-6274	81	6	p	p	X
ejpam-6274	81	7	(	(	PUNCT
ejpam-6274	81	8	·	·	PUNCT
ejpam-6274	81	9	)	)	PUNCT
ejpam-6274	81	10	is	be	AUX
ejpam-6274	81	11	a	a	DET
ejpam-6274	81	12	function	function	NOUN
ejpam-6274	81	13	in	in	ADP
ejpam-6274	81	14	the	the	DET
ejpam-6274	81	15	class	class	NOUN
ejpam-6274	81	16	b(rn	b(rn	NOUN
ejpam-6274	81	17	)	)	PUNCT
ejpam-6274	81	18	,	,	PUNCT
ejpam-6274	81	19	there	there	PRON
ejpam-6274	81	20	exists	exist	VERB
ejpam-6274	81	21	a	a	DET
ejpam-6274	81	22	positive	positive	ADJ
ejpam-6274	81	23	constant	constant	ADJ
ejpam-6274	81	24	c	c	NOUN
ejpam-6274	81	25	such	such	ADJ
ejpam-6274	81	26	that	that	PRON
ejpam-6274	81	27	,	,	PUNCT
ejpam-6274	81	28	for	for	ADP
ejpam-6274	81	29	every	every	DET
ejpam-6274	81	30	ball	ball	NOUN
ejpam-6274	81	31	b	b	PROPN
ejpam-6274	81	32	in	in	ADP
ejpam-6274	81	33	rn	rn	PROPN
ejpam-6274	81	34	and	and	CCONJ
ejpam-6274	81	35	every	every	DET
ejpam-6274	81	36	measurable	measurable	ADJ
ejpam-6274	81	37	subset	subset	NOUN
ejpam-6274	81	38	s	s	VERB
ejpam-6274	81	39	within	within	ADP
ejpam-6274	81	40	b	b	NOUN
ejpam-6274	81	41	,	,	PUNCT
ejpam-6274	81	42	the	the	DET
ejpam-6274	81	43	following	follow	VERB
ejpam-6274	81	44	inequalities	inequality	NOUN
ejpam-6274	81	45	hold	hold	VERB
ejpam-6274	81	46	:	:	PUNCT
ejpam-6274	81	47	∥1b∥p	∥1b∥p	NOUN
ejpam-6274	81	48	(	(	PUNCT
ejpam-6274	81	49	·	·	PUNCT
ejpam-6274	81	50	)	)	PUNCT
ejpam-6274	81	51	∥1s∥p	∥1s∥p	PROPN
ejpam-6274	81	52	(	(	PUNCT
ejpam-6274	81	53	·	·	PUNCT
ejpam-6274	81	54	)	)	PUNCT
ejpam-6274	81	55	⩽	⩽	NOUN
ejpam-6274	81	56	|b|	|b|	PROPN
ejpam-6274	81	57	|s|	|s|	PROPN
ejpam-6274	81	58	,	,	PUNCT
ejpam-6274	81	59	∥1s∥p	∥1s∥p	PROPN
ejpam-6274	81	60	(	(	PUNCT
ejpam-6274	81	61	·	·	PUNCT
ejpam-6274	81	62	)	)	PUNCT
ejpam-6274	81	63	∥1b∥p	∥1b∥p	NOUN
ejpam-6274	81	64	(	(	PUNCT
ejpam-6274	81	65	·	·	PUNCT
ejpam-6274	81	66	)	)	PUNCT
ejpam-6274	81	67	⩽	⩽	NOUN
ejpam-6274	81	68	(	(	PUNCT
ejpam-6274	81	69	|s|	|s|	NOUN
ejpam-6274	81	70	|b|	|b|	PROPN
ejpam-6274	81	71	)	)	PUNCT
ejpam-6274	81	72	ω1	ω1	PROPN
ejpam-6274	81	73	,	,	PUNCT
ejpam-6274	81	74	∥1s∥p′	∥1s∥p′	PROPN
ejpam-6274	81	75	(	(	PUNCT
ejpam-6274	81	76	·	·	PUNCT
ejpam-6274	81	77	)	)	PUNCT
ejpam-6274	82	1	∥1b∥p′	∥1b∥p′	PROPN
ejpam-6274	82	2	(	(	PUNCT
ejpam-6274	82	3	·	·	PUNCT
ejpam-6274	82	4	)	)	PUNCT
ejpam-6274	82	5	⩽	⩽	NOUN
ejpam-6274	82	6	(	(	PUNCT
ejpam-6274	82	7	|s|	|s|	NOUN
ejpam-6274	82	8	|b|	|b|	PROPN
ejpam-6274	82	9	)	)	PUNCT
ejpam-6274	82	10	ω2	ω2	ADV
ejpam-6274	82	11	,	,	PUNCT
ejpam-6274	82	12	here	here	ADV
ejpam-6274	82	13	0	0	PUNCT
ejpam-6274	82	14	<	<	X
ejpam-6274	82	15	ω1	ω1	PROPN
ejpam-6274	82	16	,	,	PUNCT
ejpam-6274	82	17	ω2	ω2	ADJ
ejpam-6274	82	18	<	<	X
ejpam-6274	82	19	1	1	X
ejpam-6274	82	20	.	.	PUNCT
ejpam-6274	82	21	lemma	lemma	PROPN
ejpam-6274	82	22	5	5	NUM
ejpam-6274	82	23	.	.	PUNCT
ejpam-6274	83	1	[	[	X
ejpam-6274	83	2	1	1	X
ejpam-6274	83	3	]	]	X
ejpam-6274	83	4	let	let	VERB
ejpam-6274	83	5	{	{	PUNCT
ejpam-6274	83	6	gj}∞j=1	gj}∞j=1	X
ejpam-6274	83	7	be	be	AUX
ejpam-6274	83	8	the	the	DET
ejpam-6274	83	9	sequences	sequence	NOUN
ejpam-6274	83	10	of	of	ADP
ejpam-6274	83	11	locally	locally	ADV
ejpam-6274	83	12	integrable	integrable	ADJ
ejpam-6274	83	13	functions	function	NOUN
ejpam-6274	83	14	,	,	PUNCT
ejpam-6274	83	15	1	1	NUM
ejpam-6274	83	16	<	<	X
ejpam-6274	83	17	r	r	NOUN
ejpam-6274	83	18	<	<	X
ejpam-6274	83	19	∞	∞	PROPN
ejpam-6274	83	20	and	and	CCONJ
ejpam-6274	83	21	p	p	X
ejpam-6274	83	22	(	(	PUNCT
ejpam-6274	83	23	·	·	PUNCT
ejpam-6274	83	24	)	)	PUNCT
ejpam-6274	83	25	∈	∈	PROPN
ejpam-6274	83	26	b	b	PROPN
ejpam-6274	83	27	(	(	PUNCT
ejpam-6274	83	28	rn	rn	NOUN
ejpam-6274	83	29	)	)	PUNCT
ejpam-6274	83	30	.	.	PUNCT
ejpam-6274	84	1	then	then	ADV
ejpam-6274	84	2	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	84	3			PROPN
ejpam-6274	84	4	∞∑	∞∑	PROPN
ejpam-6274	84	5	j=1	j=1	PROPN
ejpam-6274	84	6	|mgj	|mgj	PROPN
ejpam-6274	84	7	|r	|r	PROPN
ejpam-6274	84	8	1	1	NOUN
ejpam-6274	84	9	/	/	SYM
ejpam-6274	84	10	r	r	NOUN
ejpam-6274	84	11	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	84	12	p	p	X
ejpam-6274	84	13	(	(	PUNCT
ejpam-6274	84	14	·	·	PUNCT
ejpam-6274	84	15	)	)	PUNCT
ejpam-6274	84	16	⩽	⩽	NOUN
ejpam-6274	84	17	c	c	X
ejpam-6274	84	18	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	85	1			PROPN
ejpam-6274	85	2	∞∑	∞∑	NUM
ejpam-6274	85	3	j=1	j=1	NOUN
ejpam-6274	85	4	|gj	|gj	ADP
ejpam-6274	85	5	|r	|r	PROPN
ejpam-6274	85	6	1	1	NOUN
ejpam-6274	85	7	/	/	SYM
ejpam-6274	85	8	r	r	NOUN
ejpam-6274	85	9	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	85	10	p	p	X
ejpam-6274	85	11	(	(	PUNCT
ejpam-6274	85	12	·	·	PUNCT
ejpam-6274	85	13	)	)	PUNCT
ejpam-6274	85	14	.	.	PUNCT
ejpam-6274	86	1	definition	definition	NOUN
ejpam-6274	86	2	6	6	NUM
ejpam-6274	86	3	.	.	PUNCT
ejpam-6274	87	1	let	let	VERB
ejpam-6274	87	2	0	0	NUM
ejpam-6274	87	3	<	<	X
ejpam-6274	87	4	q	q	X
ejpam-6274	87	5	<	<	X
ejpam-6274	87	6	∞	∞	PROPN
ejpam-6274	87	7	,	,	PUNCT
ejpam-6274	87	8	p	p	X
ejpam-6274	87	9	(	(	PUNCT
ejpam-6274	87	10	·	·	PUNCT
ejpam-6274	87	11	)	)	PUNCT
ejpam-6274	87	12	∈	∈	PROPN
ejpam-6274	88	1	p	p	X
ejpam-6274	88	2	(	(	PUNCT
ejpam-6274	88	3	rn	rn	NOUN
ejpam-6274	88	4	)	)	PUNCT
ejpam-6274	88	5	,	,	PUNCT
ejpam-6274	88	6	0	0	NUM
ejpam-6274	88	7	≤	≤	NUM
ejpam-6274	89	1	λ	λ	X
ejpam-6274	89	2	<	<	X
ejpam-6274	89	3	∞	∞	PROPN
ejpam-6274	89	4	,	,	PUNCT
ejpam-6274	89	5	θ	θ	PROPN
ejpam-6274	89	6	>	>	X
ejpam-6274	89	7	0	0	NUM
ejpam-6274	89	8	and	and	CCONJ
ejpam-6274	89	9	η	η	PROPN
ejpam-6274	89	10	(	(	PUNCT
ejpam-6274	89	11	·	·	PUNCT
ejpam-6274	89	12	)	)	PUNCT
ejpam-6274	89	13	:	:	PUNCT
ejpam-6274	89	14	rn	rn	PROPN
ejpam-6274	89	15	→	→	SYM
ejpam-6274	89	16	r	r	NOUN
ejpam-6274	89	17	with	with	ADP
ejpam-6274	89	18	η	η	PROPN
ejpam-6274	89	19	∈	∈	PROPN
ejpam-6274	89	20	l∞	l∞	PROPN
ejpam-6274	89	21	(	(	PUNCT
ejpam-6274	89	22	rn	rn	NOUN
ejpam-6274	89	23	)	)	PUNCT
ejpam-6274	89	24	.	.	PUNCT
ejpam-6274	90	1	(	(	PUNCT
ejpam-6274	90	2	i	i	NOUN
ejpam-6274	90	3	)	)	PUNCT
ejpam-6274	90	4	the	the	DET
ejpam-6274	90	5	homogeneous	homogeneous	ADJ
ejpam-6274	90	6	grand	grand	ADJ
ejpam-6274	90	7	variable	variable	ADJ
ejpam-6274	90	8	herz	herz	ADJ
ejpam-6274	90	9	-	-	PUNCT
ejpam-6274	90	10	morrey	morrey	PROPN
ejpam-6274	90	11	space	space	NOUN
ejpam-6274	90	12	mk̇	mk̇	NOUN
ejpam-6274	90	13	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	90	14	λ	λ	NOUN
ejpam-6274	90	15	,	,	PUNCT
ejpam-6274	90	16	p	p	X
ejpam-6274	90	17	(	(	PUNCT
ejpam-6274	90	18	·	·	PUNCT
ejpam-6274	90	19	)	)	PUNCT
ejpam-6274	90	20	(	(	PUNCT
ejpam-6274	90	21	rn	rn	NOUN
ejpam-6274	90	22	)	)	PUNCT
ejpam-6274	90	23	is	be	AUX
ejpam-6274	90	24	defined	define	VERB
ejpam-6274	90	25	by	by	ADP
ejpam-6274	90	26	mk̇	mk̇	NUM
ejpam-6274	90	27	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	90	28	λ	λ	NOUN
ejpam-6274	90	29	,	,	PUNCT
ejpam-6274	90	30	p	p	X
ejpam-6274	90	31	(	(	PUNCT
ejpam-6274	90	32	·	·	PUNCT
ejpam-6274	90	33	)	)	PUNCT
ejpam-6274	90	34	(	(	PUNCT
ejpam-6274	90	35	rn	rn	NOUN
ejpam-6274	90	36	)	)	PUNCT
ejpam-6274	90	37	:	:	PUNCT
ejpam-6274	91	1	=	=	X
ejpam-6274	91	2	{	{	PUNCT
ejpam-6274	91	3	g	g	PROPN
ejpam-6274	91	4	∈	∈	PROPN
ejpam-6274	91	5	l	l	NOUN
ejpam-6274	91	6	p	p	X
ejpam-6274	91	7	(	(	PUNCT
ejpam-6274	91	8	·	·	PUNCT
ejpam-6274	91	9	)	)	PUNCT
ejpam-6274	91	10	loc	loc	NOUN
ejpam-6274	91	11	(	(	PUNCT
ejpam-6274	91	12	rn\{0	rn\{0	PROPN
ejpam-6274	91	13	}	}	PUNCT
ejpam-6274	91	14	)	)	PUNCT
ejpam-6274	91	15	:	:	PUNCT
ejpam-6274	91	16	∥g∥	∥g∥	X
ejpam-6274	91	17	mk̇	mk̇	NUM
ejpam-6274	91	18	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	91	19	λ	λ	PROPN
ejpam-6274	91	20	,	,	PUNCT
ejpam-6274	91	21	p	p	X
ejpam-6274	91	22	(	(	PUNCT
ejpam-6274	91	23	·	·	PUNCT
ejpam-6274	91	24	)	)	PUNCT
ejpam-6274	91	25	(	(	PUNCT
ejpam-6274	91	26	rn	rn	NOUN
ejpam-6274	91	27	)	)	PUNCT
ejpam-6274	91	28	<	<	X
ejpam-6274	91	29	∞	∞	PROPN
ejpam-6274	91	30	}	}	PUNCT
ejpam-6274	91	31	where	where	SCONJ
ejpam-6274	91	32	m.	m.	NOUN
ejpam-6274	91	33	sultan	sultan	PROPN
ejpam-6274	91	34	,	,	PUNCT
ejpam-6274	91	35	b.	b.	PROPN
ejpam-6274	91	36	sultan	sultan	PROPN
ejpam-6274	91	37	,	,	PUNCT
ejpam-6274	91	38	i	i	PROPN
ejpam-6274	91	39	-	-	PUNCT
ejpam-6274	91	40	l.	l.	PROPN
ejpam-6274	91	41	popa	popa	PROPN
ejpam-6274	91	42	/	/	SYM
ejpam-6274	91	43	eur	eur	PROPN
ejpam-6274	91	44	.	.	PUNCT
ejpam-6274	92	1	j.	j.	PROPN
ejpam-6274	92	2	pure	pure	PROPN
ejpam-6274	92	3	appl	appl	PROPN
ejpam-6274	92	4	.	.	PROPN
ejpam-6274	92	5	math	math	PROPN
ejpam-6274	92	6	,	,	PUNCT
ejpam-6274	92	7	18	18	NUM
ejpam-6274	92	8	(	(	PUNCT
ejpam-6274	92	9	3	3	NUM
ejpam-6274	92	10	)	)	PUNCT
ejpam-6274	92	11	(	(	PUNCT
ejpam-6274	92	12	2025	2025	NUM
ejpam-6274	92	13	)	)	PUNCT
ejpam-6274	92	14	,	,	PUNCT
ejpam-6274	92	15	6274	6274	NUM
ejpam-6274	92	16	5	5	NUM
ejpam-6274	92	17	of	of	ADP
ejpam-6274	92	18	33	33	NUM
ejpam-6274	92	19	∥g∥	∥g∥	NOUN
ejpam-6274	92	20	mk̇	mk̇	NUM
ejpam-6274	92	21	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	92	22	λ	λ	NOUN
ejpam-6274	92	23	,	,	PUNCT
ejpam-6274	92	24	p	p	X
ejpam-6274	92	25	(	(	PUNCT
ejpam-6274	92	26	·	·	PUNCT
ejpam-6274	92	27	)	)	PUNCT
ejpam-6274	92	28	(	(	PUNCT
ejpam-6274	92	29	rn	rn	NOUN
ejpam-6274	92	30	)	)	PUNCT
ejpam-6274	92	31	:	:	PUNCT
ejpam-6274	93	1	=	=	PUNCT
ejpam-6274	93	2	sup	sup	NUM
ejpam-6274	93	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	93	4	sup	sup	NOUN
ejpam-6274	93	5	l∈z	l∈z	NOUN
ejpam-6274	93	6	2−lλ	2−lλ	NUM
ejpam-6274	93	7	(	(	PUNCT
ejpam-6274	93	8	ϵθ	ϵθ	ADP
ejpam-6274	93	9	l∑	l∑	X
ejpam-6274	93	10	k=−∞	k=−∞	PROPN
ejpam-6274	93	11	∥∥∥2kη(·)g1k∥∥∥q(1+ϵ	∥∥∥2kη(·)g1k∥∥∥q(1+ϵ	PROPN
ejpam-6274	93	12	)	)	PUNCT
ejpam-6274	94	1	p	p	X
ejpam-6274	94	2	(	(	PUNCT
ejpam-6274	94	3	·	·	PUNCT
ejpam-6274	94	4	)	)	PUNCT
ejpam-6274	94	5	)	)	PUNCT
ejpam-6274	94	6	1	1	NUM
ejpam-6274	94	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	94	8	)	)	PUNCT
ejpam-6274	94	9	.	.	PUNCT
ejpam-6274	95	1	(	(	PUNCT
ejpam-6274	95	2	ii	ii	X
ejpam-6274	95	3	)	)	PUNCT
ejpam-6274	95	4	the	the	DET
ejpam-6274	95	5	non	non	ADJ
ejpam-6274	95	6	-	-	ADJ
ejpam-6274	95	7	homogeneous	homogeneous	ADJ
ejpam-6274	95	8	grand	grand	ADJ
ejpam-6274	95	9	variable	variable	ADJ
ejpam-6274	95	10	herz	herz	ADJ
ejpam-6274	95	11	-	-	PUNCT
ejpam-6274	95	12	morrey	morrey	PROPN
ejpam-6274	95	13	spacemk	spacemk	PROPN
ejpam-6274	95	14	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	95	15	λ	λ	PROPN
ejpam-6274	95	16	,	,	PUNCT
ejpam-6274	95	17	p	p	X
ejpam-6274	95	18	(	(	PUNCT
ejpam-6274	95	19	·	·	PUNCT
ejpam-6274	95	20	)	)	PUNCT
ejpam-6274	95	21	(	(	PUNCT
ejpam-6274	95	22	rn	rn	NOUN
ejpam-6274	95	23	)	)	PUNCT
ejpam-6274	95	24	is	be	AUX
ejpam-6274	95	25	defined	define	VERB
ejpam-6274	95	26	by	by	ADP
ejpam-6274	95	27	mk	mk	NOUN
ejpam-6274	95	28	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	95	29	λ	λ	PROPN
ejpam-6274	95	30	,	,	PUNCT
ejpam-6274	95	31	p	p	X
ejpam-6274	95	32	(	(	PUNCT
ejpam-6274	95	33	·	·	PUNCT
ejpam-6274	95	34	)	)	PUNCT
ejpam-6274	95	35	(	(	PUNCT
ejpam-6274	95	36	rn	rn	NOUN
ejpam-6274	95	37	)	)	PUNCT
ejpam-6274	95	38	:	:	PUNCT
ejpam-6274	96	1	=	=	X
ejpam-6274	96	2	{	{	PUNCT
ejpam-6274	96	3	g	g	PROPN
ejpam-6274	96	4	∈	∈	PROPN
ejpam-6274	96	5	l	l	NOUN
ejpam-6274	96	6	p	p	X
ejpam-6274	96	7	(	(	PUNCT
ejpam-6274	96	8	·	·	PUNCT
ejpam-6274	96	9	)	)	PUNCT
ejpam-6274	96	10	loc	loc	NOUN
ejpam-6274	96	11	(	(	PUNCT
ejpam-6274	96	12	rn\{0	rn\{0	PROPN
ejpam-6274	96	13	}	}	PUNCT
ejpam-6274	96	14	)	)	PUNCT
ejpam-6274	96	15	:	:	PUNCT
ejpam-6274	96	16	∥g∥	∥g∥	PROPN
ejpam-6274	96	17	mk	mk	PROPN
ejpam-6274	96	18	η(·),q),θ	η(·),q),θ	PROPN
ejpam-6274	96	19	λ	λ	PROPN
ejpam-6274	96	20	,	,	PUNCT
ejpam-6274	96	21	p	p	X
ejpam-6274	96	22	(	(	PUNCT
ejpam-6274	96	23	·	·	PUNCT
ejpam-6274	96	24	)	)	PUNCT
ejpam-6274	96	25	(	(	PUNCT
ejpam-6274	96	26	rn	rn	NOUN
ejpam-6274	96	27	)	)	PUNCT
ejpam-6274	96	28	<	<	X
ejpam-6274	96	29	∞	∞	PROPN
ejpam-6274	96	30	}	}	PUNCT
ejpam-6274	96	31	where	where	SCONJ
ejpam-6274	96	32	∥g∥	∥g∥	PROPN
ejpam-6274	96	33	mk	mk	PROPN
ejpam-6274	96	34	η(·),q),θ	η(·),q),θ	PROPN
ejpam-6274	96	35	λ	λ	PROPN
ejpam-6274	96	36	,	,	PUNCT
ejpam-6274	96	37	p	p	X
ejpam-6274	96	38	(	(	PUNCT
ejpam-6274	96	39	·	·	PUNCT
ejpam-6274	96	40	)	)	PUNCT
ejpam-6274	96	41	(	(	PUNCT
ejpam-6274	96	42	rn	rn	NOUN
ejpam-6274	96	43	)	)	PUNCT
ejpam-6274	96	44	:	:	PUNCT
ejpam-6274	96	45	=	=	PUNCT
ejpam-6274	96	46	sup	sup	NUM
ejpam-6274	96	47	ϵ>0	ϵ>0	NOUN
ejpam-6274	96	48	sup	sup	NOUN
ejpam-6274	96	49	l∈n0	l∈n0	NOUN
ejpam-6274	96	50	2−lλ	2−lλ	NUM
ejpam-6274	96	51	(	(	PUNCT
ejpam-6274	96	52	ϵθ	ϵθ	X
ejpam-6274	96	53	l∑	l∑	X
ejpam-6274	96	54	k=0	k=0	PROPN
ejpam-6274	96	55	∥∥∥2kη(·)g1k∥∥∥q(1+ϵ	∥∥∥2kη(·)g1k∥∥∥q(1+ϵ	PROPN
ejpam-6274	96	56	)	)	PUNCT
ejpam-6274	96	57	p	p	X
ejpam-6274	96	58	(	(	PUNCT
ejpam-6274	96	59	·	·	PUNCT
ejpam-6274	96	60	)	)	PUNCT
ejpam-6274	96	61	)	)	PUNCT
ejpam-6274	96	62	1	1	NUM
ejpam-6274	96	63	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	96	64	)	)	PUNCT
ejpam-6274	96	65	.	.	PUNCT
ejpam-6274	97	1	lemma	lemma	PROPN
ejpam-6274	97	2	7	7	NUM
ejpam-6274	97	3	.	.	PUNCT
ejpam-6274	98	1	[	[	X
ejpam-6274	98	2	17	17	NUM
ejpam-6274	98	3	]	]	PUNCT
ejpam-6274	98	4	let	let	VERB
ejpam-6274	98	5	d	d	PRON
ejpam-6274	98	6	>	>	PUNCT
ejpam-6274	98	7	1	1	NUM
ejpam-6274	98	8	and	and	CCONJ
ejpam-6274	98	9	q	q	PROPN
ejpam-6274	98	10	∈	∈	PROPN
ejpam-6274	98	11	p0,∞(rn	p0,∞(rn	NUM
ejpam-6274	98	12	)	)	PUNCT
ejpam-6274	98	13	.	.	PUNCT
ejpam-6274	99	1	then	then	ADV
ejpam-6274	99	2	1	1	NUM
ejpam-6274	99	3	c0	c0	NOUN
ejpam-6274	99	4	r	r	PROPN
ejpam-6274	99	5	n	n	PROPN
ejpam-6274	99	6	q(0	q(0	PROPN
ejpam-6274	99	7	)	)	PUNCT
ejpam-6274	99	8	≤	≤	PUNCT
ejpam-6274	99	9	∥1b(0,dr)\b(0,r)∥lq	∥1b(0,dr)\b(0,r)∥lq	PROPN
ejpam-6274	99	10	(	(	PUNCT
ejpam-6274	99	11	·	·	PUNCT
ejpam-6274	99	12	)	)	PUNCT
ejpam-6274	99	13	≤	≤	NUM
ejpam-6274	99	14	c0r	c0r	VERB
ejpam-6274	99	15	n	n	PRON
ejpam-6274	99	16	q(0	q(0	PROPN
ejpam-6274	99	17	)	)	PUNCT
ejpam-6274	99	18	,	,	PUNCT
ejpam-6274	99	19	for	for	ADP
ejpam-6274	99	20	0	0	NUM
ejpam-6274	99	21	<	<	X
ejpam-6274	99	22	r	r	NOUN
ejpam-6274	99	23	≤	≤	NUM
ejpam-6274	99	24	1	1	NUM
ejpam-6274	99	25	(	(	PUNCT
ejpam-6274	99	26	2.5	2.5	NUM
ejpam-6274	99	27	)	)	PUNCT
ejpam-6274	99	28	and	and	CCONJ
ejpam-6274	99	29	1	1	NUM
ejpam-6274	99	30	c∞	c∞	NOUN
ejpam-6274	99	31	r	r	NOUN
ejpam-6274	99	32	n	n	CCONJ
ejpam-6274	99	33	q∞	q∞	PROPN
ejpam-6274	99	34	≤	≤	PUNCT
ejpam-6274	99	35	∥1b(0,dr)\b(0,r)∥lq	∥1b(0,dr)\b(0,r)∥lq	PROPN
ejpam-6274	99	36	(	(	PUNCT
ejpam-6274	99	37	·	·	PUNCT
ejpam-6274	99	38	)	)	PUNCT
ejpam-6274	99	39	≤	≤	NUM
ejpam-6274	99	40	c∞r	c∞r	NOUN
ejpam-6274	99	41	n	n	X
ejpam-6274	99	42	q∞	q∞	ADJ
ejpam-6274	99	43	,	,	PUNCT
ejpam-6274	99	44	for	for	ADP
ejpam-6274	99	45	r	r	NOUN
ejpam-6274	99	46	≥	≥	NUM
ejpam-6274	99	47	1	1	NUM
ejpam-6274	99	48	,	,	PUNCT
ejpam-6274	99	49	(	(	PUNCT
ejpam-6274	99	50	2.6	2.6	NUM
ejpam-6274	99	51	)	)	PUNCT
ejpam-6274	99	52	respectively	respectively	ADV
ejpam-6274	99	53	,	,	PUNCT
ejpam-6274	99	54	where	where	SCONJ
ejpam-6274	99	55	c0	c0	PROPN
ejpam-6274	99	56	≥	≥	VERB
ejpam-6274	99	57	1	1	NUM
ejpam-6274	99	58	and	and	CCONJ
ejpam-6274	99	59	c∞	c∞	PROPN
ejpam-6274	99	60	≥	≥	NUM
ejpam-6274	99	61	1	1	NUM
ejpam-6274	99	62	depend	depend	VERB
ejpam-6274	99	63	on	on	ADP
ejpam-6274	99	64	d	d	PROPN
ejpam-6274	99	65	but	but	CCONJ
ejpam-6274	99	66	not	not	PART
ejpam-6274	99	67	depend	depend	VERB
ejpam-6274	99	68	on	on	ADP
ejpam-6274	99	69	r.	r.	PROPN
ejpam-6274	99	70	theorem	theorem	NOUN
ejpam-6274	99	71	8	8	NUM
ejpam-6274	99	72	.	.	PUNCT
ejpam-6274	100	1	if	if	SCONJ
ejpam-6274	100	2	1	1	NUM
ejpam-6274	100	3	<	<	X
ejpam-6274	100	4	r	r	NOUN
ejpam-6274	100	5	<	<	X
ejpam-6274	100	6	∞	∞	PROPN
ejpam-6274	100	7	and	and	CCONJ
ejpam-6274	100	8	η	η	PROPN
ejpam-6274	100	9	(	(	PUNCT
ejpam-6274	100	10	·	·	PUNCT
ejpam-6274	100	11	)	)	PUNCT
ejpam-6274	100	12	∈	∈	PROPN
ejpam-6274	100	13	l∞	l∞	NOUN
ejpam-6274	100	14	(	(	PUNCT
ejpam-6274	100	15	rn)∩	rn)∩	X
ejpam-6274	100	16	p	p	NOUN
ejpam-6274	100	17	log	log	NOUN
ejpam-6274	100	18	0	0	NUM
ejpam-6274	100	19	(	(	PUNCT
ejpam-6274	100	20	rn	rn	NOUN
ejpam-6274	100	21	)	)	PUNCT
ejpam-6274	100	22	∩	∩	NOUN
ejpam-6274	100	23	p	p	X
ejpam-6274	100	24	log	log	NOUN
ejpam-6274	100	25	∞	∞	PROPN
ejpam-6274	100	26	(	(	PUNCT
ejpam-6274	100	27	rn	rn	NOUN
ejpam-6274	100	28	)	)	PUNCT
ejpam-6274	100	29	with	with	ADP
ejpam-6274	100	30	η(0	η(0	PROPN
ejpam-6274	100	31	)	)	PUNCT
ejpam-6274	100	32	,	,	PUNCT
ejpam-6274	100	33	η∞	η∞	PROPN
ejpam-6274	100	34	∈	∈	PROPN
ejpam-6274	100	35	(	(	PUNCT
ejpam-6274	100	36	−nω1	−nω1	NOUN
ejpam-6274	100	37	,	,	PUNCT
ejpam-6274	100	38	nω2	nω2	PROPN
ejpam-6274	100	39	)	)	PUNCT
ejpam-6274	100	40	,	,	PUNCT
ejpam-6274	100	41	where	where	SCONJ
ejpam-6274	100	42	ω1	ω1	PROPN
ejpam-6274	100	43	,	,	PUNCT
ejpam-6274	100	44	ω2	ω2	PROPN
ejpam-6274	100	45	∈	∈	PROPN
ejpam-6274	100	46	(	(	PUNCT
ejpam-6274	100	47	0	0	NUM
ejpam-6274	100	48	,	,	PUNCT
ejpam-6274	100	49	1	1	NUM
ejpam-6274	100	50	)	)	PUNCT
ejpam-6274	100	51	are	be	AUX
ejpam-6274	100	52	constants	constant	NOUN
ejpam-6274	100	53	appearing	appear	VERB
ejpam-6274	100	54	in	in	ADP
ejpam-6274	100	55	(	(	PUNCT
ejpam-6274	100	56	2.1	2.1	NUM
ejpam-6274	100	57	)	)	PUNCT
ejpam-6274	100	58	.	.	PUNCT
ejpam-6274	101	1	let	let	VERB
ejpam-6274	101	2	p	p	PRON
ejpam-6274	101	3	(	(	PUNCT
ejpam-6274	101	4	·	·	PUNCT
ejpam-6274	101	5	)	)	PUNCT
ejpam-6274	101	6	∈	∈	PROPN
ejpam-6274	101	7	b	b	PROPN
ejpam-6274	101	8	(	(	PUNCT
ejpam-6274	101	9	rn	rn	NOUN
ejpam-6274	101	10	)	)	PUNCT
ejpam-6274	101	11	,	,	PUNCT
ejpam-6274	101	12	0	0	PUNCT
ejpam-6274	101	13	<	<	X
ejpam-6274	101	14	q	q	X
ejpam-6274	101	15	<	<	X
ejpam-6274	101	16	∞	∞	PROPN
ejpam-6274	101	17	,	,	PUNCT
ejpam-6274	101	18	and	and	CCONJ
ejpam-6274	101	19	0	0	NUM
ejpam-6274	101	20	⩽	⩽	NOUN
ejpam-6274	101	21	λ	λ	PROPN
ejpam-6274	101	22	<	<	X
ejpam-6274	101	23	min	min	X
ejpam-6274	101	24	{	{	PUNCT
ejpam-6274	101	25	(	(	PUNCT
ejpam-6274	101	26	nω1	nω1	NOUN
ejpam-6274	101	27	+	+	X
ejpam-6274	101	28	η(0	η(0	PROPN
ejpam-6274	101	29	)	)	PUNCT
ejpam-6274	101	30	)	)	PUNCT
ejpam-6274	101	31	/2	/2	PUNCT
ejpam-6274	101	32	,	,	PUNCT
ejpam-6274	101	33	(	(	PUNCT
ejpam-6274	101	34	nω1	nω1	X
ejpam-6274	101	35	+	+	X
ejpam-6274	101	36	η∞	η∞	ADJ
ejpam-6274	101	37	)	)	PUNCT
ejpam-6274	101	38	/2	/2	PUNCT
ejpam-6274	101	39	}	}	PUNCT
ejpam-6274	101	40	.	.	PUNCT
ejpam-6274	102	1	suppose	suppose	VERB
ejpam-6274	102	2	that	that	SCONJ
ejpam-6274	102	3	t	t	PROPN
ejpam-6274	102	4	is	be	AUX
ejpam-6274	102	5	a	a	DET
ejpam-6274	102	6	sublinear	sublinear	NOUN
ejpam-6274	102	7	operator	operator	NOUN
ejpam-6274	102	8	satisfying	satisfy	VERB
ejpam-6274	102	9	vector	vector	NOUN
ejpam-6274	102	10	-	-	PUNCT
ejpam-6274	102	11	valued	value	VERB
ejpam-6274	102	12	inequality	inequality	NOUN
ejpam-6274	102	13	on	on	ADP
ejpam-6274	102	14	lp	lp	PROPN
ejpam-6274	102	15	(	(	PUNCT
ejpam-6274	102	16	·	·	PUNCT
ejpam-6274	102	17	)	)	PUNCT
ejpam-6274	102	18	(	(	PUNCT
ejpam-6274	102	19	rn)∥∥∥∥∥∥∥	rn)∥∥∥∥∥∥∥	X
ejpam-6274	102	20			PROPN
ejpam-6274	102	21	∞∑	∞∑	PROPN
ejpam-6274	102	22	j=1	j=1	PROPN
ejpam-6274	102	23	|tgj	|tgj	NUM
ejpam-6274	102	24	|r	|r	NOUN
ejpam-6274	102	25			PROPN
ejpam-6274	102	26	1	1	NUM
ejpam-6274	102	27	r	r	NOUN
ejpam-6274	102	28	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	102	29	p	p	X
ejpam-6274	102	30	(	(	PUNCT
ejpam-6274	102	31	·	·	PUNCT
ejpam-6274	102	32	)	)	PUNCT
ejpam-6274	102	33	⩽	⩽	NOUN
ejpam-6274	103	1	c	c	X
ejpam-6274	103	2	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	104	1			PROPN
ejpam-6274	104	2	∞∑	∞∑	NUM
ejpam-6274	104	3	j=1	j=1	NOUN
ejpam-6274	104	4	|gj	|gj	NUM
ejpam-6274	104	5	|r	|r	NOUN
ejpam-6274	104	6			PROPN
ejpam-6274	104	7	1	1	NUM
ejpam-6274	104	8	r	r	NOUN
ejpam-6274	104	9	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	104	10	p	p	X
ejpam-6274	104	11	(	(	PUNCT
ejpam-6274	104	12	·	·	PUNCT
ejpam-6274	104	13	)	)	PUNCT
ejpam-6274	104	14	,	,	PUNCT
ejpam-6274	104	15	(	(	PUNCT
ejpam-6274	104	16	2.7	2.7	NUM
ejpam-6274	104	17	)	)	PUNCT
ejpam-6274	104	18	for	for	ADP
ejpam-6274	104	19	all	all	DET
ejpam-6274	104	20	sequences	sequence	NOUN
ejpam-6274	104	21	{	{	PUNCT
ejpam-6274	104	22	gj}∞j=1	gj}∞j=1	NOUN
ejpam-6274	104	23	of	of	ADP
ejpam-6274	104	24	locally	locally	ADV
ejpam-6274	104	25	integrable	integrable	ADJ
ejpam-6274	104	26	functions	function	NOUN
ejpam-6274	104	27	on	on	ADP
ejpam-6274	104	28	rn	rn	PROPN
ejpam-6274	104	29	.	.	PUNCT
ejpam-6274	105	1	then	then	ADV
ejpam-6274	105	2	we	we	PRON
ejpam-6274	105	3	have	have	VERB
ejpam-6274	105	4	the	the	DET
ejpam-6274	105	5	vector	vector	NOUN
ejpam-6274	105	6	-	-	PUNCT
ejpam-6274	105	7	valued	value	VERB
ejpam-6274	105	8	inequality	inequality	NOUN
ejpam-6274	105	9	on	on	ADP
ejpam-6274	105	10	mk̇	mk̇	NUM
ejpam-6274	105	11	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	105	12	λ	λ	NOUN
ejpam-6274	105	13	,	,	PUNCT
ejpam-6274	105	14	p	p	X
ejpam-6274	105	15	(	(	PUNCT
ejpam-6274	105	16	·	·	PUNCT
ejpam-6274	105	17	)	)	PUNCT
ejpam-6274	105	18	(	(	PUNCT
ejpam-6274	105	19	rn)∥∥∥∥∥∥	rn)∥∥∥∥∥∥	X
ejpam-6274	105	20	(	(	PUNCT
ejpam-6274	105	21	∞∑	∞∑	NUM
ejpam-6274	105	22	k=1	k=1	X
ejpam-6274	105	23	|tgk|r	|tgk|r	NOUN
ejpam-6274	105	24	)	)	PUNCT
ejpam-6274	105	25	1	1	NUM
ejpam-6274	105	26	r	r	NOUN
ejpam-6274	105	27	∥∥∥∥∥∥	∥∥∥∥∥∥	NUM
ejpam-6274	106	1	mk̇	mk̇	NUM
ejpam-6274	106	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	106	3	λ	λ	NOUN
ejpam-6274	106	4	,	,	PUNCT
ejpam-6274	106	5	p	p	X
ejpam-6274	106	6	(	(	PUNCT
ejpam-6274	106	7	·	·	PUNCT
ejpam-6274	106	8	)	)	PUNCT
ejpam-6274	106	9	(	(	PUNCT
ejpam-6274	106	10	rn	rn	NOUN
ejpam-6274	106	11	)	)	PUNCT
ejpam-6274	106	12	⩽	⩽	NOUN
ejpam-6274	106	13	c	c	PROPN
ejpam-6274	106	14	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-6274	107	1	(	(	PUNCT
ejpam-6274	107	2	∞∑	∞∑	NUM
ejpam-6274	107	3	k=1	k=1	ADJ
ejpam-6274	107	4	|gk|r	|gk|r	NOUN
ejpam-6274	107	5	)	)	PUNCT
ejpam-6274	107	6	1	1	NUM
ejpam-6274	107	7	r	r	NOUN
ejpam-6274	107	8	∥∥∥∥∥∥	∥∥∥∥∥∥	NOUN
ejpam-6274	108	1	mk̇	mk̇	NUM
ejpam-6274	108	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	108	3	λ	λ	NOUN
ejpam-6274	108	4	,	,	PUNCT
ejpam-6274	108	5	p	p	X
ejpam-6274	108	6	(	(	PUNCT
ejpam-6274	108	7	·	·	PUNCT
ejpam-6274	108	8	)	)	PUNCT
ejpam-6274	108	9	(	(	PUNCT
ejpam-6274	108	10	rn	rn	NOUN
ejpam-6274	108	11	)	)	PUNCT
ejpam-6274	108	12	.	.	PUNCT
ejpam-6274	109	1	remark	remark	NOUN
ejpam-6274	109	2	9	9	NUM
ejpam-6274	109	3	.	.	PUNCT
ejpam-6274	110	1	here	here	ADV
ejpam-6274	110	2	and	and	CCONJ
ejpam-6274	110	3	below	below	ADV
ejpam-6274	110	4	,	,	PUNCT
ejpam-6274	110	5	we	we	PRON
ejpam-6274	110	6	only	only	ADV
ejpam-6274	110	7	declare	declare	VERB
ejpam-6274	110	8	our	our	PRON
ejpam-6274	110	9	main	main	ADJ
ejpam-6274	110	10	results	result	NOUN
ejpam-6274	110	11	in	in	ADP
ejpam-6274	110	12	the	the	DET
ejpam-6274	110	13	homogeneous	homogeneous	ADJ
ejpam-6274	110	14	grand	grand	ADJ
ejpam-6274	110	15	variable	variable	ADJ
ejpam-6274	110	16	herz	herz	ADJ
ejpam-6274	110	17	-	-	PUNCT
ejpam-6274	110	18	morrey	morrey	PROPN
ejpam-6274	110	19	space	space	NOUN
ejpam-6274	110	20	because	because	SCONJ
ejpam-6274	110	21	the	the	DET
ejpam-6274	110	22	proof	proof	NOUN
ejpam-6274	110	23	for	for	ADP
ejpam-6274	110	24	the	the	DET
ejpam-6274	110	25	non	non	ADJ
ejpam-6274	110	26	-	-	ADJ
ejpam-6274	110	27	homogeneous	homogeneous	ADJ
ejpam-6274	110	28	case	case	NOUN
ejpam-6274	110	29	can	can	AUX
ejpam-6274	110	30	be	be	AUX
ejpam-6274	110	31	treated	treat	VERB
ejpam-6274	110	32	by	by	ADP
ejpam-6274	110	33	the	the	DET
ejpam-6274	110	34	similar	similar	ADJ
ejpam-6274	110	35	way	way	NOUN
ejpam-6274	110	36	and	and	CCONJ
ejpam-6274	110	37	is	be	AUX
ejpam-6274	110	38	much	much	ADV
ejpam-6274	110	39	more	more	ADV
ejpam-6274	110	40	easier	easy	ADJ
ejpam-6274	110	41	.	.	PUNCT
ejpam-6274	111	1	m.	m.	NOUN
ejpam-6274	111	2	sultan	sultan	PROPN
ejpam-6274	111	3	,	,	PUNCT
ejpam-6274	111	4	b.	b.	PROPN
ejpam-6274	111	5	sultan	sultan	PROPN
ejpam-6274	111	6	,	,	PUNCT
ejpam-6274	111	7	i	i	PROPN
ejpam-6274	111	8	-	-	PUNCT
ejpam-6274	111	9	l.	l.	PROPN
ejpam-6274	111	10	popa	popa	PROPN
ejpam-6274	111	11	/	/	SYM
ejpam-6274	111	12	eur	eur	PROPN
ejpam-6274	111	13	.	.	PUNCT
ejpam-6274	112	1	j.	j.	PROPN
ejpam-6274	112	2	pure	pure	PROPN
ejpam-6274	112	3	appl	appl	PROPN
ejpam-6274	112	4	.	.	PROPN
ejpam-6274	112	5	math	math	PROPN
ejpam-6274	112	6	,	,	PUNCT
ejpam-6274	112	7	18	18	NUM
ejpam-6274	112	8	(	(	PUNCT
ejpam-6274	112	9	3	3	NUM
ejpam-6274	112	10	)	)	PUNCT
ejpam-6274	112	11	(	(	PUNCT
ejpam-6274	112	12	2025	2025	NUM
ejpam-6274	112	13	)	)	PUNCT
ejpam-6274	112	14	,	,	PUNCT
ejpam-6274	112	15	6274	6274	NUM
ejpam-6274	112	16	6	6	NUM
ejpam-6274	112	17	of	of	ADP
ejpam-6274	112	18	33	33	NUM
ejpam-6274	112	19	lemma	lemma	PROPN
ejpam-6274	112	20	10	10	NUM
ejpam-6274	112	21	.	.	PUNCT
ejpam-6274	113	1	(	(	PUNCT
ejpam-6274	113	2	see	see	VERB
ejpam-6274	113	3	[	[	X
ejpam-6274	113	4	1	1	NUM
ejpam-6274	113	5	]	]	PUNCT
ejpam-6274	113	6	)	)	PUNCT
ejpam-6274	113	7	let	let	VERB
ejpam-6274	113	8	p	p	X
ejpam-6274	113	9	(	(	PUNCT
ejpam-6274	113	10	·	·	PUNCT
ejpam-6274	113	11	)	)	PUNCT
ejpam-6274	113	12	,	,	PUNCT
ejpam-6274	114	1	r	r	NOUN
ejpam-6274	114	2	,	,	PUNCT
ejpam-6274	114	3	and	and	CCONJ
ejpam-6274	114	4	{	{	PUNCT
ejpam-6274	114	5	gj}∞j=1	gj}∞j=1	X
ejpam-6274	114	6	are	be	AUX
ejpam-6274	114	7	given	give	VERB
ejpam-6274	114	8	in	in	ADP
ejpam-6274	114	9	theorem	theorem	ADJ
ejpam-6274	114	10	2.8	2.8	NUM
ejpam-6274	114	11	,	,	PUNCT
ejpam-6274	114	12	then∥∥∥∥∥∥∥	then∥∥∥∥∥∥∥	PROPN
ejpam-6274	114	13			PROPN
ejpam-6274	114	14	∞∑	∞∑	PROPN
ejpam-6274	114	15	j=1	j=1	PROPN
ejpam-6274	114	16	|mgj	|mgj	PROPN
ejpam-6274	114	17	|r	|r	NOUN
ejpam-6274	114	18			PROPN
ejpam-6274	114	19	1	1	NUM
ejpam-6274	114	20	r	r	NOUN
ejpam-6274	114	21	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	NUM
ejpam-6274	114	22	lp(·)(rn	lp(·)(rn	PROPN
ejpam-6274	114	23	)	)	PUNCT
ejpam-6274	114	24	⩽	⩽	NOUN
ejpam-6274	115	1	c	c	X
ejpam-6274	115	2	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	116	1			PROPN
ejpam-6274	116	2	∞∑	∞∑	NUM
ejpam-6274	116	3	j=1	j=1	NOUN
ejpam-6274	116	4	|gj	|gj	NUM
ejpam-6274	116	5	|r	|r	NOUN
ejpam-6274	116	6			PROPN
ejpam-6274	116	7	1	1	NUM
ejpam-6274	116	8	r	r	NOUN
ejpam-6274	116	9	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	NUM
ejpam-6274	116	10	lp(·)(rn	lp(·)(rn	PROPN
ejpam-6274	116	11	)	)	PUNCT
ejpam-6274	116	12	.	.	PUNCT
ejpam-6274	117	1	from	from	ADP
ejpam-6274	117	2	theorem	theorem	ADJ
ejpam-6274	117	3	2.5	2.5	NUM
ejpam-6274	117	4	and	and	CCONJ
ejpam-6274	117	5	lemma	lemma	PROPN
ejpam-6274	117	6	2.7	2.7	NUM
ejpam-6274	117	7	,	,	PUNCT
ejpam-6274	117	8	we	we	PRON
ejpam-6274	117	9	obtain	obtain	VERB
ejpam-6274	117	10	the	the	DET
ejpam-6274	117	11	following	following	ADJ
ejpam-6274	117	12	result	result	NOUN
ejpam-6274	117	13	for	for	ADP
ejpam-6274	117	14	the	the	DET
ejpam-6274	117	15	hardylittlewood	hardylittlewood	NOUN
ejpam-6274	117	16	maximal	maximal	ADJ
ejpam-6274	117	17	operator	operator	NOUN
ejpam-6274	117	18	.	.	PUNCT
ejpam-6274	118	1	corollary	corollary	ADJ
ejpam-6274	118	2	1	1	NUM
ejpam-6274	118	3	.	.	PUNCT
ejpam-6274	119	1	let	let	VERB
ejpam-6274	119	2	η	η	PROPN
ejpam-6274	119	3	,	,	PUNCT
ejpam-6274	119	4	r	r	NOUN
ejpam-6274	119	5	,	,	PUNCT
ejpam-6274	119	6	q	q	ADJ
ejpam-6274	119	7	,	,	PUNCT
ejpam-6274	119	8	p	p	X
ejpam-6274	119	9	,	,	PUNCT
ejpam-6274	119	10	are	be	AUX
ejpam-6274	119	11	given	give	VERB
ejpam-6274	119	12	in	in	ADP
ejpam-6274	119	13	theorem	theorem	ADJ
ejpam-6274	119	14	2.8	2.8	NUM
ejpam-6274	119	15	and	and	CCONJ
ejpam-6274	119	16	0	0	NUM
ejpam-6274	119	17	⩽	⩽	NOUN
ejpam-6274	119	18	λ	λ	PROPN
ejpam-6274	119	19	<	<	X
ejpam-6274	119	20	min	min	X
ejpam-6274	119	21	{	{	PUNCT
ejpam-6274	119	22	(	(	PUNCT
ejpam-6274	119	23	nω1	nω1	NOUN
ejpam-6274	119	24	+	+	X
ejpam-6274	119	25	η(0	η(0	PROPN
ejpam-6274	119	26	)	)	PUNCT
ejpam-6274	119	27	)	)	PUNCT
ejpam-6274	119	28	/2	/2	PUNCT
ejpam-6274	119	29	,	,	PUNCT
ejpam-6274	119	30	(	(	PUNCT
ejpam-6274	119	31	nω1	nω1	X
ejpam-6274	119	32	+	+	X
ejpam-6274	119	33	η∞	η∞	ADJ
ejpam-6274	119	34	)	)	PUNCT
ejpam-6274	119	35	/2	/2	PUNCT
ejpam-6274	119	36	}	}	PUNCT
ejpam-6274	119	37	,	,	PUNCT
ejpam-6274	119	38	then	then	ADV
ejpam-6274	119	39	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-6274	119	40	(	(	PUNCT
ejpam-6274	119	41	∞∑	∞∑	NUM
ejpam-6274	119	42	k=1	k=1	ADJ
ejpam-6274	119	43	|mgk|r	|mgk|r	X
ejpam-6274	119	44	)	)	PUNCT
ejpam-6274	119	45	1	1	NUM
ejpam-6274	119	46	r	r	NOUN
ejpam-6274	119	47	∥∥∥∥∥∥	∥∥∥∥∥∥	NUM
ejpam-6274	120	1	mk̇	mk̇	NUM
ejpam-6274	120	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	120	3	λ	λ	NOUN
ejpam-6274	120	4	,	,	PUNCT
ejpam-6274	120	5	p	p	X
ejpam-6274	120	6	(	(	PUNCT
ejpam-6274	120	7	·	·	PUNCT
ejpam-6274	120	8	)	)	PUNCT
ejpam-6274	120	9	(	(	PUNCT
ejpam-6274	120	10	rn	rn	NOUN
ejpam-6274	120	11	)	)	PUNCT
ejpam-6274	120	12	⩽	⩽	NOUN
ejpam-6274	120	13	c	c	PROPN
ejpam-6274	120	14	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-6274	121	1	(	(	PUNCT
ejpam-6274	121	2	∞∑	∞∑	NUM
ejpam-6274	121	3	k=1	k=1	ADJ
ejpam-6274	121	4	|gk|r	|gk|r	NOUN
ejpam-6274	121	5	)	)	PUNCT
ejpam-6274	121	6	1	1	NUM
ejpam-6274	121	7	r	r	NOUN
ejpam-6274	121	8	∥∥∥∥∥∥	∥∥∥∥∥∥	NOUN
ejpam-6274	122	1	mk̇	mk̇	NUM
ejpam-6274	122	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	122	3	λ	λ	NOUN
ejpam-6274	122	4	,	,	PUNCT
ejpam-6274	122	5	p	p	X
ejpam-6274	122	6	(	(	PUNCT
ejpam-6274	122	7	·	·	PUNCT
ejpam-6274	122	8	)	)	PUNCT
ejpam-6274	122	9	(	(	PUNCT
ejpam-6274	122	10	rn	rn	NOUN
ejpam-6274	122	11	)	)	PUNCT
ejpam-6274	122	12	.	.	PUNCT
ejpam-6274	123	1	let	let	VERB
ejpam-6274	123	2	s	s	PRON
ejpam-6274	123	3	(	(	PUNCT
ejpam-6274	123	4	rn	rn	NOUN
ejpam-6274	123	5	)	)	PUNCT
ejpam-6274	123	6	denote	denote	VERB
ejpam-6274	123	7	the	the	DET
ejpam-6274	123	8	schwartz	schwartz	PROPN
ejpam-6274	123	9	functions	function	NOUN
ejpam-6274	123	10	and	and	CCONJ
ejpam-6274	123	11	s	s	PRON
ejpam-6274	123	12	′	′	NUM
ejpam-6274	123	13	(	(	PUNCT
ejpam-6274	123	14	rn	rn	NOUN
ejpam-6274	123	15	)	)	PUNCT
ejpam-6274	123	16	the	the	DET
ejpam-6274	123	17	set	set	NOUN
ejpam-6274	123	18	of	of	ADP
ejpam-6274	123	19	all	all	DET
ejpam-6274	123	20	tempered	temper	VERB
ejpam-6274	123	21	distributions	distribution	NOUN
ejpam-6274	123	22	.	.	PUNCT
ejpam-6274	124	1	we	we	PRON
ejpam-6274	124	2	define	define	VERB
ejpam-6274	124	3	the	the	DET
ejpam-6274	124	4	fourier	fourier	ADJ
ejpam-6274	124	5	transform	transform	NOUN
ejpam-6274	124	6	of	of	ADP
ejpam-6274	124	7	a	a	DET
ejpam-6274	124	8	function	function	NOUN
ejpam-6274	124	9	g	g	PROPN
ejpam-6274	124	10	∈	∈	PROPN
ejpam-6274	124	11	s	s	PART
ejpam-6274	124	12	(	(	PUNCT
ejpam-6274	124	13	rn	rn	NOUN
ejpam-6274	124	14	)	)	PUNCT
ejpam-6274	124	15	by	by	ADP
ejpam-6274	124	16	φ̂(g)(y	φ̂(g)(y	PROPN
ejpam-6274	124	17	)	)	PUNCT
ejpam-6274	125	1	=	=	SYM
ejpam-6274	125	2	2π−n/2	2π−n/2	PROPN
ejpam-6274	125	3	∫	∫	PROPN
ejpam-6274	125	4	rn	rn	PROPN
ejpam-6274	125	5	e−ix·yg(x)dx	e−ix·yg(x)dx	PROPN
ejpam-6274	125	6	,	,	PUNCT
ejpam-6274	125	7	y	y	PROPN
ejpam-6274	125	8	∈	∈	PROPN
ejpam-6274	125	9	rn	rn	PROPN
ejpam-6274	125	10	,	,	PUNCT
ejpam-6274	125	11	while	while	SCONJ
ejpam-6274	125	12	φ∨	φ∨	PROPN
ejpam-6274	125	13	is	be	AUX
ejpam-6274	125	14	the	the	DET
ejpam-6274	125	15	inverse	inverse	ADJ
ejpam-6274	125	16	fourier	fourier	NOUN
ejpam-6274	125	17	transform	transform	NOUN
ejpam-6274	125	18	.	.	PUNCT
ejpam-6274	126	1	let	let	VERB
ejpam-6274	126	2	φ0	φ0	PROPN
ejpam-6274	126	3	∈	∈	PROPN
ejpam-6274	126	4	s	s	PART
ejpam-6274	126	5	(	(	PUNCT
ejpam-6274	126	6	rn	rn	NOUN
ejpam-6274	126	7	)	)	PUNCT
ejpam-6274	126	8	with	with	ADP
ejpam-6274	126	9	φ0(y	φ0(y	PROPN
ejpam-6274	126	10	)	)	PUNCT
ejpam-6274	126	11	⩾	⩾	NOUN
ejpam-6274	126	12	0	0	PUNCT
ejpam-6274	127	1	then	then	ADV
ejpam-6274	127	2	we	we	PRON
ejpam-6274	127	3	have	have	AUX
ejpam-6274	127	4	φ0(y	φ0(y	PROPN
ejpam-6274	127	5	)	)	PUNCT
ejpam-6274	127	6	=	=	SYM
ejpam-6274	127	7	{	{	PUNCT
ejpam-6274	127	8	1	1	NUM
ejpam-6274	127	9	,	,	PUNCT
ejpam-6274	127	10	|y|	|y|	ADJ
ejpam-6274	127	11	⩽	⩽	ADJ
ejpam-6274	127	12	1	1	NUM
ejpam-6274	127	13	0	0	NUM
ejpam-6274	127	14	,	,	PUNCT
ejpam-6274	127	15	|y|	|y|	ADJ
ejpam-6274	127	16	⩾	⩾	NOUN
ejpam-6274	127	17	2	2	X
ejpam-6274	127	18	.	.	PUNCT
ejpam-6274	127	19	let	let	VERB
ejpam-6274	127	20	φ(y	φ(y	VERB
ejpam-6274	127	21	)	)	PUNCT
ejpam-6274	127	22	=	=	SYM
ejpam-6274	127	23	φ0(y)−	φ0(y)−	PROPN
ejpam-6274	127	24	φ0(2y	φ0(2y	PROPN
ejpam-6274	127	25	)	)	PUNCT
ejpam-6274	127	26	and	and	CCONJ
ejpam-6274	127	27	define	define	VERB
ejpam-6274	127	28	φℓ(y	φℓ(y	NOUN
ejpam-6274	127	29	)	)	PUNCT
ejpam-6274	128	1	=	=	SYM
ejpam-6274	128	2	φ	φ	PROPN
ejpam-6274	128	3	(	(	PUNCT
ejpam-6274	128	4	2−ℓy	2−ℓy	PROPN
ejpam-6274	128	5	)	)	PUNCT
ejpam-6274	128	6	,	,	PUNCT
ejpam-6274	128	7	ℓ	ℓ	PROPN
ejpam-6274	128	8	∈	∈	PROPN
ejpam-6274	128	9	n.	n.	NOUN
ejpam-6274	128	10	then	then	ADV
ejpam-6274	128	11	{	{	PUNCT
ejpam-6274	128	12	φℓ}ℓ∈n0	φℓ}ℓ∈n0	NOUN
ejpam-6274	128	13	be	be	VERB
ejpam-6274	128	14	the	the	DET
ejpam-6274	128	15	resolution	resolution	NOUN
ejpam-6274	128	16	of	of	ADP
ejpam-6274	128	17	unity	unity	NOUN
ejpam-6274	128	18	,	,	PUNCT
ejpam-6274	128	19	such	such	ADJ
ejpam-6274	128	20	that	that	SCONJ
ejpam-6274	128	21	∞∑	∞∑	NUM
ejpam-6274	128	22	ℓ=0	ℓ=0	NOUN
ejpam-6274	128	23	φℓ(x	φℓ(x	NOUN
ejpam-6274	128	24	)	)	PUNCT
ejpam-6274	128	25	=	=	SYM
ejpam-6274	129	1	1	1	NUM
ejpam-6274	129	2	,	,	PUNCT
ejpam-6274	129	3	x	x	PROPN
ejpam-6274	129	4	∈	∈	PROPN
ejpam-6274	129	5	rn	rn	PROPN
ejpam-6274	129	6	.	.	PROPN
ejpam-6274	129	7	definition	definition	NOUN
ejpam-6274	129	8	11	11	NUM
ejpam-6274	129	9	.	.	PUNCT
ejpam-6274	130	1	let	let	VERB
ejpam-6274	130	2	{	{	PUNCT
ejpam-6274	130	3	φj}j∈n0	φj}j∈n0	NOUN
ejpam-6274	130	4	be	be	AUX
ejpam-6274	130	5	a	a	DET
ejpam-6274	130	6	resolution	resolution	NOUN
ejpam-6274	130	7	of	of	ADP
ejpam-6274	130	8	unity	unity	NOUN
ejpam-6274	130	9	as	as	ADP
ejpam-6274	130	10	above	above	ADV
ejpam-6274	130	11	,	,	PUNCT
ejpam-6274	130	12	s	s	VERB
ejpam-6274	130	13	∈	∈	PROPN
ejpam-6274	130	14	r	r	NOUN
ejpam-6274	130	15	,	,	PUNCT
ejpam-6274	130	16	0	0	NUM
ejpam-6274	130	17	<	<	X
ejpam-6274	130	18	κ	κ	NOUN
ejpam-6274	130	19	,	,	PUNCT
ejpam-6274	130	20	q	q	PROPN
ejpam-6274	130	21	≤	≤	NUM
ejpam-6274	130	22	∞	∞	PROPN
ejpam-6274	130	23	,	,	PUNCT
ejpam-6274	131	1	p	p	X
ejpam-6274	131	2	(	(	PUNCT
ejpam-6274	131	3	·	·	PUNCT
ejpam-6274	131	4	)	)	PUNCT
ejpam-6274	131	5	∈	∈	PROPN
ejpam-6274	131	6	p	p	X
ejpam-6274	131	7	(	(	PUNCT
ejpam-6274	131	8	rn	rn	NOUN
ejpam-6274	131	9	)	)	PUNCT
ejpam-6274	131	10	and	and	CCONJ
ejpam-6274	131	11	η	η	PROPN
ejpam-6274	131	12	(	(	PUNCT
ejpam-6274	131	13	·	·	PUNCT
ejpam-6274	131	14	)	)	PUNCT
ejpam-6274	131	15	:	:	PUNCT
ejpam-6274	132	1	rn	rn	PROPN
ejpam-6274	132	2	→	→	SYM
ejpam-6274	132	3	r	r	NOUN
ejpam-6274	132	4	with	with	ADP
ejpam-6274	132	5	η	η	PROPN
ejpam-6274	132	6	(	(	PUNCT
ejpam-6274	132	7	·	·	PUNCT
ejpam-6274	132	8	)	)	PUNCT
ejpam-6274	132	9	∈	∈	PROPN
ejpam-6274	132	10	l∞	l∞	NOUN
ejpam-6274	132	11	(	(	PUNCT
ejpam-6274	132	12	rn	rn	NOUN
ejpam-6274	132	13	)	)	PUNCT
ejpam-6274	132	14	.	.	PUNCT
ejpam-6274	133	1	(	(	PUNCT
ejpam-6274	133	2	i	i	NOUN
ejpam-6274	133	3	)	)	PUNCT
ejpam-6274	133	4	then	then	ADV
ejpam-6274	133	5	the	the	DET
ejpam-6274	133	6	grand	grand	ADJ
ejpam-6274	133	7	variable	variable	ADJ
ejpam-6274	133	8	herz	herz	ADJ
ejpam-6274	133	9	-	-	PUNCT
ejpam-6274	133	10	morrey	morrey	PROPN
ejpam-6274	133	11	type	type	NOUN
ejpam-6274	133	12	besov	besov	NOUN
ejpam-6274	133	13	space	space	NOUN
ejpam-6274	133	14	is	be	AUX
ejpam-6274	133	15	defined	define	VERB
ejpam-6274	133	16	by	by	ADP
ejpam-6274	133	17	m.	m.	NOUN
ejpam-6274	133	18	sultan	sultan	PROPN
ejpam-6274	133	19	,	,	PUNCT
ejpam-6274	133	20	b.	b.	PROPN
ejpam-6274	133	21	sultan	sultan	PROPN
ejpam-6274	133	22	,	,	PUNCT
ejpam-6274	133	23	i	i	PROPN
ejpam-6274	133	24	-	-	PUNCT
ejpam-6274	133	25	l.	l.	PROPN
ejpam-6274	133	26	popa	popa	PROPN
ejpam-6274	133	27	/	/	SYM
ejpam-6274	133	28	eur	eur	PROPN
ejpam-6274	133	29	.	.	PUNCT
ejpam-6274	134	1	j.	j.	PROPN
ejpam-6274	134	2	pure	pure	PROPN
ejpam-6274	134	3	appl	appl	PROPN
ejpam-6274	134	4	.	.	PROPN
ejpam-6274	134	5	math	math	PROPN
ejpam-6274	134	6	,	,	PUNCT
ejpam-6274	134	7	18	18	NUM
ejpam-6274	134	8	(	(	PUNCT
ejpam-6274	134	9	3	3	NUM
ejpam-6274	134	10	)	)	PUNCT
ejpam-6274	134	11	(	(	PUNCT
ejpam-6274	134	12	2025	2025	NUM
ejpam-6274	134	13	)	)	PUNCT
ejpam-6274	134	14	,	,	PUNCT
ejpam-6274	134	15	6274	6274	NUM
ejpam-6274	134	16	7	7	NUM
ejpam-6274	134	17	of	of	ADP
ejpam-6274	134	18	33	33	NUM
ejpam-6274	134	19	mk̇	mk̇	NUM
ejpam-6274	134	20	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	134	21	λ	λ	NOUN
ejpam-6274	134	22	,	,	PUNCT
ejpam-6274	134	23	p	p	X
ejpam-6274	134	24	(	(	PUNCT
ejpam-6274	134	25	·	·	PUNCT
ejpam-6274	134	26	)	)	PUNCT
ejpam-6274	134	27	bs	bs	PROPN
ejpam-6274	134	28	κ	κ	PROPN
ejpam-6274	134	29	(	(	PUNCT
ejpam-6274	134	30	rn	rn	NOUN
ejpam-6274	134	31	)	)	PUNCT
ejpam-6274	134	32	:	:	PUNCT
ejpam-6274	135	1	=	=	X
ejpam-6274	135	2	{	{	PUNCT
ejpam-6274	135	3	g	g	PROPN
ejpam-6274	135	4	∈	∈	PROPN
ejpam-6274	135	5	s	s	PART
ejpam-6274	135	6	′	′	NUM
ejpam-6274	135	7	(	(	PUNCT
ejpam-6274	135	8	rn	rn	NOUN
ejpam-6274	135	9	)	)	PUNCT
ejpam-6274	135	10	:	:	PUNCT
ejpam-6274	135	11	∥g∥	∥g∥	ADV
ejpam-6274	135	12	ℓκ	ℓκ	ADP
ejpam-6274	135	13	(	(	PUNCT
ejpam-6274	135	14	mk̇	mk̇	NOUN
ejpam-6274	135	15	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	135	16	λ	λ	NOUN
ejpam-6274	135	17	,	,	PUNCT
ejpam-6274	135	18	p	p	X
ejpam-6274	135	19	(	(	PUNCT
ejpam-6274	135	20	·	·	PUNCT
ejpam-6274	135	21	)	)	PUNCT
ejpam-6274	135	22	(	(	PUNCT
ejpam-6274	135	23	rn	rn	NOUN
ejpam-6274	135	24	)	)	PUNCT
ejpam-6274	135	25	)	)	PUNCT
ejpam-6274	135	26	<	<	X
ejpam-6274	135	27	∞	∞	PROPN
ejpam-6274	135	28	}	}	PUNCT
ejpam-6274	135	29	,	,	PUNCT
ejpam-6274	135	30	where	where	SCONJ
ejpam-6274	135	31	∥g∥	∥g∥	PROPN
ejpam-6274	135	32	mk̇	mk̇	NUM
ejpam-6274	135	33	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	135	34	λ	λ	NOUN
ejpam-6274	135	35	,	,	PUNCT
ejpam-6274	135	36	p	p	X
ejpam-6274	135	37	(	(	PUNCT
ejpam-6274	135	38	·	·	PUNCT
ejpam-6274	135	39	)	)	PUNCT
ejpam-6274	135	40	bs	bs	ADP
ejpam-6274	135	41	κ	κ	NOUN
ejpam-6274	135	42	:	:	PUNCT
ejpam-6274	135	43	=	=	SYM
ejpam-6274	135	44	∥∥∥{2sjφ∨	∥∥∥{2sjφ∨	PROPN
ejpam-6274	135	45	j	j	PROPN
ejpam-6274	135	46	∗	∗	VERB
ejpam-6274	135	47	g	g	PROPN
ejpam-6274	135	48	}	}	PUNCT
ejpam-6274	135	49	∞	∞	NUM
ejpam-6274	135	50	j=0	j=0	PROPN
ejpam-6274	135	51	∥∥∥	∥∥∥	PROPN
ejpam-6274	135	52	ℓκ	ℓκ	ADP
ejpam-6274	135	53	(	(	PUNCT
ejpam-6274	135	54	mk̇	mk̇	NUM
ejpam-6274	135	55	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	135	56	λ	λ	NOUN
ejpam-6274	135	57	,	,	PUNCT
ejpam-6274	135	58	p	p	X
ejpam-6274	135	59	(	(	PUNCT
ejpam-6274	135	60	·	·	PUNCT
ejpam-6274	135	61	)	)	PUNCT
ejpam-6274	135	62	)	)	PUNCT
ejpam-6274	135	63	.	.	PUNCT
ejpam-6274	136	1	(	(	PUNCT
ejpam-6274	136	2	ii	ii	NOUN
ejpam-6274	136	3	)	)	PUNCT
ejpam-6274	136	4	for	for	ADP
ejpam-6274	136	5	p+	p+	NOUN
ejpam-6274	136	6	<	<	X
ejpam-6274	136	7	∞	∞	PROPN
ejpam-6274	136	8	,	,	PUNCT
ejpam-6274	136	9	the	the	DET
ejpam-6274	136	10	grand	grand	ADJ
ejpam-6274	136	11	variable	variable	ADJ
ejpam-6274	136	12	herz	herz	ADJ
ejpam-6274	136	13	-	-	PUNCT
ejpam-6274	136	14	morrey	morrey	PROPN
ejpam-6274	136	15	type	type	NOUN
ejpam-6274	136	16	triebel	triebel	NOUN
ejpam-6274	136	17	-	-	PUNCT
ejpam-6274	136	18	lizorkin	lizorkin	NOUN
ejpam-6274	136	19	space	space	NOUN
ejpam-6274	136	20	is	be	AUX
ejpam-6274	136	21	defined	define	VERB
ejpam-6274	136	22	by	by	ADP
ejpam-6274	136	23	mk̇	mk̇	NUM
ejpam-6274	136	24	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	136	25	λ	λ	NOUN
ejpam-6274	136	26	,	,	PUNCT
ejpam-6274	136	27	p	p	X
ejpam-6274	136	28	(	(	PUNCT
ejpam-6274	136	29	·	·	PUNCT
ejpam-6274	136	30	)	)	PUNCT
ejpam-6274	137	1	f	f	PROPN
ejpam-6274	137	2	s	s	PROPN
ejpam-6274	137	3	κ	κ	X
ejpam-6274	137	4	(	(	PUNCT
ejpam-6274	137	5	rn	rn	NOUN
ejpam-6274	137	6	)	)	PUNCT
ejpam-6274	137	7	:	:	PUNCT
ejpam-6274	137	8	=	=	X
ejpam-6274	137	9	{	{	PUNCT
ejpam-6274	137	10	g	g	PROPN
ejpam-6274	137	11	∈	∈	PROPN
ejpam-6274	137	12	s	s	PART
ejpam-6274	137	13	′	′	NUM
ejpam-6274	137	14	(	(	PUNCT
ejpam-6274	137	15	rn	rn	NOUN
ejpam-6274	137	16	)	)	PUNCT
ejpam-6274	137	17	:	:	PUNCT
ejpam-6274	138	1	∥g∥	∥g∥	PROPN
ejpam-6274	138	2	mk̇	mk̇	NUM
ejpam-6274	138	3	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	138	4	λ	λ	PROPN
ejpam-6274	138	5	,	,	PUNCT
ejpam-6274	138	6	p	p	X
ejpam-6274	138	7	(	(	PUNCT
ejpam-6274	138	8	·	·	PUNCT
ejpam-6274	138	9	)	)	PUNCT
ejpam-6274	138	10	(	(	PUNCT
ejpam-6274	138	11	ℓκ	ℓκ	ADV
ejpam-6274	138	12	)	)	PUNCT
ejpam-6274	138	13	<	<	X
ejpam-6274	138	14	∞	∞	PROPN
ejpam-6274	138	15	}	}	PUNCT
ejpam-6274	138	16	,	,	PUNCT
ejpam-6274	138	17	where	where	SCONJ
ejpam-6274	138	18	∥g∥	∥g∥	PROPN
ejpam-6274	138	19	mk̇	mk̇	NUM
ejpam-6274	138	20	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	138	21	λ	λ	NOUN
ejpam-6274	138	22	,	,	PUNCT
ejpam-6274	138	23	p	p	X
ejpam-6274	138	24	(	(	PUNCT
ejpam-6274	138	25	·	·	PUNCT
ejpam-6274	138	26	)	)	PUNCT
ejpam-6274	139	1	f	f	PROPN
ejpam-6274	139	2	s	s	X
ejpam-6274	139	3	κ	κ	X
ejpam-6274	139	4	:	:	PUNCT
ejpam-6274	139	5	=	=	SYM
ejpam-6274	139	6	∥∥∥{2sjφ∨	∥∥∥{2sjφ∨	PROPN
ejpam-6274	139	7	j	j	PROPN
ejpam-6274	139	8	∗	∗	VERB
ejpam-6274	139	9	g	g	PROPN
ejpam-6274	139	10	}	}	PUNCT
ejpam-6274	139	11	∞	∞	NUM
ejpam-6274	140	1	j=0	j=0	PROPN
ejpam-6274	140	2	∥∥∥	∥∥∥	PROPN
ejpam-6274	140	3	mk̇	mk̇	PRON
ejpam-6274	140	4	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	140	5	λ	λ	NOUN
ejpam-6274	140	6	,	,	PUNCT
ejpam-6274	140	7	p	p	X
ejpam-6274	140	8	(	(	PUNCT
ejpam-6274	140	9	·	·	PUNCT
ejpam-6274	140	10	)	)	PUNCT
ejpam-6274	140	11	(	(	PUNCT
ejpam-6274	140	12	ℓκ	ℓκ	ADV
ejpam-6274	140	13	)	)	PUNCT
ejpam-6274	140	14	.	.	PUNCT
ejpam-6274	141	1	here	here	ADV
ejpam-6274	141	2	we	we	PRON
ejpam-6274	141	3	denote	denote	VERB
ejpam-6274	141	4	respectively	respectively	ADV
ejpam-6274	141	5	by	by	ADP
ejpam-6274	141	6	ℓκ	ℓκ	PROPN
ejpam-6274	141	7	(	(	PUNCT
ejpam-6274	141	8	mk̇	mk̇	NUM
ejpam-6274	141	9	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	141	10	λ	λ	NOUN
ejpam-6274	141	11	,	,	PUNCT
ejpam-6274	141	12	p	p	X
ejpam-6274	141	13	(	(	PUNCT
ejpam-6274	141	14	·	·	PUNCT
ejpam-6274	141	15	)	)	PUNCT
ejpam-6274	141	16	)	)	PUNCT
ejpam-6274	141	17	and	and	CCONJ
ejpam-6274	141	18	mk̇	mk̇	NOUN
ejpam-6274	141	19	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	141	20	λ	λ	NOUN
ejpam-6274	141	21	,	,	PUNCT
ejpam-6274	141	22	p	p	X
ejpam-6274	141	23	(	(	PUNCT
ejpam-6274	141	24	·	·	PUNCT
ejpam-6274	141	25	)	)	PUNCT
ejpam-6274	141	26	(	(	PUNCT
ejpam-6274	141	27	ℓκ	ℓκ	ADV
ejpam-6274	141	28	)	)	PUNCT
ejpam-6274	141	29	the	the	DET
ejpam-6274	141	30	spaces	space	NOUN
ejpam-6274	141	31	of	of	ADP
ejpam-6274	141	32	all	all	DET
ejpam-6274	141	33	sequences	sequence	NOUN
ejpam-6274	141	34	{	{	PUNCT
ejpam-6274	141	35	gj	gj	NOUN
ejpam-6274	141	36	}	}	PUNCT
ejpam-6274	141	37	of	of	ADP
ejpam-6274	141	38	measurable	measurable	ADJ
ejpam-6274	141	39	functions	function	NOUN
ejpam-6274	141	40	on	on	ADP
ejpam-6274	141	41	rn	rn	PROPN
ejpam-6274	141	42	with	with	ADP
ejpam-6274	141	43	finite	finite	PROPN
ejpam-6274	141	44	quasi	quasi	NOUN
ejpam-6274	141	45	-	-	NOUN
ejpam-6274	141	46	norms	norm	NOUN
ejpam-6274	141	47	∥∥∥{gj}∞j=0	∥∥∥{gj}∞j=0	NOUN
ejpam-6274	141	48	∥∥∥	∥∥∥	PROPN
ejpam-6274	141	49	ℓκ	ℓκ	ADP
ejpam-6274	141	50	(	(	PUNCT
ejpam-6274	141	51	mk̇	mk̇	NUM
ejpam-6274	141	52	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	141	53	λ	λ	NOUN
ejpam-6274	141	54	,	,	PUNCT
ejpam-6274	141	55	p	p	X
ejpam-6274	141	56	(	(	PUNCT
ejpam-6274	141	57	·	·	PUNCT
ejpam-6274	141	58	)	)	PUNCT
ejpam-6274	141	59	)	)	PUNCT
ejpam-6274	141	60	:	:	PUNCT
ejpam-6274	142	1	=	=	PUNCT
ejpam-6274	142	2			PROPN
ejpam-6274	142	3	∞∑	∞∑	NUM
ejpam-6274	142	4	j=0	j=0	PROPN
ejpam-6274	142	5	∥gj∥κmk̇	∥gj∥κmk̇	PROPN
ejpam-6274	142	6	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	142	7	λ	λ	PROPN
ejpam-6274	142	8	,	,	PUNCT
ejpam-6274	142	9	p	p	X
ejpam-6274	142	10	(	(	PUNCT
ejpam-6274	142	11	·	·	PUNCT
ejpam-6274	142	12	)	)	PUNCT
ejpam-6274	142	13			PROPN
ejpam-6274	142	14	1	1	NUM
ejpam-6274	142	15	κ	κ	NOUN
ejpam-6274	142	16	,	,	PUNCT
ejpam-6274	142	17	and	and	CCONJ
ejpam-6274	142	18	∥∥∥{gj}∞j=0	∥∥∥{gj}∞j=0	X
ejpam-6274	142	19	∥∥∥	∥∥∥	NUM
ejpam-6274	142	20	mk̇	mk̇	NUM
ejpam-6274	142	21	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	142	22	λ	λ	NOUN
ejpam-6274	142	23	,	,	PUNCT
ejpam-6274	142	24	p	p	X
ejpam-6274	142	25	(	(	PUNCT
ejpam-6274	142	26	·	·	PUNCT
ejpam-6274	142	27	)	)	PUNCT
ejpam-6274	142	28	(	(	PUNCT
ejpam-6274	142	29	ℓκ	ℓκ	ADV
ejpam-6274	142	30	)	)	PUNCT
ejpam-6274	142	31	:	:	PUNCT
ejpam-6274	143	1	=	=	X
ejpam-6274	143	2	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	144	1			PROPN
ejpam-6274	144	2	∞∑	∞∑	NUM
ejpam-6274	144	3	j=0	j=0	PROPN
ejpam-6274	144	4	|gj	|gj	ADV
ejpam-6274	144	5	|κ	|κ	ADJ
ejpam-6274	144	6	1	1	NOUN
ejpam-6274	144	7	/	/	SYM
ejpam-6274	144	8	κ	κ	NOUN
ejpam-6274	144	9	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	144	10	mk̇	mk̇	NUM
ejpam-6274	144	11	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	144	12	λ	λ	NOUN
ejpam-6274	144	13	,	,	PUNCT
ejpam-6274	144	14	p	p	X
ejpam-6274	144	15	(	(	PUNCT
ejpam-6274	144	16	·	·	PUNCT
ejpam-6274	144	17	)	)	PUNCT
ejpam-6274	144	18	.	.	PUNCT
ejpam-6274	145	1	let	let	VERB
ejpam-6274	145	2	s	s	PRON
ejpam-6274	145	3	⩾	⩾	VERB
ejpam-6274	145	4	0	0	NUM
ejpam-6274	145	5	,	,	PUNCT
ejpam-6274	145	6	ε	ε	PROPN
ejpam-6274	145	7	>	>	PUNCT
ejpam-6274	145	8	0	0	NUM
ejpam-6274	145	9	and	and	CCONJ
ejpam-6274	145	10	ψ0	ψ0	ADJ
ejpam-6274	145	11	,	,	PUNCT
ejpam-6274	145	12	ψ	ψ	ADP
ejpam-6274	145	13	∈	∈	PROPN
ejpam-6274	145	14	s	s	X
ejpam-6274	145	15	(	(	PUNCT
ejpam-6274	145	16	rn	rn	NOUN
ejpam-6274	145	17	)	)	PUNCT
ejpam-6274	145	18	such	such	ADJ
ejpam-6274	145	19	that	that	DET
ejpam-6274	145	20	∣∣∣ψ̂0(ϱ	∣∣∣ψ̂0(ϱ	NOUN
ejpam-6274	145	21	)	)	PUNCT
ejpam-6274	145	22	∣∣∣	∣∣∣	ADP
ejpam-6274	145	23	>	>	X
ejpam-6274	145	24	0	0	PUNCT
ejpam-6274	146	1	on	on	ADP
ejpam-6274	146	2	{	{	PUNCT
ejpam-6274	146	3	|ϱ|	|ϱ|	PROPN
ejpam-6274	146	4	<	<	X
ejpam-6274	146	5	2ε	2ε	NUM
ejpam-6274	146	6	}	}	PUNCT
ejpam-6274	146	7	(	(	PUNCT
ejpam-6274	146	8	2.8	2.8	NUM
ejpam-6274	146	9	)	)	PUNCT
ejpam-6274	146	10	|ψ̂(ϱ)|	|ψ̂(ϱ)|	PROPN
ejpam-6274	146	11	>	>	X
ejpam-6274	146	12	0	0	PUNCT
ejpam-6274	147	1	on	on	ADP
ejpam-6274	147	2	{	{	PUNCT
ejpam-6274	147	3	ε	ε	PROPN
ejpam-6274	147	4	2	2	NUM
ejpam-6274	147	5	<	<	X
ejpam-6274	147	6	|ϱ|	|ϱ|	PROPN
ejpam-6274	147	7	<	<	X
ejpam-6274	147	8	2ε	2ε	PROPN
ejpam-6274	147	9	}	}	PUNCT
ejpam-6274	147	10	(	(	PUNCT
ejpam-6274	147	11	2.9	2.9	NUM
ejpam-6274	147	12	)	)	PUNCT
ejpam-6274	147	13	and	and	CCONJ
ejpam-6274	147	14	dτ	dτ	NOUN
ejpam-6274	147	15	ψ̂(0	ψ̂(0	NOUN
ejpam-6274	147	16	)	)	PUNCT
ejpam-6274	147	17	=	=	SYM
ejpam-6274	147	18	0	0	NUM
ejpam-6274	147	19	,	,	PUNCT
ejpam-6274	147	20	for	for	ADP
ejpam-6274	147	21	all	all	DET
ejpam-6274	147	22	|τ	|τ	ADJ
ejpam-6274	147	23	|	|	ADV
ejpam-6274	147	24	⩽	⩽	PROPN
ejpam-6274	147	25	s	s	AUX
ejpam-6274	147	26	.	.	PUNCT
ejpam-6274	148	1	(	(	PUNCT
ejpam-6274	148	2	2.10	2.10	NUM
ejpam-6274	148	3	)	)	PUNCT
ejpam-6274	148	4	here	here	ADV
ejpam-6274	148	5	,	,	PUNCT
ejpam-6274	148	6	(	(	PUNCT
ejpam-6274	148	7	2.8	2.8	NUM
ejpam-6274	148	8	)	)	PUNCT
ejpam-6274	148	9	and	and	CCONJ
ejpam-6274	148	10	(	(	PUNCT
ejpam-6274	148	11	2.9	2.9	NUM
ejpam-6274	148	12	)	)	PUNCT
ejpam-6274	148	13	are	be	AUX
ejpam-6274	148	14	tauberian	tauberian	ADJ
ejpam-6274	148	15	conditions	condition	NOUN
ejpam-6274	148	16	,	,	PUNCT
ejpam-6274	148	17	while	while	SCONJ
ejpam-6274	148	18	(	(	PUNCT
ejpam-6274	148	19	2.10	2.10	NUM
ejpam-6274	148	20	)	)	PUNCT
ejpam-6274	148	21	expresses	express	VERB
ejpam-6274	148	22	the	the	DET
ejpam-6274	148	23	vanishing	vanish	VERB
ejpam-6274	148	24	moment	moment	NOUN
ejpam-6274	148	25	conditions	condition	NOUN
ejpam-6274	148	26	in	in	ADP
ejpam-6274	148	27	ψ	ψ	X
ejpam-6274	148	28	.	.	PUNCT
ejpam-6274	149	1	in	in	ADP
ejpam-6274	149	2	[	[	X
ejpam-6274	149	3	58	58	NUM
ejpam-6274	149	4	]	]	PUNCT
ejpam-6274	149	5	,	,	PUNCT
ejpam-6274	149	6	j.	j.	PROPN
ejpam-6274	149	7	peetre	peetre	PROPN
ejpam-6274	149	8	introduced	introduce	VERB
ejpam-6274	149	9	the	the	DET
ejpam-6274	149	10	classical	classical	ADJ
ejpam-6274	149	11	peetre	peetre	NOUN
ejpam-6274	149	12	’s	’s	PART
ejpam-6274	149	13	maximal	maximal	ADJ
ejpam-6274	149	14	operator	operator	NOUN
ejpam-6274	149	15	:	:	PUNCT
ejpam-6274	149	16	m.	m.	NOUN
ejpam-6274	149	17	sultan	sultan	PROPN
ejpam-6274	149	18	,	,	PUNCT
ejpam-6274	149	19	b.	b.	PROPN
ejpam-6274	149	20	sultan	sultan	PROPN
ejpam-6274	149	21	,	,	PUNCT
ejpam-6274	149	22	i	i	PROPN
ejpam-6274	149	23	-	-	PUNCT
ejpam-6274	149	24	l.	l.	PROPN
ejpam-6274	149	25	popa	popa	PROPN
ejpam-6274	149	26	/	/	SYM
ejpam-6274	149	27	eur	eur	PROPN
ejpam-6274	149	28	.	.	PUNCT
ejpam-6274	150	1	j.	j.	PROPN
ejpam-6274	150	2	pure	pure	PROPN
ejpam-6274	150	3	appl	appl	PROPN
ejpam-6274	150	4	.	.	PROPN
ejpam-6274	150	5	math	math	PROPN
ejpam-6274	150	6	,	,	PUNCT
ejpam-6274	150	7	18	18	NUM
ejpam-6274	150	8	(	(	PUNCT
ejpam-6274	150	9	3	3	NUM
ejpam-6274	150	10	)	)	PUNCT
ejpam-6274	150	11	(	(	PUNCT
ejpam-6274	150	12	2025	2025	NUM
ejpam-6274	150	13	)	)	PUNCT
ejpam-6274	150	14	,	,	PUNCT
ejpam-6274	150	15	6274	6274	NUM
ejpam-6274	150	16	8	8	NUM
ejpam-6274	150	17	of	of	ADP
ejpam-6274	150	18	33	33	NUM
ejpam-6274	150	19	let	let	VERB
ejpam-6274	150	20	a	a	DET
ejpam-6274	150	21	tempered	temper	VERB
ejpam-6274	150	22	distribution	distribution	NOUN
ejpam-6274	150	23	g	g	PROPN
ejpam-6274	150	24	∈	∈	PROPN
ejpam-6274	150	25	s	s	PART
ejpam-6274	150	26	′	′	NUM
ejpam-6274	150	27	(	(	PUNCT
ejpam-6274	150	28	rn	rn	PROPN
ejpam-6274	150	29	)	)	PUNCT
ejpam-6274	150	30	,	,	PUNCT
ejpam-6274	150	31	a	a	DET
ejpam-6274	150	32	>	>	X
ejpam-6274	150	33	0	0	NUM
ejpam-6274	150	34	,	,	PUNCT
ejpam-6274	150	35	and	and	CCONJ
ejpam-6274	150	36	{	{	PUNCT
ejpam-6274	150	37	ξℓ}ℓ∈z	ξℓ}ℓ∈z	NUM
ejpam-6274	150	38	⊂	⊂	PROPN
ejpam-6274	150	39	s	s	X
ejpam-6274	150	40	(	(	PUNCT
ejpam-6274	150	41	rn	rn	NOUN
ejpam-6274	150	42	)	)	PUNCT
ejpam-6274	150	43	.	.	PUNCT
ejpam-6274	151	1	then	then	ADV
ejpam-6274	151	2	system	system	NOUN
ejpam-6274	151	3	of	of	ADP
ejpam-6274	151	4	maximal	maximal	ADJ
ejpam-6274	151	5	functions	function	NOUN
ejpam-6274	151	6	are	be	AUX
ejpam-6274	151	7	given	give	VERB
ejpam-6274	151	8	as	as	ADP
ejpam-6274	151	9	(	(	PUNCT
ejpam-6274	151	10	ξ∗	ξ∗	PROPN
ejpam-6274	151	11	ℓ	ℓ	PROPN
ejpam-6274	151	12	)	)	PUNCT
ejpam-6274	151	13	a	a	DET
ejpam-6274	151	14	g(x	g(x	NOUN
ejpam-6274	151	15	)	)	PUNCT
ejpam-6274	151	16	:	:	PUNCT
ejpam-6274	152	1	=	=	SYM
ejpam-6274	152	2	sup	sup	NOUN
ejpam-6274	152	3	y∈rn	y∈rn	NOUN
ejpam-6274	152	4	|ξℓ	|ξℓ	NOUN
ejpam-6274	152	5	∗	∗	NOUN
ejpam-6274	153	1	g(x+	g(x+	SCONJ
ejpam-6274	153	2	y)|	y)|	X
ejpam-6274	153	3	(	(	PUNCT
ejpam-6274	153	4	1	1	NUM
ejpam-6274	153	5	+	+	CCONJ
ejpam-6274	153	6	2k|y|)a	2k|y|)a	NUM
ejpam-6274	153	7	,	,	PUNCT
ejpam-6274	153	8	x	x	PROPN
ejpam-6274	153	9	∈	∈	PROPN
ejpam-6274	153	10	rn	rn	PROPN
ejpam-6274	153	11	,	,	PUNCT
ejpam-6274	153	12	ℓ	ℓ	PROPN
ejpam-6274	153	13	∈	∈	PROPN
ejpam-6274	153	14	z.	z.	PROPN
ejpam-6274	153	15	since	since	SCONJ
ejpam-6274	153	16	ξℓ	ξℓ	ADP
ejpam-6274	153	17	∗	∗	PROPN
ejpam-6274	153	18	g(y	g(y	NOUN
ejpam-6274	153	19	)	)	PUNCT
ejpam-6274	153	20	makes	make	VERB
ejpam-6274	153	21	sense	sense	NOUN
ejpam-6274	153	22	pointwise	pointwise	PRON
ejpam-6274	153	23	,	,	PUNCT
ejpam-6274	153	24	everything	everything	PRON
ejpam-6274	153	25	is	be	AUX
ejpam-6274	153	26	well	well	ADV
ejpam-6274	153	27	defined	define	VERB
ejpam-6274	153	28	.	.	PUNCT
ejpam-6274	154	1	we	we	PRON
ejpam-6274	154	2	will	will	AUX
ejpam-6274	154	3	often	often	ADV
ejpam-6274	154	4	use	use	VERB
ejpam-6274	154	5	dilates	dilate	NOUN
ejpam-6274	154	6	ξ′	ξ′	ADJ
ejpam-6274	154	7	ℓ(x	ℓ(x	NOUN
ejpam-6274	154	8	)	)	PUNCT
ejpam-6274	154	9	=	=	SYM
ejpam-6274	155	1	2knξ	2knξ	NUM
ejpam-6274	155	2	(	(	PUNCT
ejpam-6274	155	3	2kx	2kx	NOUN
ejpam-6274	155	4	)	)	PUNCT
ejpam-6274	155	5	of	of	ADP
ejpam-6274	155	6	a	a	DET
ejpam-6274	155	7	fixed	fix	VERB
ejpam-6274	155	8	function	function	NOUN
ejpam-6274	155	9	ξ	ξ	PROPN
ejpam-6274	155	10	∈	∈	PROPN
ejpam-6274	155	11	s	s	X
ejpam-6274	155	12	(	(	PUNCT
ejpam-6274	155	13	rn	rn	NOUN
ejpam-6274	155	14	)	)	PUNCT
ejpam-6274	155	15	,	,	PUNCT
ejpam-6274	155	16	where	where	SCONJ
ejpam-6274	155	17	ξ0(x	ξ0(x	NOUN
ejpam-6274	155	18	)	)	PUNCT
ejpam-6274	155	19	might	might	AUX
ejpam-6274	155	20	be	be	AUX
ejpam-6274	155	21	given	give	VERB
ejpam-6274	155	22	by	by	ADP
ejpam-6274	155	23	a	a	DET
ejpam-6274	155	24	separate	separate	ADJ
ejpam-6274	155	25	function	function	NOUN
ejpam-6274	155	26	.	.	PUNCT
ejpam-6274	156	1	continuous	continuous	ADJ
ejpam-6274	156	2	dilates	dilate	NOUN
ejpam-6274	156	3	are	be	AUX
ejpam-6274	156	4	also	also	ADV
ejpam-6274	156	5	needed	need	VERB
ejpam-6274	156	6	.	.	PUNCT
ejpam-6274	157	1	if	if	SCONJ
ejpam-6274	157	2	ξt	ξt	X
ejpam-6274	157	3	:	:	PUNCT
ejpam-6274	157	4	=	=	SYM
ejpam-6274	157	5	t−nξ	t−nξ	PROPN
ejpam-6274	157	6	(	(	PUNCT
ejpam-6274	157	7	t−1	t−1	NOUN
ejpam-6274	157	8	·	·	PUNCT
ejpam-6274	157	9	)	)	PUNCT
ejpam-6274	157	10	.	.	PUNCT
ejpam-6274	158	1	then	then	ADV
ejpam-6274	158	2	ψ∗	ψ∗	PROPN
ejpam-6274	158	3	t	t	PROPN
ejpam-6274	158	4	,	,	PUNCT
ejpam-6274	158	5	ag(x	ag(x	ADV
ejpam-6274	158	6	)	)	PUNCT
ejpam-6274	158	7	:	:	PUNCT
ejpam-6274	159	1	=	=	SYM
ejpam-6274	159	2	sup	sup	NOUN
ejpam-6274	159	3	y∈rn	y∈rn	NOUN
ejpam-6274	159	4	|ξt	|ξt	NOUN
ejpam-6274	159	5	∗	∗	NOUN
ejpam-6274	160	1	g(x+	g(x+	INTJ
ejpam-6274	160	2	y)|	y)|	NOUN
ejpam-6274	160	3	(	(	PUNCT
ejpam-6274	160	4	1	1	NUM
ejpam-6274	160	5	+	+	CCONJ
ejpam-6274	160	6	|y|	|y|	PROPN
ejpam-6274	160	7	t	t	NOUN
ejpam-6274	160	8	)	)	PUNCT
ejpam-6274	160	9	a	a	DET
ejpam-6274	160	10	x	x	PROPN
ejpam-6274	160	11	∈	∈	PROPN
ejpam-6274	160	12	rn	rn	PROPN
ejpam-6274	160	13	,	,	PUNCT
ejpam-6274	160	14	t	t	X
ejpam-6274	160	15	>	>	X
ejpam-6274	160	16	0	0	X
ejpam-6274	160	17	.	.	PUNCT
ejpam-6274	160	18	theorem	theorem	NOUN
ejpam-6274	160	19	12	12	NUM
ejpam-6274	160	20	.	.	PUNCT
ejpam-6274	161	1	if	if	SCONJ
ejpam-6274	161	2	κ	κ	VERB
ejpam-6274	161	3	,	,	PUNCT
ejpam-6274	161	4	q	q	PROPN
ejpam-6274	161	5	∈	∈	PROPN
ejpam-6274	161	6	(	(	PUNCT
ejpam-6274	161	7	0,∞	0,∞	NOUN
ejpam-6274	161	8	]	]	PUNCT
ejpam-6274	161	9	,	,	PUNCT
ejpam-6274	161	10	ω	ω	X
ejpam-6274	161	11	>	>	X
ejpam-6274	161	12	0	0	NUM
ejpam-6274	161	13	,	,	PUNCT
ejpam-6274	161	14	s	s	NOUN
ejpam-6274	161	15	∈	∈	NOUN
ejpam-6274	161	16	r	r	NOUN
ejpam-6274	161	17	with	with	ADP
ejpam-6274	161	18	s	s	PRON
ejpam-6274	161	19	<	<	X
ejpam-6274	161	20	s	s	X
ejpam-6274	161	21	+	+	NOUN
ejpam-6274	161	22	1	1	NUM
ejpam-6274	161	23	,	,	PUNCT
ejpam-6274	161	24	and	and	CCONJ
ejpam-6274	161	25	η	η	PROPN
ejpam-6274	161	26	,	,	PUNCT
ejpam-6274	161	27	q	q	X
ejpam-6274	161	28	,	,	PUNCT
ejpam-6274	161	29	p	p	X
ejpam-6274	161	30	,	,	PUNCT
ejpam-6274	161	31	are	be	AUX
ejpam-6274	161	32	the	the	DET
ejpam-6274	161	33	same	same	ADJ
ejpam-6274	161	34	as	as	SCONJ
ejpam-6274	161	35	given	give	VERB
ejpam-6274	161	36	in	in	ADP
ejpam-6274	161	37	lemma	lemma	PROPN
ejpam-6274	161	38	2.9	2.9	NUM
ejpam-6274	161	39	.	.	PUNCT
ejpam-6274	162	1	let	let	VERB
ejpam-6274	162	2	p(·)/p0	p(·)/p0	PROPN
ejpam-6274	162	3	∈	∈	PROPN
ejpam-6274	162	4	b	b	PROPN
ejpam-6274	162	5	(	(	PUNCT
ejpam-6274	162	6	rn	rn	NOUN
ejpam-6274	162	7	)	)	PUNCT
ejpam-6274	162	8	with	with	ADP
ejpam-6274	162	9	p0	p0	NOUN
ejpam-6274	162	10	<	<	X
ejpam-6274	162	11	min	min	NOUN
ejpam-6274	162	12	(	(	PUNCT
ejpam-6274	162	13	p−	p−	NOUN
ejpam-6274	162	14	,	,	PUNCT
ejpam-6274	162	15	1	1	NUM
ejpam-6274	162	16	)	)	PUNCT
ejpam-6274	162	17	.	.	PUNCT
ejpam-6274	163	1	let	let	VERB
ejpam-6274	163	2	θ0,θ	θ0,θ	PROPN
ejpam-6274	163	3	∈	∈	NOUN
ejpam-6274	163	4	s	s	X
ejpam-6274	163	5	(	(	PUNCT
ejpam-6274	163	6	rn	rn	NOUN
ejpam-6274	163	7	)	)	PUNCT
ejpam-6274	163	8	be	be	AUX
ejpam-6274	163	9	given	give	VERB
ejpam-6274	163	10	by	by	ADP
ejpam-6274	163	11	(	(	PUNCT
ejpam-6274	163	12	2.8	2.8	NUM
ejpam-6274	163	13	)	)	PUNCT
ejpam-6274	163	14	and	and	CCONJ
ejpam-6274	163	15	(	(	PUNCT
ejpam-6274	163	16	2.9	2.9	NUM
ejpam-6274	163	17	)	)	PUNCT
ejpam-6274	163	18	,	,	PUNCT
ejpam-6274	163	19	respectively	respectively	ADV
ejpam-6274	163	20	.	.	PUNCT
ejpam-6274	164	1	then	then	ADV
ejpam-6274	164	2	(	(	PUNCT
ejpam-6274	164	3	i	i	NOUN
ejpam-6274	164	4	)	)	PUNCT
ejpam-6274	164	5	for	for	ADP
ejpam-6274	164	6	a	a	DET
ejpam-6274	164	7	>	>	X
ejpam-6274	164	8	n	n	CCONJ
ejpam-6274	164	9	/	/	SYM
ejpam-6274	164	10	p0	p0	NOUN
ejpam-6274	164	11	,	,	PUNCT
ejpam-6274	164	12	then	then	ADV
ejpam-6274	164	13	the	the	DET
ejpam-6274	164	14	space	space	NOUN
ejpam-6274	164	15	mk̇	mk̇	PRON
ejpam-6274	164	16	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	164	17	λ	λ	NOUN
ejpam-6274	164	18	,	,	PUNCT
ejpam-6274	164	19	p	p	X
ejpam-6274	164	20	(	(	PUNCT
ejpam-6274	164	21	·	·	PUNCT
ejpam-6274	164	22	)	)	PUNCT
ejpam-6274	164	23	bs	bs	PROPN
ejpam-6274	164	24	κ	κ	PROPN
ejpam-6274	164	25	(	(	PUNCT
ejpam-6274	164	26	rn	rn	NOUN
ejpam-6274	164	27	)	)	PUNCT
ejpam-6274	164	28	can	can	AUX
ejpam-6274	164	29	be	be	AUX
ejpam-6274	164	30	characterized	characterize	VERB
ejpam-6274	164	31	by	by	ADP
ejpam-6274	164	32	mk̇	mk̇	NUM
ejpam-6274	164	33	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	164	34	λ	λ	NOUN
ejpam-6274	164	35	,	,	PUNCT
ejpam-6274	164	36	p	p	X
ejpam-6274	164	37	(	(	PUNCT
ejpam-6274	164	38	·	·	PUNCT
ejpam-6274	164	39	)	)	PUNCT
ejpam-6274	164	40	bs	bs	PROPN
ejpam-6274	164	41	κ	κ	PROPN
ejpam-6274	164	42	(	(	PUNCT
ejpam-6274	164	43	rn	rn	NOUN
ejpam-6274	164	44	)	)	PUNCT
ejpam-6274	164	45	=	=	PRON
ejpam-6274	164	46	{	{	PUNCT
ejpam-6274	164	47	g	g	PROPN
ejpam-6274	164	48	∈	∈	PROPN
ejpam-6274	164	49	s	s	PART
ejpam-6274	164	50	′	′	NUM
ejpam-6274	164	51	(	(	PUNCT
ejpam-6274	164	52	rn	rn	NOUN
ejpam-6274	164	53	)	)	PUNCT
ejpam-6274	164	54	:	:	PUNCT
ejpam-6274	165	1	∥g∥(i	∥g∥(i	X
ejpam-6274	165	2	)	)	PUNCT
ejpam-6274	165	3	mk̇	mk̇	NOUN
ejpam-6274	165	4	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	165	5	λ	λ	NOUN
ejpam-6274	165	6	,	,	PUNCT
ejpam-6274	165	7	p	p	X
ejpam-6274	165	8	(	(	PUNCT
ejpam-6274	165	9	·	·	PUNCT
ejpam-6274	165	10	)	)	PUNCT
ejpam-6274	165	11	bs	bs	ADP
ejpam-6274	165	12	κ	κ	X
ejpam-6274	165	13	<	<	X
ejpam-6274	165	14	∞	∞	NUM
ejpam-6274	165	15	}	}	PUNCT
ejpam-6274	165	16	,	,	PUNCT
ejpam-6274	165	17	i	i	PRON
ejpam-6274	165	18	=	=	NOUN
ejpam-6274	165	19	1	1	NUM
ejpam-6274	165	20	,	,	PUNCT
ejpam-6274	165	21	·	·	PUNCT
ejpam-6274	165	22	·	·	PUNCT
ejpam-6274	165	23	·	·	PUNCT
ejpam-6274	165	24	,	,	PUNCT
ejpam-6274	165	25	4	4	NUM
ejpam-6274	165	26	where	where	SCONJ
ejpam-6274	165	27	∥g∥(1	∥g∥(1	PROPN
ejpam-6274	165	28	)	)	PUNCT
ejpam-6274	166	1	mk̇	mk̇	NUM
ejpam-6274	166	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	166	3	λ	λ	NOUN
ejpam-6274	166	4	,	,	PUNCT
ejpam-6274	166	5	p	p	X
ejpam-6274	166	6	(	(	PUNCT
ejpam-6274	166	7	·	·	PUNCT
ejpam-6274	166	8	)	)	PUNCT
ejpam-6274	166	9	bs	bs	ADP
ejpam-6274	166	10	κ	κ	NOUN
ejpam-6274	166	11	:	:	PUNCT
ejpam-6274	166	12	=	=	SYM
ejpam-6274	166	13	∥φ0	∥φ0	NOUN
ejpam-6274	166	14	∗	∗	NOUN
ejpam-6274	166	15	g∥mk̇	g∥mk̇	NOUN
ejpam-6274	166	16	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	166	17	λ	λ	PROPN
ejpam-6274	166	18	,	,	PUNCT
ejpam-6274	166	19	p	p	X
ejpam-6274	166	20	(	(	PUNCT
ejpam-6274	166	21	·	·	PUNCT
ejpam-6274	166	22	)	)	PUNCT
ejpam-6274	167	1	+	+	CCONJ
ejpam-6274	167	2	(	(	PUNCT
ejpam-6274	167	3	∫	∫	PROPN
ejpam-6274	167	4	1	1	NUM
ejpam-6274	167	5	0	0	NUM
ejpam-6274	167	6	t−sκ	t−sκ	NOUN
ejpam-6274	167	7	∥φt	∥φt	PART
ejpam-6274	167	8	∗	∗	NOUN
ejpam-6274	167	9	g∥κmk̇	g∥κmk̇	PROPN
ejpam-6274	167	10	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	167	11	λ	λ	NOUN
ejpam-6274	167	12	,	,	PUNCT
ejpam-6274	167	13	p	p	X
ejpam-6274	167	14	(	(	PUNCT
ejpam-6274	167	15	·	·	PUNCT
ejpam-6274	167	16	)	)	PUNCT
ejpam-6274	167	17	dt	dt	X
ejpam-6274	168	1	t	t	PROPN
ejpam-6274	168	2	)	)	PUNCT
ejpam-6274	168	3	1	1	NUM
ejpam-6274	168	4	/	/	SYM
ejpam-6274	168	5	κ	κ	PRON
ejpam-6274	168	6	∥g∥(2	∥g∥(2	PROPN
ejpam-6274	168	7	)	)	PUNCT
ejpam-6274	168	8	mk̇	mk̇	NOUN
ejpam-6274	168	9	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	168	10	λ	λ	NOUN
ejpam-6274	168	11	,	,	PUNCT
ejpam-6274	168	12	p	p	X
ejpam-6274	168	13	(	(	PUNCT
ejpam-6274	168	14	·	·	PUNCT
ejpam-6274	168	15	)	)	PUNCT
ejpam-6274	168	16	bs	bs	ADP
ejpam-6274	168	17	κ	κ	NOUN
ejpam-6274	168	18	:	:	PUNCT
ejpam-6274	168	19	=	=	SYM
ejpam-6274	168	20	∥(φ∗	∥(φ∗	PROPN
ejpam-6274	168	21	0g)a∥mk̇	0g)a∥mk̇	NOUN
ejpam-6274	168	22	η(·),λ	η(·),λ	VERB
ejpam-6274	168	23	q	q	NOUN
ejpam-6274	168	24	,	,	PUNCT
ejpam-6274	168	25	p	p	X
ejpam-6274	169	1	+	+	X
ejpam-6274	169	2	(	(	PUNCT
ejpam-6274	169	3	∫	∫	PROPN
ejpam-6274	169	4	1	1	NUM
ejpam-6274	169	5	0	0	NUM
ejpam-6274	169	6	t−sκ	t−sκ	NOUN
ejpam-6274	169	7	∥(φ∗	∥(φ∗	NOUN
ejpam-6274	169	8	t	t	PROPN
ejpam-6274	169	9	g)a∥	g)a∥	NOUN
ejpam-6274	169	10	κ	κ	ADP
ejpam-6274	169	11	mk̇	mk̇	NOUN
ejpam-6274	169	12	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	169	13	λ	λ	NOUN
ejpam-6274	169	14	,	,	PUNCT
ejpam-6274	169	15	p	p	X
ejpam-6274	169	16	(	(	PUNCT
ejpam-6274	169	17	·	·	PUNCT
ejpam-6274	169	18	)	)	PUNCT
ejpam-6274	169	19	dt	dt	X
ejpam-6274	170	1	t	t	PROPN
ejpam-6274	170	2	)	)	PUNCT
ejpam-6274	170	3	1	1	NUM
ejpam-6274	170	4	/	/	SYM
ejpam-6274	170	5	κ	κ	PRON
ejpam-6274	170	6	∥g∥(3	∥g∥(3	PROPN
ejpam-6274	170	7	)	)	PUNCT
ejpam-6274	170	8	mk̇	mk̇	NOUN
ejpam-6274	170	9	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	170	10	λ	λ	NOUN
ejpam-6274	170	11	,	,	PUNCT
ejpam-6274	170	12	p	p	X
ejpam-6274	170	13	(	(	PUNCT
ejpam-6274	170	14	·	·	PUNCT
ejpam-6274	170	15	)	)	PUNCT
ejpam-6274	170	16	bs	bs	ADP
ejpam-6274	170	17	κ	κ	NOUN
ejpam-6274	170	18	:	:	PUNCT
ejpam-6274	170	19	=	=	SYM
ejpam-6274	170	20	(	(	PUNCT
ejpam-6274	170	21	∞∑	∞∑	DET
ejpam-6274	170	22	k=0	k=0	PROPN
ejpam-6274	170	23	2skκ	2skκ	NUM
ejpam-6274	170	24	∥(φ∗	∥(φ∗	NOUN
ejpam-6274	170	25	kg)a∥	kg)a∥	NOUN
ejpam-6274	170	26	κ	κ	ADP
ejpam-6274	170	27	mk̇	mk̇	NOUN
ejpam-6274	170	28	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	170	29	λ	λ	NOUN
ejpam-6274	170	30	,	,	PUNCT
ejpam-6274	170	31	p	p	X
ejpam-6274	170	32	(	(	PUNCT
ejpam-6274	170	33	·	·	PUNCT
ejpam-6274	170	34	)	)	PUNCT
ejpam-6274	170	35	)	)	PUNCT
ejpam-6274	170	36	1	1	NUM
ejpam-6274	170	37	/	/	SYM
ejpam-6274	170	38	κ	κ	PRON
ejpam-6274	170	39	∥g∥(4	∥g∥(4	PROPN
ejpam-6274	170	40	)	)	PUNCT
ejpam-6274	170	41	mk̇	mk̇	NOUN
ejpam-6274	170	42	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	170	43	λ	λ	NOUN
ejpam-6274	170	44	,	,	PUNCT
ejpam-6274	170	45	p	p	X
ejpam-6274	170	46	(	(	PUNCT
ejpam-6274	170	47	·	·	PUNCT
ejpam-6274	170	48	)	)	PUNCT
ejpam-6274	170	49	bs	bs	ADP
ejpam-6274	170	50	κ	κ	NOUN
ejpam-6274	170	51	:	:	PUNCT
ejpam-6274	170	52	=	=	SYM
ejpam-6274	170	53	(	(	PUNCT
ejpam-6274	170	54	∞∑	∞∑	DET
ejpam-6274	170	55	k=0	k=0	PROPN
ejpam-6274	170	56	2skκ	2skκ	NUM
ejpam-6274	170	57	∥φk	∥φk	PART
ejpam-6274	170	58	∗	∗	NOUN
ejpam-6274	170	59	g∥κmk̇	g∥κmk̇	PROPN
ejpam-6274	170	60	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	170	61	λ	λ	NOUN
ejpam-6274	170	62	,	,	PUNCT
ejpam-6274	170	63	p	p	X
ejpam-6274	170	64	(	(	PUNCT
ejpam-6274	170	65	·	·	PUNCT
ejpam-6274	170	66	)	)	PUNCT
ejpam-6274	170	67	)	)	PUNCT
ejpam-6274	170	68	1	1	NUM
ejpam-6274	170	69	/	/	SYM
ejpam-6274	170	70	κ	κ	NOUN
ejpam-6274	170	71	.	.	PUNCT
ejpam-6274	171	1	then	then	ADV
ejpam-6274	171	2	,	,	PUNCT
ejpam-6274	171	3	{	{	PUNCT
ejpam-6274	171	4	∥	∥	X
ejpam-6274	171	5	·	·	PUNCT
ejpam-6274	171	6	∥(i	∥(i	ADJ
ejpam-6274	171	7	)	)	PUNCT
ejpam-6274	171	8	mk̇	mk̇	NOUN
ejpam-6274	171	9	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	171	10	λ	λ	NOUN
ejpam-6274	171	11	,	,	PUNCT
ejpam-6274	171	12	p	p	X
ejpam-6274	171	13	(	(	PUNCT
ejpam-6274	171	14	·	·	PUNCT
ejpam-6274	171	15	)	)	PUNCT
ejpam-6274	171	16	bs	bs	ADP
ejpam-6274	171	17	κ	κ	PROPN
ejpam-6274	171	18	}	}	PUNCT
ejpam-6274	171	19	4	4	NUM
ejpam-6274	171	20	i=1	i=1	NOUN
ejpam-6274	171	21	are	be	AUX
ejpam-6274	171	22	equivalent	equivalent	ADJ
ejpam-6274	171	23	.	.	PUNCT
ejpam-6274	172	1	m.	m.	NOUN
ejpam-6274	172	2	sultan	sultan	PROPN
ejpam-6274	172	3	,	,	PUNCT
ejpam-6274	172	4	b.	b.	PROPN
ejpam-6274	172	5	sultan	sultan	PROPN
ejpam-6274	172	6	,	,	PUNCT
ejpam-6274	172	7	i	i	PROPN
ejpam-6274	172	8	-	-	PUNCT
ejpam-6274	172	9	l.	l.	PROPN
ejpam-6274	172	10	popa	popa	PROPN
ejpam-6274	172	11	/	/	SYM
ejpam-6274	172	12	eur	eur	PROPN
ejpam-6274	172	13	.	.	PUNCT
ejpam-6274	173	1	j.	j.	PROPN
ejpam-6274	173	2	pure	pure	PROPN
ejpam-6274	173	3	appl	appl	PROPN
ejpam-6274	173	4	.	.	PROPN
ejpam-6274	173	5	math	math	PROPN
ejpam-6274	173	6	,	,	PUNCT
ejpam-6274	173	7	18	18	NUM
ejpam-6274	173	8	(	(	PUNCT
ejpam-6274	173	9	3	3	NUM
ejpam-6274	173	10	)	)	PUNCT
ejpam-6274	173	11	(	(	PUNCT
ejpam-6274	173	12	2025	2025	NUM
ejpam-6274	173	13	)	)	PUNCT
ejpam-6274	173	14	,	,	PUNCT
ejpam-6274	173	15	6274	6274	NUM
ejpam-6274	173	16	9	9	NUM
ejpam-6274	173	17	of	of	ADP
ejpam-6274	173	18	33	33	NUM
ejpam-6274	173	19	(	(	PUNCT
ejpam-6274	173	20	ii	ii	NOUN
ejpam-6274	173	21	)	)	PUNCT
ejpam-6274	173	22	if	if	SCONJ
ejpam-6274	173	23	p0	p0	NOUN
ejpam-6274	173	24	<	<	X
ejpam-6274	173	25	κ	κ	NOUN
ejpam-6274	173	26	,	,	PUNCT
ejpam-6274	173	27	then	then	ADV
ejpam-6274	173	28	for	for	ADP
ejpam-6274	173	29	a	a	DET
ejpam-6274	173	30	>	>	X
ejpam-6274	173	31	n	n	CCONJ
ejpam-6274	173	32	/	/	SYM
ejpam-6274	173	33	p0	p0	NOUN
ejpam-6274	173	34	the	the	DET
ejpam-6274	173	35	space	space	NOUN
ejpam-6274	173	36	mk̇	mk̇	NOUN
ejpam-6274	173	37	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	173	38	λ	λ	NOUN
ejpam-6274	173	39	,	,	PUNCT
ejpam-6274	173	40	p	p	X
ejpam-6274	173	41	(	(	PUNCT
ejpam-6274	173	42	·	·	PUNCT
ejpam-6274	173	43	)	)	PUNCT
ejpam-6274	174	1	f	f	PROPN
ejpam-6274	174	2	s	s	PROPN
ejpam-6274	174	3	κ	κ	X
ejpam-6274	174	4	(	(	PUNCT
ejpam-6274	174	5	rn	rn	NOUN
ejpam-6274	174	6	)	)	PUNCT
ejpam-6274	174	7	can	can	AUX
ejpam-6274	174	8	be	be	AUX
ejpam-6274	174	9	characterized	characterize	VERB
ejpam-6274	174	10	by	by	ADP
ejpam-6274	174	11	mk̇	mk̇	NUM
ejpam-6274	174	12	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	174	13	λ	λ	NOUN
ejpam-6274	174	14	,	,	PUNCT
ejpam-6274	174	15	p	p	X
ejpam-6274	174	16	(	(	PUNCT
ejpam-6274	174	17	·	·	PUNCT
ejpam-6274	174	18	)	)	PUNCT
ejpam-6274	175	1	f	f	PROPN
ejpam-6274	175	2	s	s	PROPN
ejpam-6274	175	3	κ	κ	X
ejpam-6274	175	4	(	(	PUNCT
ejpam-6274	175	5	rn	rn	NOUN
ejpam-6274	175	6	)	)	PUNCT
ejpam-6274	175	7	=	=	PRON
ejpam-6274	175	8	{	{	PUNCT
ejpam-6274	175	9	g	g	PROPN
ejpam-6274	175	10	∈	∈	PROPN
ejpam-6274	175	11	s	s	PART
ejpam-6274	175	12	′	′	NUM
ejpam-6274	175	13	(	(	PUNCT
ejpam-6274	175	14	rn	rn	NOUN
ejpam-6274	175	15	)	)	PUNCT
ejpam-6274	175	16	:	:	PUNCT
ejpam-6274	175	17	∥g∥(i	∥g∥(i	X
ejpam-6274	175	18	)	)	PUNCT
ejpam-6274	175	19	mk̇	mk̇	NOUN
ejpam-6274	175	20	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	175	21	λ	λ	NOUN
ejpam-6274	175	22	,	,	PUNCT
ejpam-6274	175	23	p	p	X
ejpam-6274	175	24	(	(	PUNCT
ejpam-6274	175	25	·	·	PUNCT
ejpam-6274	175	26	)	)	PUNCT
ejpam-6274	175	27	f	f	PROPN
ejpam-6274	175	28	s	s	X
ejpam-6274	175	29	κ	κ	X
ejpam-6274	175	30	<	<	X
ejpam-6274	175	31	∞	∞	NUM
ejpam-6274	175	32	}	}	PUNCT
ejpam-6274	175	33	,	,	PUNCT
ejpam-6274	175	34	i	i	PRON
ejpam-6274	175	35	=	=	NOUN
ejpam-6274	175	36	1	1	NUM
ejpam-6274	175	37	,	,	PUNCT
ejpam-6274	175	38	.	.	PUNCT
ejpam-6274	175	39	.	.	PUNCT
ejpam-6274	175	40	.	.	PUNCT
ejpam-6274	175	41	,	,	PUNCT
ejpam-6274	175	42	5	5	NUM
ejpam-6274	175	43	where	where	SCONJ
ejpam-6274	175	44	∥g∥(1	∥g∥(1	PROPN
ejpam-6274	175	45	)	)	PUNCT
ejpam-6274	175	46	mk̇	mk̇	NUM
ejpam-6274	175	47	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	175	48	λ	λ	NOUN
ejpam-6274	175	49	,	,	PUNCT
ejpam-6274	175	50	p	p	X
ejpam-6274	175	51	(	(	PUNCT
ejpam-6274	175	52	·	·	PUNCT
ejpam-6274	175	53	)	)	PUNCT
ejpam-6274	176	1	f	f	PROPN
ejpam-6274	176	2	s	s	X
ejpam-6274	176	3	κ	κ	X
ejpam-6274	176	4	:	:	PUNCT
ejpam-6274	176	5	=	=	SYM
ejpam-6274	176	6	∥φ0	∥φ0	NOUN
ejpam-6274	176	7	∗	∗	NOUN
ejpam-6274	176	8	g∥mk̇	g∥mk̇	NOUN
ejpam-6274	176	9	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	176	10	λ	λ	PROPN
ejpam-6274	176	11	,	,	PUNCT
ejpam-6274	176	12	p	p	X
ejpam-6274	176	13	(	(	PUNCT
ejpam-6274	176	14	·	·	PUNCT
ejpam-6274	176	15	)	)	PUNCT
ejpam-6274	177	1	+	+	CCONJ
ejpam-6274	177	2	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	177	3	(	(	PUNCT
ejpam-6274	177	4	∫	∫	PROPN
ejpam-6274	177	5	1	1	NUM
ejpam-6274	177	6	0	0	NUM
ejpam-6274	177	7	t−sκ	t−sκ	NOUN
ejpam-6274	177	8	|φt	|φt	ADP
ejpam-6274	177	9	∗	∗	NOUN
ejpam-6274	177	10	g|κ	g|κ	PUNCT
ejpam-6274	178	1	dt	dt	PROPN
ejpam-6274	178	2	t	t	PROPN
ejpam-6274	178	3	)	)	PUNCT
ejpam-6274	178	4	1	1	NUM
ejpam-6274	178	5	/	/	SYM
ejpam-6274	178	6	κ	κ	X
ejpam-6274	178	7	∥∥∥∥∥	∥∥∥∥∥	NOUN
ejpam-6274	178	8	mk̇	mk̇	NUM
ejpam-6274	178	9	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	178	10	λ	λ	NOUN
ejpam-6274	178	11	,	,	PUNCT
ejpam-6274	178	12	p	p	X
ejpam-6274	178	13	(	(	PUNCT
ejpam-6274	178	14	·	·	PUNCT
ejpam-6274	178	15	)	)	PUNCT
ejpam-6274	178	16	(	(	PUNCT
ejpam-6274	178	17	2.11	2.11	NUM
ejpam-6274	178	18	)	)	PUNCT
ejpam-6274	178	19	∥g∥(2	∥g∥(2	NOUN
ejpam-6274	178	20	)	)	PUNCT
ejpam-6274	178	21	mk̇	mk̇	NOUN
ejpam-6274	178	22	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	178	23	λ	λ	NOUN
ejpam-6274	178	24	,	,	PUNCT
ejpam-6274	178	25	p	p	X
ejpam-6274	178	26	(	(	PUNCT
ejpam-6274	178	27	·	·	PUNCT
ejpam-6274	178	28	)	)	PUNCT
ejpam-6274	179	1	f	f	PROPN
ejpam-6274	179	2	s	s	X
ejpam-6274	179	3	κ	κ	X
ejpam-6274	179	4	:	:	PUNCT
ejpam-6274	179	5	=	=	NUM
ejpam-6274	179	6	∥(φ∗	∥(φ∗	NOUN
ejpam-6274	179	7	0g)a∥mk̇	0g)a∥mk̇	NUM
ejpam-6274	179	8	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	179	9	λ	λ	NOUN
ejpam-6274	179	10	,	,	PUNCT
ejpam-6274	179	11	p	p	X
ejpam-6274	179	12	(	(	PUNCT
ejpam-6274	179	13	·	·	PUNCT
ejpam-6274	179	14	)	)	PUNCT
ejpam-6274	180	1	+	+	CCONJ
ejpam-6274	180	2	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	180	3	(	(	PUNCT
ejpam-6274	180	4	∫	∫	PROPN
ejpam-6274	180	5	1	1	NUM
ejpam-6274	180	6	0	0	NUM
ejpam-6274	180	7	[	[	PUNCT
ejpam-6274	180	8	t−s	t−	NOUN
ejpam-6274	180	9	(	(	PUNCT
ejpam-6274	180	10	φ∗	φ∗	NOUN
ejpam-6274	180	11	t	t	PROPN
ejpam-6274	180	12	g)a	g)a	VERB
ejpam-6274	180	13	]	]	PUNCT
ejpam-6274	180	14	κ	κ	X
ejpam-6274	180	15	dt	dt	X
ejpam-6274	180	16	t	t	PROPN
ejpam-6274	180	17	)	)	PUNCT
ejpam-6274	180	18	1	1	NUM
ejpam-6274	180	19	/	/	SYM
ejpam-6274	180	20	κ	κ	X
ejpam-6274	180	21	∥∥∥∥∥	∥∥∥∥∥	NOUN
ejpam-6274	180	22	mk̇	mk̇	NUM
ejpam-6274	180	23	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	180	24	λ	λ	NOUN
ejpam-6274	180	25	,	,	PUNCT
ejpam-6274	180	26	p	p	X
ejpam-6274	180	27	(	(	PUNCT
ejpam-6274	180	28	·	·	PUNCT
ejpam-6274	180	29	)	)	PUNCT
ejpam-6274	180	30	(	(	PUNCT
ejpam-6274	180	31	2.12	2.12	NUM
ejpam-6274	180	32	)	)	PUNCT
ejpam-6274	180	33	∥g∥(3	∥g∥(3	PROPN
ejpam-6274	180	34	)	)	PUNCT
ejpam-6274	180	35	mk̇	mk̇	NOUN
ejpam-6274	180	36	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	180	37	λ	λ	NOUN
ejpam-6274	180	38	,	,	PUNCT
ejpam-6274	180	39	p	p	X
ejpam-6274	180	40	(	(	PUNCT
ejpam-6274	180	41	·	·	PUNCT
ejpam-6274	180	42	)	)	PUNCT
ejpam-6274	181	1	f	f	PROPN
ejpam-6274	181	2	s	s	X
ejpam-6274	181	3	κ	κ	X
ejpam-6274	181	4	:	:	PUNCT
ejpam-6274	181	5	=	=	SYM
ejpam-6274	181	6	∥φ0	∥φ0	NOUN
ejpam-6274	181	7	∗	∗	NOUN
ejpam-6274	181	8	g∥mk̇	g∥mk̇	NOUN
ejpam-6274	181	9	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	181	10	λ	λ	PROPN
ejpam-6274	181	11	,	,	PUNCT
ejpam-6274	181	12	p	p	X
ejpam-6274	181	13	(	(	PUNCT
ejpam-6274	181	14	·	·	PUNCT
ejpam-6274	181	15	)	)	PUNCT
ejpam-6274	182	1	∥∥∥∥(∫	∥∥∥∥(∫	ADV
ejpam-6274	182	2	1	1	NUM
ejpam-6274	182	3	0	0	NUM
ejpam-6274	182	4	t−sκ	t−sκ	NOUN
ejpam-6274	182	5	×	×	NOUN
ejpam-6274	182	6	∫	∫	NOUN
ejpam-6274	182	7	|z|<t	|z|<t	PROPN
ejpam-6274	182	8	|(φt	|(φt	ADP
ejpam-6274	182	9	∗	∗	NOUN
ejpam-6274	182	10	g	g	NOUN
ejpam-6274	182	11	)	)	PUNCT
ejpam-6274	182	12	(	(	PUNCT
ejpam-6274	182	13	·	·	PUNCT
ejpam-6274	182	14	+	+	NUM
ejpam-6274	182	15	z)|κ	z)|κ	PROPN
ejpam-6274	182	16	dz	dz	X
ejpam-6274	182	17	dt	dt	X
ejpam-6274	182	18	tn+1	tn+1	PROPN
ejpam-6274	182	19	)	)	PUNCT
ejpam-6274	182	20	1	1	NUM
ejpam-6274	182	21	/	/	SYM
ejpam-6274	182	22	κ	κ	PRON
ejpam-6274	182	23	∥∥∥∥∥∥	∥∥∥∥∥∥	NOUN
ejpam-6274	183	1	mk̇	mk̇	NUM
ejpam-6274	183	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	183	3	λ	λ	NOUN
ejpam-6274	183	4	,	,	PUNCT
ejpam-6274	183	5	p	p	X
ejpam-6274	183	6	(	(	PUNCT
ejpam-6274	183	7	·	·	PUNCT
ejpam-6274	183	8	)	)	PUNCT
ejpam-6274	183	9	(	(	PUNCT
ejpam-6274	183	10	2.13	2.13	NUM
ejpam-6274	183	11	)	)	PUNCT
ejpam-6274	183	12	∥g∥(4	∥g∥(4	PROPN
ejpam-6274	183	13	)	)	PUNCT
ejpam-6274	183	14	mk̇	mk̇	NOUN
ejpam-6274	183	15	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	183	16	λ	λ	NOUN
ejpam-6274	183	17	,	,	PUNCT
ejpam-6274	183	18	p	p	X
ejpam-6274	183	19	(	(	PUNCT
ejpam-6274	183	20	·	·	PUNCT
ejpam-6274	183	21	)	)	PUNCT
ejpam-6274	183	22	f	f	PROPN
ejpam-6274	183	23	s	s	X
ejpam-6274	183	24	κ	κ	X
ejpam-6274	183	25	:	:	PUNCT
ejpam-6274	183	26	=	=	SYM
ejpam-6274	183	27	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-6274	183	28	(	(	PUNCT
ejpam-6274	183	29	∞∑	∞∑	NUM
ejpam-6274	183	30	k=0	k=0	PROPN
ejpam-6274	183	31	[	[	PUNCT
ejpam-6274	183	32	2ksκ	2ksκ	NUM
ejpam-6274	183	33	(	(	PUNCT
ejpam-6274	183	34	φ∗	φ∗	NOUN
ejpam-6274	183	35	kg)a	kg)a	PROPN
ejpam-6274	183	36	]	]	PUNCT
ejpam-6274	183	37	κ)1	κ)1	PROPN
ejpam-6274	183	38	/	/	SYM
ejpam-6274	183	39	κ	κ	PROPN
ejpam-6274	183	40	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-6274	184	1	mk̇	mk̇	NUM
ejpam-6274	184	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	184	3	λ	λ	NOUN
ejpam-6274	184	4	,	,	PUNCT
ejpam-6274	184	5	p	p	X
ejpam-6274	184	6	(	(	PUNCT
ejpam-6274	184	7	·	·	PUNCT
ejpam-6274	184	8	)	)	PUNCT
ejpam-6274	184	9	(	(	PUNCT
ejpam-6274	184	10	2.14	2.14	NUM
ejpam-6274	184	11	)	)	PUNCT
ejpam-6274	184	12	∥g∥(5	∥g∥(5	NOUN
ejpam-6274	184	13	)	)	PUNCT
ejpam-6274	184	14	mk̇	mk̇	NUM
ejpam-6274	184	15	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	184	16	λ	λ	NOUN
ejpam-6274	184	17	,	,	PUNCT
ejpam-6274	184	18	p	p	X
ejpam-6274	184	19	(	(	PUNCT
ejpam-6274	184	20	·	·	PUNCT
ejpam-6274	184	21	)	)	PUNCT
ejpam-6274	184	22	f	f	PROPN
ejpam-6274	184	23	s	s	X
ejpam-6274	184	24	κ	κ	X
ejpam-6274	184	25	:	:	PUNCT
ejpam-6274	184	26	=	=	SYM
ejpam-6274	184	27	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-6274	184	28	(	(	PUNCT
ejpam-6274	184	29	∞∑	∞∑	DET
ejpam-6274	184	30	k=0	k=0	PROPN
ejpam-6274	184	31	2ksκ	2ksκ	NOUN
ejpam-6274	184	32	|φk	|φk	NUM
ejpam-6274	184	33	∗	∗	NOUN
ejpam-6274	184	34	g|κ	g|κ	X
ejpam-6274	184	35	)	)	PUNCT
ejpam-6274	184	36	1	1	X
ejpam-6274	184	37	/	/	SYM
ejpam-6274	184	38	κ	κ	PRON
ejpam-6274	184	39	∥∥∥∥∥∥	∥∥∥∥∥∥	NOUN
ejpam-6274	185	1	mk̇	mk̇	NUM
ejpam-6274	185	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	185	3	λ	λ	NOUN
ejpam-6274	185	4	,	,	PUNCT
ejpam-6274	185	5	p	p	X
ejpam-6274	185	6	(	(	PUNCT
ejpam-6274	185	7	·	·	PUNCT
ejpam-6274	185	8	)	)	PUNCT
ejpam-6274	185	9	.	.	PUNCT
ejpam-6274	186	1	(	(	PUNCT
ejpam-6274	186	2	2.15	2.15	NUM
ejpam-6274	186	3	)	)	PUNCT
ejpam-6274	186	4	then	then	ADV
ejpam-6274	186	5	,	,	PUNCT
ejpam-6274	186	6	{	{	PUNCT
ejpam-6274	186	7	∥	∥	X
ejpam-6274	186	8	·	·	PUNCT
ejpam-6274	186	9	∥(i	∥(i	ADJ
ejpam-6274	186	10	)	)	PUNCT
ejpam-6274	186	11	mk̇	mk̇	NOUN
ejpam-6274	186	12	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	186	13	λ	λ	NOUN
ejpam-6274	186	14	,	,	PUNCT
ejpam-6274	186	15	p	p	X
ejpam-6274	186	16	(	(	PUNCT
ejpam-6274	186	17	·	·	PUNCT
ejpam-6274	186	18	)	)	PUNCT
ejpam-6274	187	1	f	f	PROPN
ejpam-6274	187	2	s	s	PROPN
ejpam-6274	187	3	κ	κ	X
ejpam-6274	187	4	}	}	PUNCT
ejpam-6274	187	5	5	5	NUM
ejpam-6274	187	6	i=1	i=1	NOUN
ejpam-6274	187	7	are	be	AUX
ejpam-6274	187	8	equivalent	equivalent	ADJ
ejpam-6274	187	9	.	.	PUNCT
ejpam-6274	188	1	3	3	X
ejpam-6274	188	2	.	.	X
ejpam-6274	188	3	proofs	proof	NOUN
ejpam-6274	188	4	of	of	ADP
ejpam-6274	188	5	the	the	DET
ejpam-6274	188	6	main	main	ADJ
ejpam-6274	188	7	results	result	NOUN
ejpam-6274	188	8	we	we	PRON
ejpam-6274	188	9	need	need	VERB
ejpam-6274	188	10	the	the	DET
ejpam-6274	188	11	following	following	NOUN
ejpam-6274	188	12	lemmas	lemma	NOUN
ejpam-6274	188	13	to	to	PART
ejpam-6274	188	14	prove	prove	VERB
ejpam-6274	188	15	our	our	PRON
ejpam-6274	188	16	main	main	ADJ
ejpam-6274	188	17	results	result	NOUN
ejpam-6274	188	18	.	.	PUNCT
ejpam-6274	189	1	lemma	lemma	PROPN
ejpam-6274	189	2	13	13	NUM
ejpam-6274	189	3	.	.	PUNCT
ejpam-6274	190	1	let	let	VERB
ejpam-6274	190	2	p	p	PRON
ejpam-6274	190	3	,	,	PUNCT
ejpam-6274	190	4	q	q	ADJ
ejpam-6274	190	5	,	,	PUNCT
ejpam-6274	190	6	λ	λ	PROPN
ejpam-6274	190	7	,	,	PUNCT
ejpam-6274	190	8	η	η	PROPN
ejpam-6274	190	9	,	,	PUNCT
ejpam-6274	190	10	are	be	AUX
ejpam-6274	190	11	given	give	VERB
ejpam-6274	190	12	in	in	ADP
ejpam-6274	190	13	theorem	theorem	ADJ
ejpam-6274	190	14	2.8	2.8	NUM
ejpam-6274	190	15	and	and	CCONJ
ejpam-6274	190	16	θ	θ	PROPN
ejpam-6274	190	17	>	>	PUNCT
ejpam-6274	190	18	0	0	NUM
ejpam-6274	190	19	,	,	PUNCT
ejpam-6274	190	20	then	then	ADV
ejpam-6274	190	21	∥g∥	∥g∥	PROPN
ejpam-6274	190	22	mk̇	mk̇	NUM
ejpam-6274	190	23	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	191	1	λ	λ	NOUN
ejpam-6274	191	2	,	,	PUNCT
ejpam-6274	191	3	p	p	X
ejpam-6274	191	4	(	(	PUNCT
ejpam-6274	191	5	·	·	PUNCT
ejpam-6274	191	6	)	)	PUNCT
ejpam-6274	192	1	≈	≈	PROPN
ejpam-6274	192	2	max	max	PROPN
ejpam-6274	192	3	sup	sup	PROPN
ejpam-6274	192	4	ϵ>0	ϵ>0	PROPN
ejpam-6274	192	5	sup	sup	NOUN
ejpam-6274	192	6	l≤0,l∈z	l≤0,l∈z	NOUN
ejpam-6274	192	7	2−lλ	2−lλ	NUM
ejpam-6274	192	8	(	(	PUNCT
ejpam-6274	192	9	ϵθ	ϵθ	ADP
ejpam-6274	192	10	l∑	l∑	X
ejpam-6274	192	11	k=−∞	k=−∞	PROPN
ejpam-6274	192	12	2kη(0)q(1+ϵ	2kη(0)q(1+ϵ	NUM
ejpam-6274	192	13	)	)	PUNCT
ejpam-6274	192	14	∥g1k∥	∥g1k∥	ADV
ejpam-6274	192	15	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	192	16	)	)	PUNCT
ejpam-6274	192	17	p	p	X
ejpam-6274	192	18	(	(	PUNCT
ejpam-6274	192	19	·	·	PUNCT
ejpam-6274	192	20	)	)	PUNCT
ejpam-6274	192	21	)	)	PUNCT
ejpam-6274	192	22	1	1	NUM
ejpam-6274	192	23	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	192	24	)	)	PUNCT
ejpam-6274	192	25	m.	m.	NOUN
ejpam-6274	192	26	sultan	sultan	PROPN
ejpam-6274	192	27	,	,	PUNCT
ejpam-6274	192	28	b.	b.	PROPN
ejpam-6274	192	29	sultan	sultan	PROPN
ejpam-6274	192	30	,	,	PUNCT
ejpam-6274	192	31	i	i	PROPN
ejpam-6274	192	32	-	-	PUNCT
ejpam-6274	192	33	l.	l.	PROPN
ejpam-6274	192	34	popa	popa	PROPN
ejpam-6274	192	35	/	/	SYM
ejpam-6274	192	36	eur	eur	PROPN
ejpam-6274	192	37	.	.	PUNCT
ejpam-6274	193	1	j.	j.	PROPN
ejpam-6274	193	2	pure	pure	PROPN
ejpam-6274	193	3	appl	appl	PROPN
ejpam-6274	193	4	.	.	PROPN
ejpam-6274	193	5	math	math	PROPN
ejpam-6274	193	6	,	,	PUNCT
ejpam-6274	193	7	18	18	NUM
ejpam-6274	193	8	(	(	PUNCT
ejpam-6274	193	9	3	3	NUM
ejpam-6274	193	10	)	)	PUNCT
ejpam-6274	193	11	(	(	PUNCT
ejpam-6274	193	12	2025	2025	NUM
ejpam-6274	193	13	)	)	PUNCT
ejpam-6274	193	14	,	,	PUNCT
ejpam-6274	193	15	6274	6274	NUM
ejpam-6274	193	16	10	10	NUM
ejpam-6274	193	17	of	of	ADP
ejpam-6274	193	18	33	33	NUM
ejpam-6274	193	19	sup	sup	NOUN
ejpam-6274	193	20	l>0,l∈z	l>0,l∈z	PROPN
ejpam-6274	193	21	sup	sup	NOUN
ejpam-6274	193	22	ϵ>0	ϵ>0	NOUN
ejpam-6274	193	23	2−lλ	2−lλ	NOUN
ejpam-6274	193	24	(	(	PUNCT
ejpam-6274	193	25	ϵθ	ϵθ	ADP
ejpam-6274	193	26	−1∑	−1∑	PROPN
ejpam-6274	193	27	k=−∞	k=−∞	PROPN
ejpam-6274	193	28	2kη(0)q(1+ϵ	2kη(0)q(1+ϵ	NUM
ejpam-6274	193	29	)	)	PUNCT
ejpam-6274	193	30	∥g1k∥	∥g1k∥	ADV
ejpam-6274	193	31	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	193	32	)	)	PUNCT
ejpam-6274	194	1	p	p	X
ejpam-6274	194	2	(	(	PUNCT
ejpam-6274	194	3	·	·	PUNCT
ejpam-6274	194	4	)	)	PUNCT
ejpam-6274	194	5	)	)	PUNCT
ejpam-6274	195	1	1	1	NUM
ejpam-6274	195	2	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	195	3	)	)	PUNCT
ejpam-6274	196	1	+	+	CCONJ
ejpam-6274	196	2	2−lλ	2−lλ	NUM
ejpam-6274	196	3	(	(	PUNCT
ejpam-6274	196	4	ϵθ	ϵθ	X
ejpam-6274	196	5	l∑	l∑	X
ejpam-6274	196	6	k=0	k=0	PROPN
ejpam-6274	196	7	2kη∞q(1+ϵ	2kη∞q(1+ϵ	NUM
ejpam-6274	196	8	)	)	PUNCT
ejpam-6274	196	9	∥g1k∥	∥g1k∥	ADV
ejpam-6274	196	10	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	196	11	)	)	PUNCT
ejpam-6274	196	12	p	p	X
ejpam-6274	196	13	(	(	PUNCT
ejpam-6274	196	14	·	·	PUNCT
ejpam-6274	196	15	)	)	PUNCT
ejpam-6274	196	16	)	)	PUNCT
ejpam-6274	196	17	1	1	NUM
ejpam-6274	196	18	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	196	19	)	)	PUNCT
ejpam-6274	196	20			NOUN
ejpam-6274	197	1	lemma	lemma	PROPN
ejpam-6274	197	2	3.1	3.1	NUM
ejpam-6274	197	3	is	be	AUX
ejpam-6274	197	4	similar	similar	ADJ
ejpam-6274	197	5	to	to	PART
ejpam-6274	197	6	proposition	proposition	VERB
ejpam-6274	197	7	3.8	3.8	NUM
ejpam-6274	197	8	in	in	ADP
ejpam-6274	197	9	[	[	X
ejpam-6274	197	10	5	5	NUM
ejpam-6274	197	11	]	]	PUNCT
ejpam-6274	197	12	.	.	PUNCT
ejpam-6274	198	1	indeed	indeed	ADV
ejpam-6274	198	2	,	,	PUNCT
ejpam-6274	198	3	when	when	SCONJ
ejpam-6274	198	4	η	η	X
ejpam-6274	198	5	(	(	PUNCT
ejpam-6274	198	6	·	·	PUNCT
ejpam-6274	198	7	)	)	PUNCT
ejpam-6274	198	8	∈	∈	PROPN
ejpam-6274	198	9	l∞	l∞	NOUN
ejpam-6274	198	10	(	(	PUNCT
ejpam-6274	198	11	rn)∩	rn)∩	X
ejpam-6274	198	12	p	p	NOUN
ejpam-6274	198	13	log	log	NOUN
ejpam-6274	198	14	0	0	NUM
ejpam-6274	198	15	(	(	PUNCT
ejpam-6274	198	16	rn	rn	NOUN
ejpam-6274	198	17	)	)	PUNCT
ejpam-6274	198	18	∩	∩	NOUN
ejpam-6274	198	19	p	p	X
ejpam-6274	198	20	log	log	NOUN
ejpam-6274	198	21	∞	∞	PROPN
ejpam-6274	198	22	(	(	PUNCT
ejpam-6274	198	23	rn	rn	NOUN
ejpam-6274	198	24	)	)	PUNCT
ejpam-6274	198	25	,	,	PUNCT
ejpam-6274	198	26	there	there	PRON
ejpam-6274	198	27	exist	exist	VERB
ejpam-6274	198	28	positive	positive	ADJ
ejpam-6274	198	29	constants	constant	NOUN
ejpam-6274	198	30	c1	c1	PROPN
ejpam-6274	198	31	,	,	PUNCT
ejpam-6274	198	32	c2	c2	PROPN
ejpam-6274	199	1	such	such	ADJ
ejpam-6274	199	2	that	that	SCONJ
ejpam-6274	199	3	if	if	SCONJ
ejpam-6274	199	4	k	k	PROPN
ejpam-6274	199	5	≤	≤	X
ejpam-6274	199	6	0	0	PUNCT
ejpam-6274	200	1	and	and	CCONJ
ejpam-6274	200	2	x	x	SYM
ejpam-6274	200	3	∈	∈	NOUN
ejpam-6274	200	4	dk	dk	NOUN
ejpam-6274	200	5	then	then	ADV
ejpam-6274	200	6	c12	c12	PROPN
ejpam-6274	200	7	kη(0	kη(0	PROPN
ejpam-6274	200	8	)	)	PUNCT
ejpam-6274	200	9	≤	≤	NOUN
ejpam-6274	200	10	2kη(x	2kη(x	NUM
ejpam-6274	200	11	)	)	PUNCT
ejpam-6274	200	12	≤	≤	NOUN
ejpam-6274	200	13	c22	c22	NOUN
ejpam-6274	200	14	kη(0	kη(0	PROPN
ejpam-6274	200	15	)	)	PUNCT
ejpam-6274	200	16	;	;	PUNCT
ejpam-6274	200	17	if	if	SCONJ
ejpam-6274	200	18	k	k	PROPN
ejpam-6274	200	19	>	>	X
ejpam-6274	200	20	1	1	NUM
ejpam-6274	200	21	and	and	CCONJ
ejpam-6274	200	22	x	x	SYM
ejpam-6274	200	23	∈	∈	NOUN
ejpam-6274	200	24	dk	dk	NOUN
ejpam-6274	200	25	then	then	ADV
ejpam-6274	200	26	c12	c12	PROPN
ejpam-6274	200	27	kη∞	kη∞	PROPN
ejpam-6274	200	28	≤	≤	PROPN
ejpam-6274	200	29	2kη(x	2kη(x	NUM
ejpam-6274	200	30	)	)	PUNCT
ejpam-6274	200	31	≤	≤	NOUN
ejpam-6274	200	32	c22	c22	NOUN
ejpam-6274	200	33	kη∞	kη∞	PROPN
ejpam-6274	200	34	,	,	PUNCT
ejpam-6274	200	35	where	where	SCONJ
ejpam-6274	200	36	dk	dk	NOUN
ejpam-6274	200	37	:	:	PUNCT
ejpam-6274	200	38	=	=	X
ejpam-6274	200	39	bk	bk	NOUN
ejpam-6274	200	40	\bk−1	\bk−1	PROPN
ejpam-6274	200	41	.	.	PUNCT
ejpam-6274	201	1	thus	thus	ADV
ejpam-6274	201	2	,	,	PUNCT
ejpam-6274	201	3	we	we	PRON
ejpam-6274	201	4	obtain	obtain	VERB
ejpam-6274	201	5	lemma	lemma	PROPN
ejpam-6274	201	6	3.1	3.1	NUM
ejpam-6274	201	7	.	.	PUNCT
ejpam-6274	202	1	proof	proof	NOUN
ejpam-6274	202	2	.	.	PUNCT
ejpam-6274	203	1	now	now	ADV
ejpam-6274	203	2	we	we	PRON
ejpam-6274	203	3	will	will	AUX
ejpam-6274	203	4	give	give	VERB
ejpam-6274	203	5	the	the	DET
ejpam-6274	203	6	proof	proof	NOUN
ejpam-6274	203	7	of	of	ADP
ejpam-6274	203	8	theorem	theorem	ADJ
ejpam-6274	203	9	2.8	2.8	NUM
ejpam-6274	203	10	.	.	PUNCT
ejpam-6274	204	1	let	let	VERB
ejpam-6274	204	2	(	(	PUNCT
ejpam-6274	204	3	∑∞	∑∞	NOUN
ejpam-6274	204	4	k=1	k=1	PUNCT
ejpam-6274	204	5	|gk|	|gk|	ADJ
ejpam-6274	204	6	r	r	NOUN
ejpam-6274	204	7	)	)	PUNCT
ejpam-6274	204	8	1	1	NUM
ejpam-6274	204	9	r	r	NOUN
ejpam-6274	204	10	∈	∈	NOUN
ejpam-6274	204	11	mk̇	mk̇	NOUN
ejpam-6274	204	12	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	204	13	λ	λ	NOUN
ejpam-6274	204	14	,	,	PUNCT
ejpam-6274	204	15	p	p	X
ejpam-6274	204	16	(	(	PUNCT
ejpam-6274	204	17	·	·	PUNCT
ejpam-6274	204	18	)	)	PUNCT
ejpam-6274	204	19	(	(	PUNCT
ejpam-6274	204	20	rn	rn	NOUN
ejpam-6274	204	21	)	)	PUNCT
ejpam-6274	204	22	.	.	PUNCT
ejpam-6274	205	1	using	use	VERB
ejpam-6274	205	2	the	the	DET
ejpam-6274	205	3	lemma	lemma	PROPN
ejpam-6274	205	4	3.1	3.1	NUM
ejpam-6274	205	5	we	we	PRON
ejpam-6274	205	6	get	get	VERB
ejpam-6274	205	7	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	205	8			PROPN
ejpam-6274	205	9	∞∑	∞∑	NUM
ejpam-6274	205	10	j=1	j=1	PROPN
ejpam-6274	205	11	|tgj	|tgj	NUM
ejpam-6274	205	12	|r	|r	NOUN
ejpam-6274	205	13			PROPN
ejpam-6274	205	14	1	1	NUM
ejpam-6274	205	15	r	r	NOUN
ejpam-6274	205	16	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	NUM
ejpam-6274	205	17	mk̇	mk̇	NUM
ejpam-6274	205	18	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	205	19	λ	λ	NOUN
ejpam-6274	205	20	,	,	PUNCT
ejpam-6274	205	21	p	p	X
ejpam-6274	205	22	(	(	PUNCT
ejpam-6274	205	23	·	·	PUNCT
ejpam-6274	205	24	)	)	PUNCT
ejpam-6274	206	1	≈	≈	PROPN
ejpam-6274	206	2	max	max	PROPN
ejpam-6274	206	3	sup	sup	PROPN
ejpam-6274	206	4	ϵ>0	ϵ>0	NOUN
ejpam-6274	206	5	sup	sup	NOUN
ejpam-6274	206	6	l≤0,l∈z	l≤0,l∈z	PROPN
ejpam-6274	206	7	2−lλ	2−lλ	NUM
ejpam-6274	206	8	ϵθ	ϵθ	NOUN
ejpam-6274	206	9	l∑	l∑	PUNCT
ejpam-6274	206	10	k=−∞	k=−∞	PROPN
ejpam-6274	206	11	2kη(0)q(1+ϵ	2kη(0)q(1+ϵ	NUM
ejpam-6274	206	12	)	)	PUNCT
ejpam-6274	206	13	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	207	1			PROPN
ejpam-6274	207	2	∞∑	∞∑	PROPN
ejpam-6274	207	3	j=1	j=1	PROPN
ejpam-6274	207	4	|tgj	|tgj	NUM
ejpam-6274	207	5	|r	|r	NOUN
ejpam-6274	207	6			PROPN
ejpam-6274	207	7	1	1	NUM
ejpam-6274	207	8	r	r	NOUN
ejpam-6274	207	9	1k	1k	NUM
ejpam-6274	207	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	207	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	207	12	)	)	PUNCT
ejpam-6274	208	1	p	p	X
ejpam-6274	208	2	(	(	PUNCT
ejpam-6274	208	3	·	·	PUNCT
ejpam-6274	208	4	)	)	PUNCT
ejpam-6274	208	5			NOUN
ejpam-6274	208	6	1	1	NUM
ejpam-6274	208	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	208	8	)	)	PUNCT
ejpam-6274	208	9	sup	sup	NOUN
ejpam-6274	209	1	ϵ>0	ϵ>0	NOUN
ejpam-6274	209	2	sup	sup	NOUN
ejpam-6274	209	3	l>0,l∈z	l>0,l∈z	NOUN
ejpam-6274	209	4	2−lλ	2−lλ	ADV
ejpam-6274	209	5	ϵθ	ϵθ	VERB
ejpam-6274	209	6	−1∑	−1∑	PROPN
ejpam-6274	209	7	k=−∞	k=−∞	PROPN
ejpam-6274	209	8	2kη(0)q(1+ϵ	2kη(0)q(1+ϵ	NUM
ejpam-6274	209	9	)	)	PUNCT
ejpam-6274	209	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	210	1			PROPN
ejpam-6274	210	2	∞∑	∞∑	PROPN
ejpam-6274	210	3	j=1	j=1	PROPN
ejpam-6274	210	4	|tgj	|tgj	NUM
ejpam-6274	210	5	|r	|r	NOUN
ejpam-6274	210	6			PROPN
ejpam-6274	210	7	1	1	NUM
ejpam-6274	210	8	r	r	NOUN
ejpam-6274	210	9	1k	1k	NUM
ejpam-6274	210	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	210	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	210	12	)	)	PUNCT
ejpam-6274	211	1	p	p	X
ejpam-6274	211	2	(	(	PUNCT
ejpam-6274	211	3	·	·	PUNCT
ejpam-6274	211	4	)	)	PUNCT
ejpam-6274	211	5			NOUN
ejpam-6274	211	6	1	1	NUM
ejpam-6274	211	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	211	8	)	)	PUNCT
ejpam-6274	211	9	+2−lλ	+2−lλ	PROPN
ejpam-6274	211	10	ϵθ	ϵθ	NOUN
ejpam-6274	211	11	l∑	l∑	PUNCT
ejpam-6274	212	1	k=0	k=0	PROPN
ejpam-6274	212	2	2kη∞q(1+ϵ	2kη∞q(1+ϵ	NUM
ejpam-6274	212	3	)	)	PUNCT
ejpam-6274	212	4	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	213	1			PROPN
ejpam-6274	213	2	∞∑	∞∑	PROPN
ejpam-6274	213	3	j=1	j=1	PROPN
ejpam-6274	213	4	|tgj	|tgj	NUM
ejpam-6274	213	5	|r	|r	NOUN
ejpam-6274	213	6			PROPN
ejpam-6274	213	7	1	1	NUM
ejpam-6274	213	8	r	r	NOUN
ejpam-6274	213	9	1k	1k	NUM
ejpam-6274	213	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	213	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	213	12	)	)	PUNCT
ejpam-6274	214	1	p	p	X
ejpam-6274	214	2	(	(	PUNCT
ejpam-6274	214	3	·	·	PUNCT
ejpam-6274	214	4	)	)	PUNCT
ejpam-6274	214	5			NOUN
ejpam-6274	214	6	1	1	NUM
ejpam-6274	214	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	214	8	)	)	PUNCT
ejpam-6274	214	9			VERB
ejpam-6274	215	1			PROPN
ejpam-6274	216	1	=	=	NOUN
ejpam-6274	216	2	:	:	PUNCT
ejpam-6274	216	3	max	max	PROPN
ejpam-6274	216	4	{	{	PUNCT
ejpam-6274	216	5	et	et	PROPN
ejpam-6274	216	6	,	,	PUNCT
ejpam-6274	216	7	ft	ft	PROPN
ejpam-6274	216	8	}	}	PUNCT
ejpam-6274	216	9	.	.	PUNCT
ejpam-6274	217	1	we	we	PRON
ejpam-6274	217	2	also	also	ADV
ejpam-6274	217	3	denote	denote	VERB
ejpam-6274	217	4	ft	ft	PART
ejpam-6274	217	5	by	by	ADP
ejpam-6274	217	6	ft	ft	X
ejpam-6274	217	7	:	:	PUNCT
ejpam-6274	217	8	=	=	NUM
ejpam-6274	217	9	sup	sup	NOUN
ejpam-6274	217	10	ϵ>0	ϵ>0	VERB
ejpam-6274	217	11	sup	sup	NOUN
ejpam-6274	217	12	l>0,l∈z	l>0,l∈z	PROPN
ejpam-6274	218	1	[	[	X
ejpam-6274	218	2	gt	gt	X
ejpam-6274	219	1	+	+	NOUN
ejpam-6274	219	2	ht	ht	X
ejpam-6274	219	3	]	]	PUNCT
ejpam-6274	219	4	with	with	ADP
ejpam-6274	219	5	gt	gt	PROPN
ejpam-6274	219	6	:	:	PUNCT
ejpam-6274	219	7	=	=	SYM
ejpam-6274	220	1	2−lλ	2−lλ	NUM
ejpam-6274	220	2	ϵθ	ϵθ	X
ejpam-6274	221	1	−1∑	−1∑	PROPN
ejpam-6274	221	2	k=−∞	k=−∞	PROPN
ejpam-6274	221	3	2kη(0)q(1+ϵ	2kη(0)q(1+ϵ	NUM
ejpam-6274	221	4	)	)	PUNCT
ejpam-6274	221	5	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	222	1			PROPN
ejpam-6274	222	2	∞∑	∞∑	PROPN
ejpam-6274	222	3	j=1	j=1	PROPN
ejpam-6274	222	4	|tgj	|tgj	NUM
ejpam-6274	222	5	|r	|r	NOUN
ejpam-6274	222	6			PROPN
ejpam-6274	222	7	1	1	NUM
ejpam-6274	222	8	r	r	NOUN
ejpam-6274	222	9	1k	1k	NUM
ejpam-6274	222	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	222	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	222	12	)	)	PUNCT
ejpam-6274	223	1	p	p	X
ejpam-6274	223	2	(	(	PUNCT
ejpam-6274	223	3	·	·	PUNCT
ejpam-6274	223	4	)	)	PUNCT
ejpam-6274	223	5			NOUN
ejpam-6274	223	6	1	1	NUM
ejpam-6274	223	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	223	8	)	)	PUNCT
ejpam-6274	223	9	ht	ht	X
ejpam-6274	223	10	:	:	PUNCT
ejpam-6274	223	11	=	=	SYM
ejpam-6274	224	1	2−lλ	2−lλ	NUM
ejpam-6274	224	2	ϵθ	ϵθ	NUM
ejpam-6274	224	3	l∑	l∑	PUNCT
ejpam-6274	225	1	k=0	k=0	PROPN
ejpam-6274	225	2	2kη∞q(1+ϵ	2kη∞q(1+ϵ	NUM
ejpam-6274	225	3	)	)	PUNCT
ejpam-6274	225	4	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	226	1			PROPN
ejpam-6274	226	2	∞∑	∞∑	PROPN
ejpam-6274	226	3	j=1	j=1	PROPN
ejpam-6274	226	4	|tgj	|tgj	NUM
ejpam-6274	226	5	|r	|r	NOUN
ejpam-6274	226	6			PROPN
ejpam-6274	226	7	1	1	NUM
ejpam-6274	226	8	r	r	NOUN
ejpam-6274	226	9	1k	1k	NUM
ejpam-6274	226	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	226	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	226	12	)	)	PUNCT
ejpam-6274	227	1	p	p	X
ejpam-6274	227	2	(	(	PUNCT
ejpam-6274	227	3	·	·	PUNCT
ejpam-6274	227	4	)	)	PUNCT
ejpam-6274	227	5			NOUN
ejpam-6274	227	6	1	1	NUM
ejpam-6274	227	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	227	8	)	)	PUNCT
ejpam-6274	227	9	.	.	PUNCT
ejpam-6274	228	1	m.	m.	PROPN
ejpam-6274	228	2	sultan	sultan	PROPN
ejpam-6274	228	3	,	,	PUNCT
ejpam-6274	228	4	b.	b.	PROPN
ejpam-6274	228	5	sultan	sultan	PROPN
ejpam-6274	228	6	,	,	PUNCT
ejpam-6274	228	7	i	i	PROPN
ejpam-6274	228	8	-	-	PUNCT
ejpam-6274	228	9	l.	l.	PROPN
ejpam-6274	228	10	popa	popa	PROPN
ejpam-6274	228	11	/	/	SYM
ejpam-6274	228	12	eur	eur	PROPN
ejpam-6274	228	13	.	.	PUNCT
ejpam-6274	229	1	j.	j.	PROPN
ejpam-6274	229	2	pure	pure	PROPN
ejpam-6274	229	3	appl	appl	PROPN
ejpam-6274	229	4	.	.	PROPN
ejpam-6274	229	5	math	math	PROPN
ejpam-6274	229	6	,	,	PUNCT
ejpam-6274	229	7	18	18	NUM
ejpam-6274	229	8	(	(	PUNCT
ejpam-6274	229	9	3	3	NUM
ejpam-6274	229	10	)	)	PUNCT
ejpam-6274	229	11	(	(	PUNCT
ejpam-6274	229	12	2025	2025	NUM
ejpam-6274	229	13	)	)	PUNCT
ejpam-6274	229	14	,	,	PUNCT
ejpam-6274	229	15	6274	6274	NUM
ejpam-6274	229	16	11	11	NUM
ejpam-6274	229	17	of	of	ADP
ejpam-6274	229	18	33	33	NUM
ejpam-6274	229	19	we	we	PRON
ejpam-6274	229	20	need	need	VERB
ejpam-6274	229	21	to	to	PART
ejpam-6274	229	22	prove	prove	VERB
ejpam-6274	229	23	that	that	SCONJ
ejpam-6274	229	24	et	et	NOUN
ejpam-6274	229	25	≲	≲	PROPN
ejpam-6274	229	26	ef	ef	PROPN
ejpam-6274	229	27	,	,	PUNCT
ejpam-6274	229	28	gt	gt	PROPN
ejpam-6274	229	29	≲	≲	PROPN
ejpam-6274	229	30	gf	gf	PROPN
ejpam-6274	229	31	and	and	CCONJ
ejpam-6274	229	32	ht	ht	PROPN
ejpam-6274	229	33	≲	≲	PROPN
ejpam-6274	229	34	hf	hf	VERB
ejpam-6274	229	35	respectively	respectively	ADV
ejpam-6274	229	36	,	,	PUNCT
ejpam-6274	229	37	where	where	SCONJ
ejpam-6274	229	38	ef	ef	X
ejpam-6274	229	39	:	:	PUNCT
ejpam-6274	229	40	=	=	SYM
ejpam-6274	229	41	sup	sup	NOUN
ejpam-6274	229	42	ϵ>0	ϵ>0	NOUN
ejpam-6274	229	43	sup	sup	NOUN
ejpam-6274	229	44	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	229	45	2−lλ	2−lλ	NUM
ejpam-6274	229	46	ϵθ	ϵθ	NUM
ejpam-6274	229	47	l∑	l∑	PUNCT
ejpam-6274	230	1	k=−∞	k=−∞	PROPN
ejpam-6274	231	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	PRON
ejpam-6274	231	2	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	231	3			PROPN
ejpam-6274	231	4	∞∑	∞∑	ADJ
ejpam-6274	231	5	j=1	j=1	NOUN
ejpam-6274	231	6	|gj	|gj	NUM
ejpam-6274	231	7	|r	|r	NOUN
ejpam-6274	231	8			PROPN
ejpam-6274	231	9	1	1	NUM
ejpam-6274	231	10	r	r	NOUN
ejpam-6274	231	11	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	231	12	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	231	13	)	)	PUNCT
ejpam-6274	232	1	p	p	X
ejpam-6274	232	2	(	(	PUNCT
ejpam-6274	232	3	·	·	PUNCT
ejpam-6274	232	4	)	)	PUNCT
ejpam-6274	232	5			NOUN
ejpam-6274	232	6	1	1	NUM
ejpam-6274	232	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	232	8	)	)	PUNCT
ejpam-6274	232	9	gf	gf	NOUN
ejpam-6274	232	10	:	:	PUNCT
ejpam-6274	232	11	=	=	SYM
ejpam-6274	233	1	2−lλ	2−lλ	NUM
ejpam-6274	233	2	ϵθ	ϵθ	X
ejpam-6274	234	1	−1∑	−1∑	PROPN
ejpam-6274	234	2	k=−∞	k=−∞	PROPN
ejpam-6274	234	3	2kη(0)q(1+ϵ	2kη(0)q(1+ϵ	NUM
ejpam-6274	234	4	)	)	PUNCT
ejpam-6274	234	5	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	235	1			PROPN
ejpam-6274	235	2	∞∑	∞∑	NUM
ejpam-6274	235	3	j=1	j=1	NOUN
ejpam-6274	235	4	|gj	|gj	NUM
ejpam-6274	235	5	|r	|r	NOUN
ejpam-6274	235	6			PROPN
ejpam-6274	235	7	1	1	NUM
ejpam-6274	235	8	r	r	NOUN
ejpam-6274	235	9	1k	1k	NUM
ejpam-6274	235	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	235	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	235	12	)	)	PUNCT
ejpam-6274	235	13	p	p	X
ejpam-6274	235	14	(	(	PUNCT
ejpam-6274	235	15	·	·	PUNCT
ejpam-6274	235	16	)	)	PUNCT
ejpam-6274	235	17			NOUN
ejpam-6274	235	18	1	1	NUM
ejpam-6274	235	19	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	235	20	)	)	PUNCT
ejpam-6274	235	21	hf	hf	NOUN
ejpam-6274	235	22	:	:	PUNCT
ejpam-6274	235	23	=	=	SYM
ejpam-6274	236	1	2−lλ	2−lλ	NUM
ejpam-6274	236	2	ϵθ	ϵθ	NUM
ejpam-6274	236	3	l∑	l∑	PUNCT
ejpam-6274	237	1	k=0	k=0	PROPN
ejpam-6274	237	2	2kη∞q(1+ϵ	2kη∞q(1+ϵ	NUM
ejpam-6274	237	3	)	)	PUNCT
ejpam-6274	237	4	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	238	1			PROPN
ejpam-6274	238	2	∞∑	∞∑	NUM
ejpam-6274	238	3	j=1	j=1	NOUN
ejpam-6274	238	4	|gj	|gj	NUM
ejpam-6274	238	5	|r	|r	NOUN
ejpam-6274	238	6			PROPN
ejpam-6274	238	7	1	1	NUM
ejpam-6274	238	8	r	r	NOUN
ejpam-6274	238	9	1k	1k	NUM
ejpam-6274	238	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	238	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	238	12	)	)	PUNCT
ejpam-6274	238	13	p	p	X
ejpam-6274	238	14	(	(	PUNCT
ejpam-6274	238	15	·	·	PUNCT
ejpam-6274	238	16	)	)	PUNCT
ejpam-6274	238	17			NOUN
ejpam-6274	238	18	1	1	NUM
ejpam-6274	238	19	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	238	20	)	)	PUNCT
ejpam-6274	238	21	.	.	PUNCT
ejpam-6274	239	1	hence	hence	ADV
ejpam-6274	239	2	we	we	PRON
ejpam-6274	239	3	get	get	VERB
ejpam-6274	239	4	et	et	NOUN
ejpam-6274	239	5	≲	≲	PROPN
ejpam-6274	239	6	ef	ef	PROPN
ejpam-6274	239	7	and	and	CCONJ
ejpam-6274	239	8	ft	ft	ADP
ejpam-6274	239	9	≲	≲	PROPN
ejpam-6274	239	10	fg	fg	PRON
ejpam-6274	239	11	where	where	SCONJ
ejpam-6274	239	12	fg	fg	PROPN
ejpam-6274	239	13	denote	denote	VERB
ejpam-6274	239	14	sup	sup	NOUN
ejpam-6274	239	15	ϵ>0	ϵ>0	PROPN
ejpam-6274	239	16	sup	sup	NOUN
ejpam-6274	239	17	l>0,l∈z	l>0,l∈z	PROPN
ejpam-6274	240	1	[	[	X
ejpam-6274	240	2	gf	gf	X
ejpam-6274	240	3	+	+	ADV
ejpam-6274	240	4	hf	hf	NOUN
ejpam-6274	240	5	]	]	X
ejpam-6274	240	6	.	.	PUNCT
ejpam-6274	241	1	from	from	ADP
ejpam-6274	241	2	above	above	ADP
ejpam-6274	241	3	all	all	PRON
ejpam-6274	241	4	and	and	CCONJ
ejpam-6274	241	5	using	use	VERB
ejpam-6274	241	6	lemma	lemma	PROPN
ejpam-6274	241	7	3.1	3.1	NUM
ejpam-6274	241	8	again	again	ADV
ejpam-6274	241	9	,	,	PUNCT
ejpam-6274	241	10	we	we	PRON
ejpam-6274	241	11	have	have	VERB
ejpam-6274	241	12	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	241	13			PROPN
ejpam-6274	241	14	∞∑	∞∑	NUM
ejpam-6274	241	15	j=1	j=1	PROPN
ejpam-6274	241	16	|tgj	|tgj	NUM
ejpam-6274	241	17	|r	|r	NOUN
ejpam-6274	241	18			PROPN
ejpam-6274	241	19	1	1	NUM
ejpam-6274	241	20	r	r	NOUN
ejpam-6274	241	21	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	NUM
ejpam-6274	241	22	mk̇	mk̇	NUM
ejpam-6274	241	23	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	241	24	λ	λ	NOUN
ejpam-6274	241	25	,	,	PUNCT
ejpam-6274	241	26	p	p	X
ejpam-6274	241	27	(	(	PUNCT
ejpam-6274	241	28	·	·	PUNCT
ejpam-6274	241	29	)	)	PUNCT
ejpam-6274	242	1	≈	≈	PROPN
ejpam-6274	242	2	max	max	PROPN
ejpam-6274	242	3	{	{	PUNCT
ejpam-6274	242	4	et	et	PROPN
ejpam-6274	242	5	,	,	PUNCT
ejpam-6274	242	6	ft	ft	PROPN
ejpam-6274	242	7	}	}	PUNCT
ejpam-6274	242	8	≲	≲	PROPN
ejpam-6274	242	9	max	max	PROPN
ejpam-6274	242	10	{	{	PUNCT
ejpam-6274	242	11	eg	eg	PROPN
ejpam-6274	242	12	,	,	PUNCT
ejpam-6274	242	13	fg	fg	PROPN
ejpam-6274	242	14	}	}	PUNCT
ejpam-6274	242	15	≈	≈	PROPN
ejpam-6274	242	16	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	243	1			PROPN
ejpam-6274	243	2	∞∑	∞∑	NUM
ejpam-6274	243	3	j=1	j=1	NOUN
ejpam-6274	243	4	|gj	|gj	NUM
ejpam-6274	243	5	|r	|r	NOUN
ejpam-6274	243	6			PROPN
ejpam-6274	243	7	1	1	NUM
ejpam-6274	243	8	r	r	NOUN
ejpam-6274	243	9	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	NUM
ejpam-6274	243	10	mk̇	mk̇	NUM
ejpam-6274	243	11	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	243	12	λ	λ	NOUN
ejpam-6274	243	13	,	,	PUNCT
ejpam-6274	243	14	p	p	X
ejpam-6274	243	15	(	(	PUNCT
ejpam-6274	243	16	·	·	PUNCT
ejpam-6274	243	17	)	)	PUNCT
ejpam-6274	243	18	.	.	PUNCT
ejpam-6274	244	1	estimate	estimate	NOUN
ejpam-6274	244	2	of	of	ADP
ejpam-6274	244	3	gt	gt	PROPN
ejpam-6274	244	4	≲	≲	PROPN
ejpam-6274	244	5	gf	gf	NOUN
ejpam-6274	244	6	is	be	AUX
ejpam-6274	244	7	similar	similar	ADJ
ejpam-6274	244	8	to	to	ADP
ejpam-6274	244	9	em	em	PRON
ejpam-6274	244	10	≲	≲	PROPN
ejpam-6274	244	11	ef	ef	VERB
ejpam-6274	244	12	so	so	ADV
ejpam-6274	244	13	omit	omit	VERB
ejpam-6274	244	14	the	the	DET
ejpam-6274	244	15	details	detail	NOUN
ejpam-6274	244	16	.	.	PUNCT
ejpam-6274	245	1	by	by	ADP
ejpam-6274	245	2	using	use	VERB
ejpam-6274	245	3	the	the	DET
ejpam-6274	245	4	size	size	NOUN
ejpam-6274	245	5	condition	condition	NOUN
ejpam-6274	245	6	and	and	CCONJ
ejpam-6274	245	7	minkowski	minkowski	PROPN
ejpam-6274	245	8	’s	’s	PART
ejpam-6274	245	9	inequality	inequality	NOUN
ejpam-6274	245	10	,	,	PUNCT
ejpam-6274	245	11	for	for	ADP
ejpam-6274	245	12	et	et	NOUN
ejpam-6274	245	13	we	we	PRON
ejpam-6274	245	14	get	get	VERB
ejpam-6274	245	15	et	et	NOUN
ejpam-6274	245	16	=	=	NOUN
ejpam-6274	245	17	sup	sup	NOUN
ejpam-6274	245	18	ϵ>0	ϵ>0	NOUN
ejpam-6274	245	19	sup	sup	NOUN
ejpam-6274	245	20	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	245	21	2−lλ	2−lλ	NUM
ejpam-6274	245	22	ϵθ	ϵθ	NUM
ejpam-6274	245	23	l∑	l∑	PUNCT
ejpam-6274	246	1	k=−∞	k=−∞	PROPN
ejpam-6274	247	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	DET
ejpam-6274	247	2	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	247	3			PROPN
ejpam-6274	247	4	∞∑	∞∑	NUM
ejpam-6274	247	5	j=1	j=1	PROPN
ejpam-6274	247	6	|tgj	|tgj	NUM
ejpam-6274	247	7	|r	|r	NOUN
ejpam-6274	247	8			PROPN
ejpam-6274	247	9	1	1	NUM
ejpam-6274	247	10	r	r	NOUN
ejpam-6274	247	11	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	247	12	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	247	13	)	)	PUNCT
ejpam-6274	247	14	p	p	X
ejpam-6274	247	15	(	(	PUNCT
ejpam-6274	247	16	·	·	PUNCT
ejpam-6274	247	17	)	)	PUNCT
ejpam-6274	247	18			NOUN
ejpam-6274	247	19	1	1	NUM
ejpam-6274	247	20	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	247	21	)	)	PUNCT
ejpam-6274	248	1	=	=	NOUN
ejpam-6274	248	2	sup	sup	NUM
ejpam-6274	248	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	248	4	sup	sup	NOUN
ejpam-6274	248	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	248	6	2−lλ	2−lλ	NUM
ejpam-6274	248	7	ϵθ	ϵθ	NUM
ejpam-6274	248	8	l∑	l∑	PUNCT
ejpam-6274	248	9	k=−∞	k=−∞	PROPN
ejpam-6274	249	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	DET
ejpam-6274	249	2	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	249	3			PROPN
ejpam-6274	249	4	∞∑	∞∑	ADJ
ejpam-6274	249	5	j=1	j=1	NOUN
ejpam-6274	249	6	∣∣∣∣∣t	∣∣∣∣∣t	NOUN
ejpam-6274	250	1	∞∑	∞∑	NUM
ejpam-6274	250	2	i=−∞	i=−∞	X
ejpam-6274	250	3	gij	gij	NOUN
ejpam-6274	251	1	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6274	251	2	r	r	NOUN
ejpam-6274	251	3			PROPN
ejpam-6274	251	4	1	1	NUM
ejpam-6274	251	5	r	r	NOUN
ejpam-6274	251	6	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	251	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	251	8	)	)	PUNCT
ejpam-6274	252	1	p	p	X
ejpam-6274	252	2	(	(	PUNCT
ejpam-6274	252	3	·	·	PUNCT
ejpam-6274	252	4	)	)	PUNCT
ejpam-6274	252	5			NOUN
ejpam-6274	252	6	1	1	NUM
ejpam-6274	252	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	252	8	)	)	PUNCT
ejpam-6274	252	9	m.	m.	NOUN
ejpam-6274	252	10	sultan	sultan	PROPN
ejpam-6274	252	11	,	,	PUNCT
ejpam-6274	252	12	b.	b.	PROPN
ejpam-6274	252	13	sultan	sultan	PROPN
ejpam-6274	252	14	,	,	PUNCT
ejpam-6274	252	15	i	i	PROPN
ejpam-6274	252	16	-	-	PUNCT
ejpam-6274	252	17	l.	l.	PROPN
ejpam-6274	252	18	popa	popa	PROPN
ejpam-6274	252	19	/	/	SYM
ejpam-6274	252	20	eur	eur	PROPN
ejpam-6274	252	21	.	.	PUNCT
ejpam-6274	253	1	j.	j.	PROPN
ejpam-6274	253	2	pure	pure	PROPN
ejpam-6274	253	3	appl	appl	PROPN
ejpam-6274	253	4	.	.	PROPN
ejpam-6274	253	5	math	math	PROPN
ejpam-6274	253	6	,	,	PUNCT
ejpam-6274	253	7	18	18	NUM
ejpam-6274	253	8	(	(	PUNCT
ejpam-6274	253	9	3	3	NUM
ejpam-6274	253	10	)	)	PUNCT
ejpam-6274	253	11	(	(	PUNCT
ejpam-6274	253	12	2025	2025	NUM
ejpam-6274	253	13	)	)	PUNCT
ejpam-6274	253	14	,	,	PUNCT
ejpam-6274	253	15	6274	6274	NUM
ejpam-6274	253	16	12	12	NUM
ejpam-6274	253	17	of	of	ADP
ejpam-6274	253	18	33	33	NUM
ejpam-6274	253	19	⩽	⩽	NOUN
ejpam-6274	253	20	sup	sup	NOUN
ejpam-6274	253	21	ϵ>0	ϵ>0	NOUN
ejpam-6274	253	22	sup	sup	NOUN
ejpam-6274	253	23	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	253	24	2−lλ	2−lλ	NUM
ejpam-6274	253	25	ϵθ	ϵθ	NUM
ejpam-6274	253	26	l∑	l∑	PUNCT
ejpam-6274	254	1	k=−∞	k=−∞	PROPN
ejpam-6274	255	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	DET
ejpam-6274	255	2	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	255	3	∞∑	∞∑	NUM
ejpam-6274	255	4	i=−∞	i=−∞	PRON
ejpam-6274	255	5			PROPN
ejpam-6274	255	6	∞∑	∞∑	PROPN
ejpam-6274	255	7	j=1	j=1	PROPN
ejpam-6274	255	8	∣∣tgij∣∣r	∣∣tgij∣∣r	NOUN
ejpam-6274	255	9			PROPN
ejpam-6274	255	10	1	1	NUM
ejpam-6274	255	11	r	r	NOUN
ejpam-6274	255	12	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	255	13	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	255	14	)	)	PUNCT
ejpam-6274	256	1			NOUN
ejpam-6274	256	2	1	1	NUM
ejpam-6274	256	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	256	4	)	)	PUNCT
ejpam-6274	257	1	p	p	X
ejpam-6274	257	2	(	(	PUNCT
ejpam-6274	257	3	·	·	PUNCT
ejpam-6274	257	4	)	)	PUNCT
ejpam-6274	258	1	≲	≲	PROPN
ejpam-6274	258	2	sup	sup	NOUN
ejpam-6274	258	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	258	4	sup	sup	NOUN
ejpam-6274	258	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	258	6	2−lλ	2−lλ	NUM
ejpam-6274	258	7	ϵθ	ϵθ	NUM
ejpam-6274	258	8	l∑	l∑	PUNCT
ejpam-6274	258	9	k=−∞	k=−∞	PROPN
ejpam-6274	259	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	PRON
ejpam-6274	259	2	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	259	3	k−2∑	k−2∑	ADV
ejpam-6274	259	4	i=−∞	i=−∞	NOUN
ejpam-6274	260	1			PROPN
ejpam-6274	260	2	∞∑	∞∑	PROPN
ejpam-6274	260	3	j=1	j=1	PROPN
ejpam-6274	260	4	∣∣tgij∣∣r	∣∣tgij∣∣r	NOUN
ejpam-6274	260	5			PROPN
ejpam-6274	260	6	1	1	NUM
ejpam-6274	260	7	r	r	NOUN
ejpam-6274	260	8	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	260	9	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	260	10	)	)	PUNCT
ejpam-6274	261	1	p	p	X
ejpam-6274	261	2	(	(	PUNCT
ejpam-6274	261	3	·	·	PUNCT
ejpam-6274	261	4	)	)	PUNCT
ejpam-6274	261	5			NOUN
ejpam-6274	261	6	1	1	NUM
ejpam-6274	261	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	261	8	)	)	PUNCT
ejpam-6274	262	1	+	+	CCONJ
ejpam-6274	262	2	sup	sup	NUM
ejpam-6274	262	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	262	4	sup	sup	NOUN
ejpam-6274	262	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	262	6	2−lλ	2−lλ	NUM
ejpam-6274	262	7	ϵθ	ϵθ	NUM
ejpam-6274	262	8	l∑	l∑	PUNCT
ejpam-6274	263	1	k=−∞	k=−∞	PROPN
ejpam-6274	264	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	PRON
ejpam-6274	264	2	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	264	3	k+1∑	k+1∑	PROPN
ejpam-6274	265	1	i	i	PRON
ejpam-6274	265	2	=	=	PROPN
ejpam-6274	265	3	k−1	k−1	PROPN
ejpam-6274	265	4			PROPN
ejpam-6274	265	5	∞∑	∞∑	PROPN
ejpam-6274	265	6	j=1	j=1	PROPN
ejpam-6274	265	7	∣∣tgij∣∣r	∣∣tgij∣∣r	NOUN
ejpam-6274	265	8			PROPN
ejpam-6274	265	9	1	1	NUM
ejpam-6274	265	10	r	r	NOUN
ejpam-6274	265	11	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	265	12	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	265	13	)	)	PUNCT
ejpam-6274	265	14	p	p	X
ejpam-6274	265	15	(	(	PUNCT
ejpam-6274	265	16	·	·	PUNCT
ejpam-6274	265	17	)	)	PUNCT
ejpam-6274	265	18			NOUN
ejpam-6274	265	19	1	1	NUM
ejpam-6274	265	20	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	265	21	)	)	PUNCT
ejpam-6274	266	1	+	+	CCONJ
ejpam-6274	266	2	sup	sup	NUM
ejpam-6274	266	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	266	4	sup	sup	NOUN
ejpam-6274	266	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	266	6	2−lλ	2−lλ	NUM
ejpam-6274	266	7	ϵθ	ϵθ	NUM
ejpam-6274	266	8	l∑	l∑	PUNCT
ejpam-6274	267	1	k=−∞	k=−∞	PROPN
ejpam-6274	268	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	PRON
ejpam-6274	268	2	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	268	3	∞∑	∞∑	NUM
ejpam-6274	268	4	i	i	NOUN
ejpam-6274	268	5	=	=	SYM
ejpam-6274	268	6	k+2	k+2	PROPN
ejpam-6274	268	7			PROPN
ejpam-6274	268	8	∞∑	∞∑	NUM
ejpam-6274	268	9	j=1	j=1	PROPN
ejpam-6274	268	10	∣∣tgij∣∣r	∣∣tgij∣∣r	NOUN
ejpam-6274	268	11			PROPN
ejpam-6274	268	12	1	1	NUM
ejpam-6274	268	13	r	r	NOUN
ejpam-6274	268	14	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	268	15	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	268	16	)	)	PUNCT
ejpam-6274	268	17	p	p	X
ejpam-6274	268	18	(	(	PUNCT
ejpam-6274	268	19	·	·	PUNCT
ejpam-6274	268	20	)	)	PUNCT
ejpam-6274	268	21			NOUN
ejpam-6274	268	22	1	1	NUM
ejpam-6274	268	23	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	268	24	)	)	PUNCT
ejpam-6274	269	1	=	=	PRON
ejpam-6274	269	2	:	:	PUNCT
ejpam-6274	269	3	e1	e1	PROPN
ejpam-6274	269	4	t	t	PROPN
ejpam-6274	269	5	+	+	CCONJ
ejpam-6274	269	6	e2	e2	PROPN
ejpam-6274	269	7	t	t	PROPN
ejpam-6274	269	8	+	+	CCONJ
ejpam-6274	269	9	e3	e3	PROPN
ejpam-6274	269	10	t	t	NOUN
ejpam-6274	269	11	.	.	PUNCT
ejpam-6274	270	1	by	by	ADP
ejpam-6274	270	2	the	the	DET
ejpam-6274	270	3	same	same	ADJ
ejpam-6274	270	4	way	way	NOUN
ejpam-6274	270	5	we	we	PRON
ejpam-6274	270	6	consider	consider	VERB
ejpam-6274	270	7	ht	ht	PROPN
ejpam-6274	270	8	.	.	PUNCT
ejpam-6274	271	1	ht	ht	PROPN
ejpam-6274	271	2	≲2−lλ	≲2−lλ	PROPN
ejpam-6274	271	3	ϵθ	ϵθ	NOUN
ejpam-6274	271	4	l∑	l∑	PUNCT
ejpam-6274	271	5	k=0	k=0	PROPN
ejpam-6274	271	6	2η∞q(1+ϵ)k	2η∞q(1+ϵ)k	NUM
ejpam-6274	271	7	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PROPN
ejpam-6274	271	8	k−2∑	k−2∑	ADV
ejpam-6274	271	9	i=−∞	i=−∞	NOUN
ejpam-6274	272	1			PROPN
ejpam-6274	272	2	∞∑	∞∑	PROPN
ejpam-6274	272	3	j=1	j=1	PROPN
ejpam-6274	272	4	∣∣tgij∣∣r	∣∣tgij∣∣r	NOUN
ejpam-6274	272	5			PROPN
ejpam-6274	272	6	1	1	NUM
ejpam-6274	272	7	r	r	NOUN
ejpam-6274	272	8	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	272	9	q	q	NOUN
ejpam-6274	272	10	p	p	X
ejpam-6274	272	11	(	(	PUNCT
ejpam-6274	272	12	·	·	PUNCT
ejpam-6274	272	13	)	)	PUNCT
ejpam-6274	272	14			ADP
ejpam-6274	272	15	1	1	NUM
ejpam-6274	272	16	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	272	17	)	)	PUNCT
ejpam-6274	273	1	+	+	CCONJ
ejpam-6274	274	1	2−lλ	2−lλ	NUM
ejpam-6274	274	2	ϵθ	ϵθ	NUM
ejpam-6274	274	3	l∑	l∑	PUNCT
ejpam-6274	275	1	k=0	k=0	PROPN
ejpam-6274	275	2	2η∞q(1+ϵ)k	2η∞q(1+ϵ)k	NUM
ejpam-6274	275	3	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	275	4	k+1∑	k+1∑	PROPN
ejpam-6274	276	1	i	i	PRON
ejpam-6274	276	2	=	=	PROPN
ejpam-6274	276	3	k−1	k−1	PROPN
ejpam-6274	276	4			PROPN
ejpam-6274	276	5	∞∑	∞∑	PROPN
ejpam-6274	276	6	j=1	j=1	PROPN
ejpam-6274	276	7	∣∣tgij∣∣r	∣∣tgij∣∣r	NOUN
ejpam-6274	276	8			PROPN
ejpam-6274	276	9	1	1	NUM
ejpam-6274	276	10	r	r	NOUN
ejpam-6274	276	11	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	276	12	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	276	13	)	)	PUNCT
ejpam-6274	276	14	p	p	X
ejpam-6274	276	15	(	(	PUNCT
ejpam-6274	276	16	·	·	PUNCT
ejpam-6274	276	17	)	)	PUNCT
ejpam-6274	276	18			NOUN
ejpam-6274	276	19	1	1	NUM
ejpam-6274	276	20	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	276	21	)	)	PUNCT
ejpam-6274	277	1	+	+	CCONJ
ejpam-6274	277	2	2−lλ	2−lλ	NUM
ejpam-6274	277	3	ϵθ	ϵθ	NUM
ejpam-6274	277	4	l∑	l∑	PUNCT
ejpam-6274	278	1	k=0	k=0	PROPN
ejpam-6274	278	2	2η∞q(1+ϵ)k	2η∞q(1+ϵ)k	NUM
ejpam-6274	278	3	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	278	4	∞∑	∞∑	NUM
ejpam-6274	278	5	i	i	NOUN
ejpam-6274	278	6	=	=	SYM
ejpam-6274	278	7	k+2	k+2	PROPN
ejpam-6274	278	8			PROPN
ejpam-6274	278	9	∞∑	∞∑	NUM
ejpam-6274	278	10	j=1	j=1	PROPN
ejpam-6274	278	11	∣∣tgij∣∣r	∣∣tgij∣∣r	NOUN
ejpam-6274	278	12			PROPN
ejpam-6274	278	13	1	1	NUM
ejpam-6274	278	14	r	r	NOUN
ejpam-6274	278	15	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	278	16	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	278	17	)	)	PUNCT
ejpam-6274	278	18	p	p	X
ejpam-6274	278	19	(	(	PUNCT
ejpam-6274	278	20	·	·	PUNCT
ejpam-6274	278	21	)	)	PUNCT
ejpam-6274	278	22			NOUN
ejpam-6274	278	23	1	1	NUM
ejpam-6274	278	24	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	278	25	)	)	PUNCT
ejpam-6274	279	1	=	=	NOUN
ejpam-6274	279	2	:	:	PUNCT
ejpam-6274	279	3	h1	h1	PROPN
ejpam-6274	279	4	t	t	PROPN
ejpam-6274	280	1	+	+	PROPN
ejpam-6274	280	2	h2	h2	PROPN
ejpam-6274	280	3	t	t	NOUN
ejpam-6274	280	4	+	+	NOUN
ejpam-6274	280	5	h3	h3	PROPN
ejpam-6274	280	6	t	t	NOUN
ejpam-6274	280	7	.	.	PUNCT
ejpam-6274	281	1	secondly	secondly	ADV
ejpam-6274	281	2	,	,	PUNCT
ejpam-6274	281	3	we	we	PRON
ejpam-6274	281	4	will	will	AUX
ejpam-6274	281	5	prove	prove	VERB
ejpam-6274	281	6	ei	ei	ADP
ejpam-6274	281	7	t	t	PROPN
ejpam-6274	281	8	and	and	CCONJ
ejpam-6274	281	9	h	h	NOUN
ejpam-6274	282	1	i	i	PRON
ejpam-6274	282	2	t	t	PROPN
ejpam-6274	282	3	,	,	PUNCT
ejpam-6274	282	4	i	i	PRON
ejpam-6274	282	5	=	=	NOUN
ejpam-6274	282	6	1	1	NUM
ejpam-6274	282	7	,	,	PUNCT
ejpam-6274	282	8	2	2	NUM
ejpam-6274	282	9	,	,	PUNCT
ejpam-6274	282	10	3	3	NUM
ejpam-6274	282	11	.	.	NOUN
ejpam-6274	282	12	step	step	NOUN
ejpam-6274	282	13	1	1	NUM
ejpam-6274	282	14	.	.	PUNCT
ejpam-6274	283	1	for	for	ADP
ejpam-6274	283	2	e2	e2	PROPN
ejpam-6274	283	3	t	t	PROPN
ejpam-6274	283	4	,	,	PUNCT
ejpam-6274	283	5	we	we	PRON
ejpam-6274	283	6	have	have	VERB
ejpam-6274	283	7	m.	m.	NOUN
ejpam-6274	283	8	sultan	sultan	PROPN
ejpam-6274	283	9	,	,	PUNCT
ejpam-6274	283	10	b.	b.	PROPN
ejpam-6274	283	11	sultan	sultan	PROPN
ejpam-6274	283	12	,	,	PUNCT
ejpam-6274	283	13	i	i	PROPN
ejpam-6274	283	14	-	-	PUNCT
ejpam-6274	283	15	l.	l.	PROPN
ejpam-6274	283	16	popa	popa	PROPN
ejpam-6274	283	17	/	/	SYM
ejpam-6274	283	18	eur	eur	PROPN
ejpam-6274	283	19	.	.	PUNCT
ejpam-6274	284	1	j.	j.	PROPN
ejpam-6274	284	2	pure	pure	PROPN
ejpam-6274	284	3	appl	appl	PROPN
ejpam-6274	284	4	.	.	PROPN
ejpam-6274	284	5	math	math	PROPN
ejpam-6274	284	6	,	,	PUNCT
ejpam-6274	284	7	18	18	NUM
ejpam-6274	284	8	(	(	PUNCT
ejpam-6274	284	9	3	3	NUM
ejpam-6274	284	10	)	)	PUNCT
ejpam-6274	284	11	(	(	PUNCT
ejpam-6274	284	12	2025	2025	NUM
ejpam-6274	284	13	)	)	PUNCT
ejpam-6274	284	14	,	,	PUNCT
ejpam-6274	284	15	6274	6274	NUM
ejpam-6274	284	16	13	13	NUM
ejpam-6274	284	17	of	of	ADP
ejpam-6274	284	18	33	33	NUM
ejpam-6274	284	19	e2	e2	PROPN
ejpam-6274	284	20	t	t	PROPN
ejpam-6274	284	21	≲	≲	PROPN
ejpam-6274	284	22	sup	sup	NOUN
ejpam-6274	284	23	ϵ>0	ϵ>0	NOUN
ejpam-6274	284	24	sup	sup	NOUN
ejpam-6274	284	25	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	284	26	2−lλ	2−lλ	NUM
ejpam-6274	284	27	ϵθ	ϵθ	NUM
ejpam-6274	284	28	l∑	l∑	X
ejpam-6274	284	29	k=−∞	k=−∞	PROPN
ejpam-6274	285	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	NUM
ejpam-6274	285	2	k+1∑	k+1∑	ADJ
ejpam-6274	286	1	i	i	PRON
ejpam-6274	286	2	=	=	NOUN
ejpam-6274	286	3	k−1	k−1	PROPN
ejpam-6274	286	4	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	287	1			PROPN
ejpam-6274	287	2	∞∑	∞∑	NUM
ejpam-6274	287	3	j=1	j=1	PROPN
ejpam-6274	287	4	∣∣gij∣∣r	∣∣gij∣∣r	PUNCT
ejpam-6274	288	1			PROPN
ejpam-6274	288	2	1	1	NUM
ejpam-6274	288	3	r	r	NOUN
ejpam-6274	288	4	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	288	5	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	288	6	)	)	PUNCT
ejpam-6274	288	7	p	p	X
ejpam-6274	288	8	(	(	PUNCT
ejpam-6274	288	9	·	·	PUNCT
ejpam-6274	288	10	)	)	PUNCT
ejpam-6274	289	1			NOUN
ejpam-6274	289	2	1	1	NUM
ejpam-6274	289	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	289	4	)	)	PUNCT
ejpam-6274	290	1	=	=	PUNCT
ejpam-6274	290	2	sup	sup	NOUN
ejpam-6274	290	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	290	4	sup	sup	NOUN
ejpam-6274	290	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	290	6	2−lλ	2−lλ	NUM
ejpam-6274	290	7	ϵθ	ϵθ	NUM
ejpam-6274	290	8	l∑	l∑	X
ejpam-6274	291	1	k=−∞	k=−∞	PROPN
ejpam-6274	292	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	NUM
ejpam-6274	292	2	k+1∑	k+1∑	ADJ
ejpam-6274	293	1	i	i	PRON
ejpam-6274	293	2	=	=	NOUN
ejpam-6274	293	3	k−1	k−1	PROPN
ejpam-6274	293	4	∥∥∥∥∥∥∥1i	∥∥∥∥∥∥∥1i	PROPN
ejpam-6274	294	1			PROPN
ejpam-6274	294	2	∞∑	∞∑	ADJ
ejpam-6274	294	3	j=1	j=1	NOUN
ejpam-6274	294	4	|gj	|gj	NUM
ejpam-6274	294	5	|r	|r	NOUN
ejpam-6274	294	6			PROPN
ejpam-6274	294	7	1	1	NUM
ejpam-6274	294	8	r	r	NOUN
ejpam-6274	294	9	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	294	10	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	294	11	)	)	PUNCT
ejpam-6274	295	1	p	p	X
ejpam-6274	295	2	(	(	PUNCT
ejpam-6274	295	3	·	·	PUNCT
ejpam-6274	295	4	)	)	PUNCT
ejpam-6274	295	5			NOUN
ejpam-6274	295	6	1	1	NUM
ejpam-6274	295	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	295	8	)	)	PUNCT
ejpam-6274	296	1	≲	≲	PROPN
ejpam-6274	296	2	sup	sup	NOUN
ejpam-6274	296	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	296	4	sup	sup	NOUN
ejpam-6274	296	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	296	6	2−lλ	2−lλ	NUM
ejpam-6274	296	7	ϵθ	ϵθ	NUM
ejpam-6274	296	8	l∑	l∑	PUNCT
ejpam-6274	296	9	k=−∞	k=−∞	PROPN
ejpam-6274	297	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	NUM
ejpam-6274	297	2	∥∥∥∥∥∥∥1k−1	∥∥∥∥∥∥∥1k−1	PROPN
ejpam-6274	298	1			PROPN
ejpam-6274	298	2	∞∑	∞∑	ADJ
ejpam-6274	298	3	j=1	j=1	NOUN
ejpam-6274	298	4	|gj	|gj	NUM
ejpam-6274	298	5	|r	|r	NOUN
ejpam-6274	298	6			PROPN
ejpam-6274	298	7	1	1	NUM
ejpam-6274	298	8	r	r	NOUN
ejpam-6274	298	9	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	298	10	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	298	11	)	)	PUNCT
ejpam-6274	298	12	p	p	X
ejpam-6274	298	13	(	(	PUNCT
ejpam-6274	298	14	·	·	PUNCT
ejpam-6274	298	15	)	)	PUNCT
ejpam-6274	299	1			NOUN
ejpam-6274	299	2	1	1	NUM
ejpam-6274	299	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	299	4	)	)	PUNCT
ejpam-6274	300	1	+	+	CCONJ
ejpam-6274	300	2	sup	sup	NUM
ejpam-6274	300	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	300	4	sup	sup	NOUN
ejpam-6274	300	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	300	6	2−lλ	2−lλ	NUM
ejpam-6274	300	7	ϵθ	ϵθ	NUM
ejpam-6274	300	8	l∑	l∑	PUNCT
ejpam-6274	301	1	k=−∞	k=−∞	PROPN
ejpam-6274	302	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	PRON
ejpam-6274	302	2	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	302	3			PROPN
ejpam-6274	302	4	∞∑	∞∑	ADJ
ejpam-6274	302	5	j=1	j=1	NOUN
ejpam-6274	302	6	|gj	|gj	NUM
ejpam-6274	302	7	|r	|r	NOUN
ejpam-6274	302	8			PROPN
ejpam-6274	302	9	1	1	NUM
ejpam-6274	302	10	r	r	NOUN
ejpam-6274	302	11	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	302	12	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	302	13	)	)	PUNCT
ejpam-6274	303	1	p	p	X
ejpam-6274	303	2	(	(	PUNCT
ejpam-6274	303	3	·	·	PUNCT
ejpam-6274	303	4	)	)	PUNCT
ejpam-6274	303	5			NOUN
ejpam-6274	303	6	1	1	NUM
ejpam-6274	303	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	303	8	)	)	PUNCT
ejpam-6274	304	1	+	+	CCONJ
ejpam-6274	304	2	sup	sup	NUM
ejpam-6274	304	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	304	4	sup	sup	NOUN
ejpam-6274	304	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	304	6	2−lλ	2−lλ	NUM
ejpam-6274	304	7	ϵθ	ϵθ	NUM
ejpam-6274	304	8	l∑	l∑	X
ejpam-6274	304	9	k=−∞	k=−∞	PROPN
ejpam-6274	305	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	NUM
ejpam-6274	305	2	∥∥∥∥∥∥∥1k+1	∥∥∥∥∥∥∥1k+1	VERB
ejpam-6274	305	3			PROPN
ejpam-6274	305	4	∞∑	∞∑	PROPN
ejpam-6274	305	5	j=1	j=1	NOUN
ejpam-6274	305	6	|gj	|gj	NUM
ejpam-6274	305	7	|r	|r	NOUN
ejpam-6274	305	8			PROPN
ejpam-6274	305	9	1	1	NUM
ejpam-6274	305	10	r	r	NOUN
ejpam-6274	305	11	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	305	12	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	305	13	)	)	PUNCT
ejpam-6274	305	14	p	p	X
ejpam-6274	305	15	(	(	PUNCT
ejpam-6274	305	16	·	·	PUNCT
ejpam-6274	305	17	)	)	PUNCT
ejpam-6274	305	18			NOUN
ejpam-6274	305	19	1	1	NUM
ejpam-6274	305	20	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	305	21	)	)	PUNCT
ejpam-6274	305	22	≲	≲	PROPN
ejpam-6274	305	23	sup	sup	NOUN
ejpam-6274	305	24	ϵ>0	ϵ>0	NOUN
ejpam-6274	305	25	sup	sup	NOUN
ejpam-6274	305	26	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	305	27	2−lλ	2−lλ	NUM
ejpam-6274	305	28	ϵθ	ϵθ	NUM
ejpam-6274	305	29	l∑	l∑	PUNCT
ejpam-6274	305	30	k=−∞	k=−∞	PROPN
ejpam-6274	306	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	PRON
ejpam-6274	306	2	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	306	3			PROPN
ejpam-6274	306	4	∞∑	∞∑	ADJ
ejpam-6274	306	5	j=1	j=1	NOUN
ejpam-6274	306	6	|gj	|gj	NUM
ejpam-6274	306	7	|r	|r	NOUN
ejpam-6274	306	8			PROPN
ejpam-6274	306	9	1	1	NUM
ejpam-6274	306	10	r	r	NOUN
ejpam-6274	306	11	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	306	12	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	306	13	)	)	PUNCT
ejpam-6274	307	1	p	p	X
ejpam-6274	307	2	(	(	PUNCT
ejpam-6274	307	3	·	·	PUNCT
ejpam-6274	307	4	)	)	PUNCT
ejpam-6274	307	5			NOUN
ejpam-6274	307	6	1	1	NUM
ejpam-6274	307	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	307	8	)	)	PUNCT
ejpam-6274	308	1	=	=	PRON
ejpam-6274	308	2	:	:	PUNCT
ejpam-6274	308	3	ef	ef	PROPN
ejpam-6274	308	4	.	.	PUNCT
ejpam-6274	309	1	then	then	ADV
ejpam-6274	309	2	turn	turn	VERB
ejpam-6274	309	3	to	to	ADP
ejpam-6274	309	4	h2	h2	PROPN
ejpam-6274	309	5	t	t	PROPN
ejpam-6274	309	6	,	,	PUNCT
ejpam-6274	309	7	similarly	similarly	ADV
ejpam-6274	309	8	,	,	PUNCT
ejpam-6274	309	9	we	we	PRON
ejpam-6274	309	10	have	have	VERB
ejpam-6274	309	11	h2	h2	PROPN
ejpam-6274	309	12	t	t	PROPN
ejpam-6274	309	13	≲	≲	PROPN
ejpam-6274	309	14	2−lλ	2−lλ	NUM
ejpam-6274	309	15	ϵθ	ϵθ	NUM
ejpam-6274	309	16	l∑	l∑	PUNCT
ejpam-6274	310	1	k=0	k=0	PROPN
ejpam-6274	310	2	2η∞q(1+ϵ)k	2η∞q(1+ϵ)k	NUM
ejpam-6274	310	3	∥∥∥∥∥∥∥1k−1	∥∥∥∥∥∥∥1k−1	PROPN
ejpam-6274	311	1			PROPN
ejpam-6274	311	2	∞∑	∞∑	ADJ
ejpam-6274	311	3	j=1	j=1	NOUN
ejpam-6274	311	4	|gj	|gj	NUM
ejpam-6274	311	5	|r	|r	NOUN
ejpam-6274	311	6			PROPN
ejpam-6274	311	7	1	1	NUM
ejpam-6274	311	8	r	r	NOUN
ejpam-6274	311	9	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	311	10	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	311	11	)	)	PUNCT
ejpam-6274	311	12	p	p	X
ejpam-6274	311	13	(	(	PUNCT
ejpam-6274	311	14	·	·	PUNCT
ejpam-6274	311	15	)	)	PUNCT
ejpam-6274	312	1			NOUN
ejpam-6274	312	2	1	1	NUM
ejpam-6274	312	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	312	4	)	)	PUNCT
ejpam-6274	313	1	+	+	CCONJ
ejpam-6274	313	2	2−lλ	2−lλ	NUM
ejpam-6274	313	3	ϵθ	ϵθ	NUM
ejpam-6274	313	4	l∑	l∑	PUNCT
ejpam-6274	314	1	k=0	k=0	PROPN
ejpam-6274	314	2	2η∞q(1+ϵ)k	2η∞q(1+ϵ)k	NUM
ejpam-6274	314	3	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	314	4			PROPN
ejpam-6274	314	5	∞∑	∞∑	ADJ
ejpam-6274	314	6	j=1	j=1	NOUN
ejpam-6274	314	7	|gj	|gj	NUM
ejpam-6274	314	8	|r	|r	NOUN
ejpam-6274	314	9			PROPN
ejpam-6274	314	10	1	1	NUM
ejpam-6274	314	11	r	r	NOUN
ejpam-6274	314	12	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	314	13	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	314	14	)	)	PUNCT
ejpam-6274	315	1	p	p	X
ejpam-6274	315	2	(	(	PUNCT
ejpam-6274	315	3	·	·	PUNCT
ejpam-6274	315	4	)	)	PUNCT
ejpam-6274	315	5			NOUN
ejpam-6274	315	6	1	1	NUM
ejpam-6274	315	7	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	315	8	)	)	PUNCT
ejpam-6274	315	9	m.	m.	NOUN
ejpam-6274	315	10	sultan	sultan	PROPN
ejpam-6274	315	11	,	,	PUNCT
ejpam-6274	315	12	b.	b.	PROPN
ejpam-6274	315	13	sultan	sultan	PROPN
ejpam-6274	315	14	,	,	PUNCT
ejpam-6274	315	15	i	i	PROPN
ejpam-6274	315	16	-	-	PUNCT
ejpam-6274	315	17	l.	l.	PROPN
ejpam-6274	315	18	popa	popa	PROPN
ejpam-6274	315	19	/	/	SYM
ejpam-6274	315	20	eur	eur	PROPN
ejpam-6274	315	21	.	.	PUNCT
ejpam-6274	316	1	j.	j.	PROPN
ejpam-6274	316	2	pure	pure	PROPN
ejpam-6274	316	3	appl	appl	PROPN
ejpam-6274	316	4	.	.	PROPN
ejpam-6274	316	5	math	math	PROPN
ejpam-6274	316	6	,	,	PUNCT
ejpam-6274	316	7	18	18	NUM
ejpam-6274	316	8	(	(	PUNCT
ejpam-6274	316	9	3	3	NUM
ejpam-6274	316	10	)	)	PUNCT
ejpam-6274	316	11	(	(	PUNCT
ejpam-6274	316	12	2025	2025	NUM
ejpam-6274	316	13	)	)	PUNCT
ejpam-6274	316	14	,	,	PUNCT
ejpam-6274	316	15	6274	6274	NUM
ejpam-6274	316	16	14	14	NUM
ejpam-6274	316	17	of	of	ADP
ejpam-6274	316	18	33	33	NUM
ejpam-6274	316	19	+	+	CCONJ
ejpam-6274	316	20	2−lλ	2−lλ	NUM
ejpam-6274	316	21	ϵθ	ϵθ	NUM
ejpam-6274	316	22	l∑	l∑	PUNCT
ejpam-6274	317	1	k=0	k=0	PROPN
ejpam-6274	317	2	2η∞q(1+ϵ)k	2η∞q(1+ϵ)k	NUM
ejpam-6274	317	3	∥∥∥∥∥∥∥1k+1	∥∥∥∥∥∥∥1k+1	VERB
ejpam-6274	317	4			PROPN
ejpam-6274	317	5	∞∑	∞∑	PROPN
ejpam-6274	317	6	j=1	j=1	NOUN
ejpam-6274	317	7	|gj	|gj	NUM
ejpam-6274	317	8	|r	|r	NOUN
ejpam-6274	317	9			PROPN
ejpam-6274	317	10	1	1	NUM
ejpam-6274	317	11	r	r	NOUN
ejpam-6274	317	12	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	317	13	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	317	14	)	)	PUNCT
ejpam-6274	317	15	p	p	X
ejpam-6274	317	16	(	(	PUNCT
ejpam-6274	317	17	·	·	PUNCT
ejpam-6274	317	18	)	)	PUNCT
ejpam-6274	317	19			NOUN
ejpam-6274	317	20	1	1	NUM
ejpam-6274	317	21	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	317	22	)	)	PUNCT
ejpam-6274	317	23	≲	≲	PROPN
ejpam-6274	317	24	hf	hf	NOUN
ejpam-6274	317	25	.	.	PUNCT
ejpam-6274	318	1	step	step	NOUN
ejpam-6274	318	2	2	2	NUM
ejpam-6274	318	3	.	.	PUNCT
ejpam-6274	319	1	let	let	VERB
ejpam-6274	319	2	∀i	∀i	NOUN
ejpam-6274	319	3	⩽	⩽	ADJ
ejpam-6274	319	4	k	k	PROPN
ejpam-6274	320	1	−	−	PROPN
ejpam-6274	320	2	2	2	NUM
ejpam-6274	320	3	,	,	PUNCT
ejpam-6274	320	4	x	x	X
ejpam-6274	320	5	∈	∈	PROPN
ejpam-6274	320	6	rk	rk	NOUN
ejpam-6274	320	7	,	,	PUNCT
ejpam-6274	320	8	1	1	NUM
ejpam-6274	320	9	<	<	X
ejpam-6274	320	10	r	r	NOUN
ejpam-6274	320	11	<	<	X
ejpam-6274	320	12	∞	∞	PROPN
ejpam-6274	320	13	,	,	PUNCT
ejpam-6274	320	14	by	by	ADP
ejpam-6274	320	15	the	the	DET
ejpam-6274	320	16	size	size	NOUN
ejpam-6274	320	17	condition	condition	NOUN
ejpam-6274	320	18	and	and	CCONJ
ejpam-6274	320	19	the	the	DET
ejpam-6274	320	20	generalized	generalize	VERB
ejpam-6274	320	21	minkowski	minkowski	PROPN
ejpam-6274	320	22	’s	’s	PART
ejpam-6274	320	23	inequality	inequality	NOUN
ejpam-6274	320	24	,	,	PUNCT
ejpam-6274	320	25	we	we	PRON
ejpam-6274	320	26	obtain	obtain	VERB
ejpam-6274	320	27			PROPN
ejpam-6274	320	28	∞∑	∞∑	PROPN
ejpam-6274	320	29	j=1	j=1	NOUN
ejpam-6274	320	30	t	t	PROPN
ejpam-6274	320	31	r	r	NOUN
ejpam-6274	320	32	(	(	PUNCT
ejpam-6274	320	33	gij	gij	PROPN
ejpam-6274	320	34	)	)	PUNCT
ejpam-6274	320	35	(	(	PUNCT
ejpam-6274	320	36	x	x	X
ejpam-6274	320	37	)	)	PUNCT
ejpam-6274	320	38			PROPN
ejpam-6274	320	39	1	1	NUM
ejpam-6274	320	40	r	r	NOUN
ejpam-6274	320	41	≲	≲	PROPN
ejpam-6274	320	42			NOUN
ejpam-6274	320	43	∞∑	∞∑	NUM
ejpam-6274	320	44	j=1	j=1	NOUN
ejpam-6274	320	45	(	(	PUNCT
ejpam-6274	320	46	2−kn	2−kn	NUM
ejpam-6274	320	47	∫	∫	PROPN
ejpam-6274	320	48	rn	rn	PROPN
ejpam-6274	320	49	∣∣gij(y)∣∣dy)r	∣∣gij(y)∣∣dy)r	PROPN
ejpam-6274	320	50			NOUN
ejpam-6274	320	51	1	1	NUM
ejpam-6274	320	52	r	r	NOUN
ejpam-6274	320	53	≲	≲	PROPN
ejpam-6274	320	54	2−kn	2−kn	NUM
ejpam-6274	320	55	∫	∫	PROPN
ejpam-6274	320	56	rn	rn	PROPN
ejpam-6274	321	1			PROPN
ejpam-6274	321	2	∞∑	∞∑	PROPN
ejpam-6274	321	3	j=1	j=1	PROPN
ejpam-6274	321	4	∣∣gij∣∣r	∣∣gij∣∣r	PUNCT
ejpam-6274	322	1			PROPN
ejpam-6274	322	2	1	1	NUM
ejpam-6274	322	3	r	r	NOUN
ejpam-6274	322	4	dy	dy	NOUN
ejpam-6274	322	5	.	.	PUNCT
ejpam-6274	323	1	by	by	ADP
ejpam-6274	323	2	hölder	hölder	PROPN
ejpam-6274	323	3	’s	’s	PART
ejpam-6274	323	4	inequality	inequality	NOUN
ejpam-6274	323	5	we	we	PRON
ejpam-6274	323	6	get	get	VERB
ejpam-6274	323	7	e1	e1	NOUN
ejpam-6274	323	8	t	t	NOUN
ejpam-6274	323	9	≲	≲	PROPN
ejpam-6274	323	10	sup	sup	NOUN
ejpam-6274	323	11	ϵ>0	ϵ>0	NOUN
ejpam-6274	323	12	sup	sup	NOUN
ejpam-6274	323	13	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	323	14	2−lλ	2−lλ	NUM
ejpam-6274	323	15	ϵθ	ϵθ	NUM
ejpam-6274	323	16	l∑	l∑	PUNCT
ejpam-6274	324	1	k=−∞	k=−∞	PROPN
ejpam-6274	325	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	DET
ejpam-6274	325	2	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PROPN
ejpam-6274	325	3	k−2∑	k−2∑	X
ejpam-6274	325	4	i=−∞	i=−∞	NUM
ejpam-6274	325	5	2−kn	2−kn	NUM
ejpam-6274	325	6	∫	∫	PROPN
ejpam-6274	325	7	rn	rn	PROPN
ejpam-6274	326	1			PROPN
ejpam-6274	326	2	∞∑	∞∑	PROPN
ejpam-6274	326	3	j=1	j=1	PROPN
ejpam-6274	326	4	∣∣gij∣∣r	∣∣gij∣∣r	PUNCT
ejpam-6274	327	1			PROPN
ejpam-6274	327	2	1	1	NUM
ejpam-6274	327	3	r	r	NOUN
ejpam-6274	327	4	dy	dy	NOUN
ejpam-6274	327	5	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	327	6	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	327	7	)	)	PUNCT
ejpam-6274	327	8	p	p	X
ejpam-6274	327	9	(	(	PUNCT
ejpam-6274	327	10	·	·	PUNCT
ejpam-6274	327	11	)	)	PUNCT
ejpam-6274	328	1			NOUN
ejpam-6274	328	2	1	1	NUM
ejpam-6274	328	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	328	4	)	)	PUNCT
ejpam-6274	329	1	=	=	PUNCT
ejpam-6274	329	2	sup	sup	NOUN
ejpam-6274	329	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	329	4	sup	sup	NOUN
ejpam-6274	329	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	329	6	2−lλ	2−lλ	NUM
ejpam-6274	329	7	ϵθ	ϵθ	NUM
ejpam-6274	329	8	l∑	l∑	X
ejpam-6274	330	1	k=−∞	k=−∞	PROPN
ejpam-6274	331	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	PRON
ejpam-6274	331	2	∥1k∥	∥1k∥	NUM
ejpam-6274	331	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	331	4	)	)	PUNCT
ejpam-6274	332	1	p	p	X
ejpam-6274	332	2	(	(	PUNCT
ejpam-6274	332	3	·	·	PUNCT
ejpam-6274	332	4	)	)	PUNCT
ejpam-6274	332	5			AUX
ejpam-6274	332	6	k−2∑	k−2∑	X
ejpam-6274	332	7	i=−∞	i=−∞	NUM
ejpam-6274	333	1	2−kn	2−kn	NUM
ejpam-6274	333	2	∫	∫	PROPN
ejpam-6274	333	3	rn	rn	PROPN
ejpam-6274	334	1			PROPN
ejpam-6274	334	2	∞∑	∞∑	PROPN
ejpam-6274	334	3	j=1	j=1	PROPN
ejpam-6274	334	4	∣∣gij∣∣r	∣∣gij∣∣r	PUNCT
ejpam-6274	335	1			PROPN
ejpam-6274	335	2	1	1	NUM
ejpam-6274	335	3	r	r	NOUN
ejpam-6274	335	4	dy	dy	NOUN
ejpam-6274	335	5			PROPN
ejpam-6274	335	6	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	335	7	)	)	PUNCT
ejpam-6274	336	1			NOUN
ejpam-6274	336	2	1	1	NUM
ejpam-6274	336	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	336	4	)	)	PUNCT
ejpam-6274	337	1	≲	≲	PROPN
ejpam-6274	337	2	sup	sup	NOUN
ejpam-6274	337	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	337	4	sup	sup	NOUN
ejpam-6274	337	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	337	6	2−lλ	2−lλ	NUM
ejpam-6274	337	7	ϵθ	ϵθ	NUM
ejpam-6274	337	8	l∑	l∑	X
ejpam-6274	337	9	k=−∞	k=−∞	PROPN
ejpam-6274	338	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	PRON
ejpam-6274	338	2	∥1k∥	∥1k∥	NUM
ejpam-6274	338	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	338	4	)	)	PUNCT
ejpam-6274	339	1	p	p	X
ejpam-6274	339	2	(	(	PUNCT
ejpam-6274	339	3	·	·	PUNCT
ejpam-6274	339	4	)	)	PUNCT
ejpam-6274	339	5			NOUN
ejpam-6274	339	6	k−2∑	k−2∑	PROPN
ejpam-6274	339	7	i=−∞	i=−∞	NUM
ejpam-6274	340	1	2−kn	2−kn	NUM
ejpam-6274	340	2	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	341	1			PROPN
ejpam-6274	341	2	∞∑	∞∑	ADJ
ejpam-6274	341	3	j=1	j=1	NOUN
ejpam-6274	341	4	|gj	|gj	NUM
ejpam-6274	341	5	|r	|r	NOUN
ejpam-6274	341	6			PROPN
ejpam-6274	341	7	1	1	NUM
ejpam-6274	341	8	r	r	NOUN
ejpam-6274	341	9	1i	1i	NOUN
ejpam-6274	341	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	341	11	p	p	X
ejpam-6274	341	12	(	(	PUNCT
ejpam-6274	341	13	·	·	PUNCT
ejpam-6274	341	14	)	)	PUNCT
ejpam-6274	341	15	∥1i∥lp′	∥1i∥lp′	PROPN
ejpam-6274	341	16	(	(	PUNCT
ejpam-6274	341	17	·	·	PUNCT
ejpam-6274	341	18	)	)	PUNCT
ejpam-6274	341	19			PROPN
ejpam-6274	341	20	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	341	21	)	)	PUNCT
ejpam-6274	341	22			NOUN
ejpam-6274	341	23	1	1	NUM
ejpam-6274	341	24	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	341	25	)	)	PUNCT
ejpam-6274	341	26	.	.	PUNCT
ejpam-6274	342	1	(	(	PUNCT
ejpam-6274	342	2	3.1	3.1	NUM
ejpam-6274	342	3	)	)	PUNCT
ejpam-6274	342	4	on	on	ADP
ejpam-6274	342	5	the	the	DET
ejpam-6274	342	6	other	other	ADJ
ejpam-6274	342	7	hand	hand	NOUN
ejpam-6274	342	8	,	,	PUNCT
ejpam-6274	342	9	by	by	ADP
ejpam-6274	342	10	using	use	VERB
ejpam-6274	342	11	lemma	lemma	PROPN
ejpam-6274	342	12	2.4	2.4	NUM
ejpam-6274	342	13	,	,	PUNCT
ejpam-6274	342	14	we	we	PRON
ejpam-6274	342	15	have	have	VERB
ejpam-6274	342	16	2−kn	2−kn	NUM
ejpam-6274	342	17	∥1k∥p	∥1k∥p	ADJ
ejpam-6274	342	18	(	(	PUNCT
ejpam-6274	342	19	·	·	PUNCT
ejpam-6274	342	20	)	)	PUNCT
ejpam-6274	342	21	∥1i∥lp′	∥1i∥lp′	PROPN
ejpam-6274	342	22	(	(	PUNCT
ejpam-6274	342	23	·	·	PUNCT
ejpam-6274	342	24	)	)	PUNCT
ejpam-6274	343	1	≲	≲	PROPN
ejpam-6274	343	2	2−kn2	2−kn2	NUM
ejpam-6274	343	3	kn	kn	PROPN
ejpam-6274	343	4	p(0	p(0	PROPN
ejpam-6274	343	5	)	)	PUNCT
ejpam-6274	343	6	2	2	NUM
ejpam-6274	343	7	in	in	ADP
ejpam-6274	343	8	p′(0	p′(0	NOUN
ejpam-6274	343	9	)	)	PUNCT
ejpam-6274	343	10	≲	≲	PROPN
ejpam-6274	343	11	2	2	NUM
ejpam-6274	343	12	(	(	PUNCT
ejpam-6274	343	13	i−k)n	i−k)n	PROPN
ejpam-6274	343	14	p′(0	p′(0	NOUN
ejpam-6274	343	15	)	)	PUNCT
ejpam-6274	343	16	.	.	PUNCT
ejpam-6274	344	1	(	(	PUNCT
ejpam-6274	344	2	3.2	3.2	NUM
ejpam-6274	344	3	)	)	PUNCT
ejpam-6274	344	4	we	we	PRON
ejpam-6274	344	5	put	put	VERB
ejpam-6274	344	6	(	(	PUNCT
ejpam-6274	344	7	3.2	3.2	NUM
ejpam-6274	344	8	)	)	PUNCT
ejpam-6274	344	9	into	into	ADP
ejpam-6274	344	10	(	(	PUNCT
ejpam-6274	344	11	3.1	3.1	NUM
ejpam-6274	344	12	)	)	PUNCT
ejpam-6274	344	13	and	and	CCONJ
ejpam-6274	344	14	get	get	VERB
ejpam-6274	344	15	m.	m.	NOUN
ejpam-6274	344	16	sultan	sultan	PROPN
ejpam-6274	344	17	,	,	PUNCT
ejpam-6274	344	18	b.	b.	PROPN
ejpam-6274	344	19	sultan	sultan	PROPN
ejpam-6274	344	20	,	,	PUNCT
ejpam-6274	344	21	i	i	PROPN
ejpam-6274	344	22	-	-	PUNCT
ejpam-6274	344	23	l.	l.	PROPN
ejpam-6274	344	24	popa	popa	PROPN
ejpam-6274	344	25	/	/	SYM
ejpam-6274	344	26	eur	eur	PROPN
ejpam-6274	344	27	.	.	PUNCT
ejpam-6274	345	1	j.	j.	PROPN
ejpam-6274	345	2	pure	pure	PROPN
ejpam-6274	345	3	appl	appl	PROPN
ejpam-6274	345	4	.	.	PROPN
ejpam-6274	345	5	math	math	PROPN
ejpam-6274	345	6	,	,	PUNCT
ejpam-6274	345	7	18	18	NUM
ejpam-6274	345	8	(	(	PUNCT
ejpam-6274	345	9	3	3	NUM
ejpam-6274	345	10	)	)	PUNCT
ejpam-6274	345	11	(	(	PUNCT
ejpam-6274	345	12	2025	2025	NUM
ejpam-6274	345	13	)	)	PUNCT
ejpam-6274	345	14	,	,	PUNCT
ejpam-6274	345	15	6274	6274	NUM
ejpam-6274	345	16	15	15	NUM
ejpam-6274	345	17	of	of	ADP
ejpam-6274	345	18	33	33	NUM
ejpam-6274	345	19	e1	e1	NOUN
ejpam-6274	345	20	t	t	NOUN
ejpam-6274	345	21	≲	≲	PROPN
ejpam-6274	345	22	sup	sup	NOUN
ejpam-6274	345	23	ϵ>0	ϵ>0	NOUN
ejpam-6274	345	24	sup	sup	NOUN
ejpam-6274	345	25	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	345	26	2−lλ	2−lλ	NUM
ejpam-6274	345	27	ϵθ	ϵθ	NUM
ejpam-6274	345	28	l∑	l∑	X
ejpam-6274	345	29	k=−∞	k=−∞	PROPN
ejpam-6274	345	30	2η(0)kq(1+ϵ	2η(0)kq(1+ϵ	NUM
ejpam-6274	345	31	)	)	PUNCT
ejpam-6274	345	32			AUX
ejpam-6274	345	33	k−2∑	k−2∑	X
ejpam-6274	345	34	i=−∞	i=−∞	NOUN
ejpam-6274	345	35	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	346	1			PROPN
ejpam-6274	346	2	∞∑	∞∑	NUM
ejpam-6274	346	3	j=1	j=1	NOUN
ejpam-6274	346	4	|gj	|gj	NUM
ejpam-6274	346	5	|r	|r	NOUN
ejpam-6274	346	6			PROPN
ejpam-6274	346	7	1	1	NUM
ejpam-6274	346	8	r	r	NOUN
ejpam-6274	346	9	1i	1i	NOUN
ejpam-6274	346	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	346	11	p	p	X
ejpam-6274	346	12	(	(	PUNCT
ejpam-6274	346	13	·	·	PUNCT
ejpam-6274	346	14	)	)	PUNCT
ejpam-6274	346	15	2	2	NUM
ejpam-6274	346	16	(	(	PUNCT
ejpam-6274	346	17	i−k)n	i−k)n	PROPN
ejpam-6274	346	18	p′(0	p′(0	NOUN
ejpam-6274	346	19	)	)	PUNCT
ejpam-6274	346	20			PROPN
ejpam-6274	346	21	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	346	22	)	)	PUNCT
ejpam-6274	346	23			NOUN
ejpam-6274	346	24	1	1	NUM
ejpam-6274	346	25	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	346	26	)	)	PUNCT
ejpam-6274	347	1	=	=	PUNCT
ejpam-6274	347	2	sup	sup	NOUN
ejpam-6274	347	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	347	4	sup	sup	NOUN
ejpam-6274	347	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	347	6	2−lλ	2−lλ	NUM
ejpam-6274	347	7	ϵθ	ϵθ	NUM
ejpam-6274	347	8	l∑	l∑	PROPN
ejpam-6274	347	9	k=−∞	k=−∞	PROPN
ejpam-6274	348	1			PROPN
ejpam-6274	348	2	k−2∑	k−2∑	PROPN
ejpam-6274	348	3	i=−∞	i=−∞	NUM
ejpam-6274	348	4	2η(0)k	2η(0)k	NUM
ejpam-6274	348	5	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	349	1			PROPN
ejpam-6274	349	2	∞∑	∞∑	ADJ
ejpam-6274	349	3	j=1	j=1	NOUN
ejpam-6274	349	4	|gj	|gj	NUM
ejpam-6274	349	5	|r	|r	NOUN
ejpam-6274	349	6			PROPN
ejpam-6274	349	7	1	1	NUM
ejpam-6274	349	8	r	r	NOUN
ejpam-6274	349	9	1i	1i	NOUN
ejpam-6274	349	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	349	11	p	p	X
ejpam-6274	349	12	(	(	PUNCT
ejpam-6274	349	13	·	·	PUNCT
ejpam-6274	349	14	)	)	PUNCT
ejpam-6274	349	15	2	2	NUM
ejpam-6274	349	16	(	(	PUNCT
ejpam-6274	349	17	i−k)n	i−k)n	PROPN
ejpam-6274	349	18	p′(0	p′(0	NOUN
ejpam-6274	349	19	)	)	PUNCT
ejpam-6274	349	20			PROPN
ejpam-6274	349	21	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	349	22	)	)	PUNCT
ejpam-6274	349	23			NOUN
ejpam-6274	349	24	1	1	NUM
ejpam-6274	349	25	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	349	26	)	)	PUNCT
ejpam-6274	349	27	=	=	PUNCT
ejpam-6274	349	28	sup	sup	NOUN
ejpam-6274	349	29	ϵ>0	ϵ>0	NOUN
ejpam-6274	349	30	sup	sup	NOUN
ejpam-6274	349	31	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	349	32	2−lλ	2−lλ	NUM
ejpam-6274	349	33	ϵθ	ϵθ	NUM
ejpam-6274	349	34	l∑	l∑	PROPN
ejpam-6274	349	35	k=−∞	k=−∞	PROPN
ejpam-6274	350	1			PROPN
ejpam-6274	350	2	k−2∑	k−2∑	PROPN
ejpam-6274	350	3	i=−∞	i=−∞	NUM
ejpam-6274	350	4	2η(0)i	2η(0)i	NUM
ejpam-6274	350	5	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	351	1			PROPN
ejpam-6274	351	2	∞∑	∞∑	ADJ
ejpam-6274	351	3	j=1	j=1	NOUN
ejpam-6274	351	4	|gj	|gj	NUM
ejpam-6274	351	5	|r	|r	NOUN
ejpam-6274	351	6			PROPN
ejpam-6274	351	7	1	1	NUM
ejpam-6274	351	8	r	r	NOUN
ejpam-6274	351	9	1i	1i	NOUN
ejpam-6274	351	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	351	11	p	p	X
ejpam-6274	351	12	(	(	PUNCT
ejpam-6274	351	13	·	·	PUNCT
ejpam-6274	351	14	)	)	PUNCT
ejpam-6274	351	15	2b(i−k	2b(i−k	NUM
ejpam-6274	351	16	)	)	PUNCT
ejpam-6274	351	17			PROPN
ejpam-6274	351	18	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	351	19	)	)	PUNCT
ejpam-6274	351	20			NOUN
ejpam-6274	351	21	1	1	NUM
ejpam-6274	351	22	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	351	23	)	)	PUNCT
ejpam-6274	351	24	,	,	PUNCT
ejpam-6274	351	25	(	(	PUNCT
ejpam-6274	351	26	3.3	3.3	NUM
ejpam-6274	351	27	)	)	PUNCT
ejpam-6274	351	28	here	here	ADV
ejpam-6274	351	29	b	b	X
ejpam-6274	351	30	:	:	PUNCT
ejpam-6274	351	31	=	=	NOUN
ejpam-6274	351	32	n	n	PRON
ejpam-6274	351	33	p′(0	p′(0	NOUN
ejpam-6274	351	34	)	)	PUNCT
ejpam-6274	351	35	−	−	PROPN
ejpam-6274	351	36	η(0	η(0	PROPN
ejpam-6274	351	37	)	)	PUNCT
ejpam-6274	351	38	>	>	X
ejpam-6274	351	39	0	0	X
ejpam-6274	351	40	.	.	PUNCT
ejpam-6274	352	1	let	let	VERB
ejpam-6274	352	2	1	1	NUM
ejpam-6274	352	3	<	<	X
ejpam-6274	352	4	q(1	q(1	PROPN
ejpam-6274	352	5	+	+	CCONJ
ejpam-6274	352	6	ϵ	ϵ	X
ejpam-6274	352	7	)	)	PUNCT
ejpam-6274	352	8	<	<	X
ejpam-6274	352	9	∞	∞	PROPN
ejpam-6274	352	10	,	,	PUNCT
ejpam-6274	352	11	then	then	ADV
ejpam-6274	352	12	the	the	DET
ejpam-6274	352	13	hölder	hölder	NOUN
ejpam-6274	352	14	’s	’s	PART
ejpam-6274	352	15	inequality	inequality	NOUN
ejpam-6274	352	16	yields	yield	NOUN
ejpam-6274	352	17	e1	e1	PROPN
ejpam-6274	352	18	t	t	NOUN
ejpam-6274	352	19	≲	≲	PROPN
ejpam-6274	352	20	sup	sup	NOUN
ejpam-6274	352	21	ϵ>0	ϵ>0	NOUN
ejpam-6274	352	22	sup	sup	NOUN
ejpam-6274	352	23	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	352	24	2−lλ	2−lλ	NUM
ejpam-6274	352	25	ϵθ	ϵθ	NUM
ejpam-6274	352	26	l∑	l∑	PUNCT
ejpam-6274	353	1	k=−∞	k=−∞	PROPN
ejpam-6274	354	1			PROPN
ejpam-6274	354	2	k−2∑	k−2∑	X
ejpam-6274	354	3	i=−∞	i=−∞	NOUN
ejpam-6274	354	4	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	354	5	)	)	PUNCT
ejpam-6274	354	6	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	355	1			PROPN
ejpam-6274	355	2	∞∑	∞∑	NUM
ejpam-6274	355	3	j=1	j=1	NOUN
ejpam-6274	355	4	|gj	|gj	NUM
ejpam-6274	355	5	|r	|r	NOUN
ejpam-6274	355	6			PROPN
ejpam-6274	355	7	1	1	NUM
ejpam-6274	355	8	r	r	NOUN
ejpam-6274	355	9	1i	1i	NOUN
ejpam-6274	355	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	355	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	355	12	)	)	PUNCT
ejpam-6274	355	13	p	p	X
ejpam-6274	355	14	(	(	PUNCT
ejpam-6274	355	15	·	·	PUNCT
ejpam-6274	355	16	)	)	PUNCT
ejpam-6274	355	17	2	2	NUM
ejpam-6274	355	18	bq(1+ϵ)(i−k	bq(1+ϵ)(i−k	PROPN
ejpam-6274	355	19	)	)	PUNCT
ejpam-6274	355	20	2	2	NUM
ejpam-6274	355	21			NOUN
ejpam-6274	355	22	×	×	NOUN
ejpam-6274	355	23	(	(	PUNCT
ejpam-6274	355	24	k−2∑	k−2∑	PROPN
ejpam-6274	355	25	i=−∞	i=−∞	SYM
ejpam-6274	355	26	2	2	NUM
ejpam-6274	355	27	b(q(1+ϵ))′(i−k	b(q(1+ϵ))′(i−k	NOUN
ejpam-6274	355	28	)	)	PUNCT
ejpam-6274	355	29	2	2	NUM
ejpam-6274	355	30	)	)	PUNCT
ejpam-6274	355	31	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	355	32	)	)	PUNCT
ejpam-6274	355	33	(	(	PUNCT
ejpam-6274	355	34	q(1+ϵ))′	q(1+ϵ))′	NUM
ejpam-6274	355	35			ADP
ejpam-6274	355	36	1	1	NUM
ejpam-6274	355	37	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	355	38	)	)	PUNCT
ejpam-6274	355	39	≲	≲	PROPN
ejpam-6274	355	40	sup	sup	NOUN
ejpam-6274	355	41	ϵ>0	ϵ>0	NOUN
ejpam-6274	355	42	sup	sup	NOUN
ejpam-6274	355	43	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	355	44	2−lλ	2−lλ	NUM
ejpam-6274	355	45	ϵθ	ϵθ	NUM
ejpam-6274	355	46	l∑	l∑	PUNCT
ejpam-6274	355	47	k=−∞	k=−∞	PROPN
ejpam-6274	356	1	k−2∑	k−2∑	PROPN
ejpam-6274	356	2	i=−∞	i=−∞	NOUN
ejpam-6274	356	3	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	356	4	)	)	PUNCT
ejpam-6274	356	5	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	357	1			PROPN
ejpam-6274	357	2	∞∑	∞∑	NUM
ejpam-6274	357	3	j=1	j=1	NOUN
ejpam-6274	357	4	|gj	|gj	NUM
ejpam-6274	357	5	|r	|r	NOUN
ejpam-6274	357	6			PROPN
ejpam-6274	357	7	1	1	NUM
ejpam-6274	357	8	r	r	NOUN
ejpam-6274	357	9	1i	1i	NOUN
ejpam-6274	357	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	357	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	357	12	)	)	PUNCT
ejpam-6274	357	13	p	p	X
ejpam-6274	357	14	(	(	PUNCT
ejpam-6274	357	15	·	·	PUNCT
ejpam-6274	357	16	)	)	PUNCT
ejpam-6274	357	17	2	2	NUM
ejpam-6274	357	18	bq(1+ϵ)(i−k	bq(1+ϵ)(i−k	PROPN
ejpam-6274	357	19	)	)	PUNCT
ejpam-6274	357	20	2	2	NUM
ejpam-6274	358	1			PROPN
ejpam-6274	358	2	1	1	NUM
ejpam-6274	358	3	q	q	NOUN
ejpam-6274	358	4	=	=	NOUN
ejpam-6274	358	5	sup	sup	NOUN
ejpam-6274	358	6	ϵ>0	ϵ>0	NOUN
ejpam-6274	358	7	sup	sup	NOUN
ejpam-6274	358	8	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	358	9	2−lλ	2−lλ	NUM
ejpam-6274	358	10	ϵθ	ϵθ	NUM
ejpam-6274	358	11	l−2∑	l−2∑	PRON
ejpam-6274	358	12	i=−∞	i=−∞	NOUN
ejpam-6274	358	13	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	358	14	)	)	PUNCT
ejpam-6274	358	15	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	359	1			PROPN
ejpam-6274	359	2	∞∑	∞∑	NUM
ejpam-6274	359	3	j=1	j=1	NOUN
ejpam-6274	359	4	|gj	|gj	NUM
ejpam-6274	359	5	|r	|r	NOUN
ejpam-6274	359	6			PROPN
ejpam-6274	359	7	1	1	NUM
ejpam-6274	359	8	r	r	NOUN
ejpam-6274	359	9	1i	1i	NOUN
ejpam-6274	359	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	359	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	359	12	)	)	PUNCT
ejpam-6274	359	13	p	p	X
ejpam-6274	359	14	(	(	PUNCT
ejpam-6274	359	15	·	·	PUNCT
ejpam-6274	359	16	)	)	PUNCT
ejpam-6274	359	17	l∑	l∑	PUNCT
ejpam-6274	360	1	k	k	X
ejpam-6274	361	1	=	=	NOUN
ejpam-6274	361	2	i+2	i+2	PROPN
ejpam-6274	361	3	2	2	NUM
ejpam-6274	361	4	bq(1+ϵ)(i−k	bq(1+ϵ)(i−k	PROPN
ejpam-6274	361	5	)	)	PUNCT
ejpam-6274	361	6	2	2	NUM
ejpam-6274	362	1			NOUN
ejpam-6274	362	2	1	1	NUM
ejpam-6274	362	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	362	4	)	)	PUNCT
ejpam-6274	363	1	≲	≲	PROPN
ejpam-6274	363	2	sup	sup	NOUN
ejpam-6274	363	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	363	4	sup	sup	NOUN
ejpam-6274	363	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	363	6	2−lλ	2−lλ	NUM
ejpam-6274	363	7	ϵθ	ϵθ	NUM
ejpam-6274	363	8	l−2∑	l−2∑	PRON
ejpam-6274	363	9	i=−∞	i=−∞	NOUN
ejpam-6274	363	10	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	363	11	)	)	PUNCT
ejpam-6274	363	12	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	364	1			PROPN
ejpam-6274	364	2	∞∑	∞∑	NUM
ejpam-6274	364	3	j=1	j=1	NOUN
ejpam-6274	364	4	|gj	|gj	NUM
ejpam-6274	364	5	|r	|r	NOUN
ejpam-6274	364	6			PROPN
ejpam-6274	364	7	1	1	NUM
ejpam-6274	364	8	r	r	NOUN
ejpam-6274	364	9	1i	1i	NOUN
ejpam-6274	364	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	364	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	364	12	)	)	PUNCT
ejpam-6274	364	13	p	p	X
ejpam-6274	364	14	(	(	PUNCT
ejpam-6274	364	15	·	·	PUNCT
ejpam-6274	364	16	)	)	PUNCT
ejpam-6274	364	17			NOUN
ejpam-6274	364	18	1	1	NUM
ejpam-6274	364	19	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	364	20	)	)	PUNCT
ejpam-6274	364	21	≲	≲	PROPN
ejpam-6274	364	22	ef	ef	PROPN
ejpam-6274	364	23	.	.	PUNCT
ejpam-6274	365	1	m.	m.	PROPN
ejpam-6274	365	2	sultan	sultan	PROPN
ejpam-6274	365	3	,	,	PUNCT
ejpam-6274	365	4	b.	b.	PROPN
ejpam-6274	365	5	sultan	sultan	PROPN
ejpam-6274	365	6	,	,	PUNCT
ejpam-6274	365	7	i	i	PROPN
ejpam-6274	365	8	-	-	PUNCT
ejpam-6274	365	9	l.	l.	PROPN
ejpam-6274	365	10	popa	popa	PROPN
ejpam-6274	365	11	/	/	SYM
ejpam-6274	365	12	eur	eur	PROPN
ejpam-6274	365	13	.	.	PUNCT
ejpam-6274	366	1	j.	j.	PROPN
ejpam-6274	366	2	pure	pure	PROPN
ejpam-6274	366	3	appl	appl	PROPN
ejpam-6274	366	4	.	.	PROPN
ejpam-6274	366	5	math	math	PROPN
ejpam-6274	366	6	,	,	PUNCT
ejpam-6274	366	7	18	18	NUM
ejpam-6274	366	8	(	(	PUNCT
ejpam-6274	366	9	3	3	NUM
ejpam-6274	366	10	)	)	PUNCT
ejpam-6274	366	11	(	(	PUNCT
ejpam-6274	366	12	2025	2025	NUM
ejpam-6274	366	13	)	)	PUNCT
ejpam-6274	366	14	,	,	PUNCT
ejpam-6274	366	15	6274	6274	NUM
ejpam-6274	366	16	16	16	NUM
ejpam-6274	366	17	of	of	ADP
ejpam-6274	366	18	33	33	NUM
ejpam-6274	366	19	if	if	SCONJ
ejpam-6274	366	20	0	0	NUM
ejpam-6274	366	21	<	<	X
ejpam-6274	366	22	q(1	q(1	PROPN
ejpam-6274	367	1	+	+	CCONJ
ejpam-6274	367	2	ϵ	ϵ	X
ejpam-6274	367	3	)	)	PUNCT
ejpam-6274	367	4	⩽	⩽	NOUN
ejpam-6274	367	5	1	1	NUM
ejpam-6274	367	6	,	,	PUNCT
ejpam-6274	367	7	then	then	ADV
ejpam-6274	367	8	we	we	PRON
ejpam-6274	367	9	have	have	VERB
ejpam-6274	367	10	(	(	PUNCT
ejpam-6274	367	11	∞∑	∞∑	NUM
ejpam-6274	368	1	i=1	i=1	PROPN
ejpam-6274	368	2	ai	ai	VERB
ejpam-6274	368	3	)	)	PUNCT
ejpam-6274	368	4	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	368	5	)	)	PUNCT
ejpam-6274	368	6	⩽	⩽	NOUN
ejpam-6274	369	1	∞∑	∞∑	PROPN
ejpam-6274	369	2	i=1	i=1	ADP
ejpam-6274	369	3	a	a	DET
ejpam-6274	369	4	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	369	5	)	)	PUNCT
ejpam-6274	370	1	i	i	PRON
ejpam-6274	370	2	,	,	PUNCT
ejpam-6274	370	3	i	i	PRON
ejpam-6274	370	4	∈	∈	PROPN
ejpam-6274	370	5	n	n	AUX
ejpam-6274	370	6	,	,	PUNCT
ejpam-6274	370	7	ai	ai	VERB
ejpam-6274	370	8	⩾	⩾	PROPN
ejpam-6274	370	9	0	0	NUM
ejpam-6274	370	10	,	,	PUNCT
ejpam-6274	370	11	(	(	PUNCT
ejpam-6274	370	12	3.4	3.4	NUM
ejpam-6274	370	13	)	)	PUNCT
ejpam-6274	370	14	and	and	CCONJ
ejpam-6274	370	15	obtain	obtain	VERB
ejpam-6274	370	16	e1	e1	NOUN
ejpam-6274	370	17	t	t	NOUN
ejpam-6274	370	18	≲	≲	PROPN
ejpam-6274	370	19	sup	sup	NOUN
ejpam-6274	370	20	ϵ>0	ϵ>0	NOUN
ejpam-6274	370	21	sup	sup	NOUN
ejpam-6274	370	22	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	370	23	2−lλ	2−lλ	NUM
ejpam-6274	370	24	ϵθ	ϵθ	NUM
ejpam-6274	370	25	l∑	l∑	PUNCT
ejpam-6274	371	1	k=−∞	k=−∞	PROPN
ejpam-6274	371	2	k−2∑	k−2∑	PROPN
ejpam-6274	371	3	i=−∞	i=−∞	NUM
ejpam-6274	372	1	2η(0)q(1+ϵ)i	2η(0)q(1+ϵ)i	NUM
ejpam-6274	372	2	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	373	1			PROPN
ejpam-6274	373	2	∞∑	∞∑	ADJ
ejpam-6274	373	3	j=1	j=1	NOUN
ejpam-6274	373	4	|gj	|gj	NUM
ejpam-6274	373	5	|r	|r	NOUN
ejpam-6274	373	6			PROPN
ejpam-6274	373	7	1	1	NUM
ejpam-6274	373	8	r	r	NOUN
ejpam-6274	373	9	1i	1i	NOUN
ejpam-6274	373	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	373	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	373	12	)	)	PUNCT
ejpam-6274	373	13	p	p	X
ejpam-6274	373	14	(	(	PUNCT
ejpam-6274	373	15	·	·	PUNCT
ejpam-6274	373	16	)	)	PUNCT
ejpam-6274	373	17	2bq(1+ϵ)(i−k	2bq(1+ϵ)(i−k	PROPN
ejpam-6274	373	18	)	)	PUNCT
ejpam-6274	373	19			NOUN
ejpam-6274	373	20	1	1	NUM
ejpam-6274	373	21	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	373	22	)	)	PUNCT
ejpam-6274	374	1	=	=	PUNCT
ejpam-6274	374	2	sup	sup	NOUN
ejpam-6274	374	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	374	4	sup	sup	NOUN
ejpam-6274	374	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	374	6	2−lλ	2−lλ	NUM
ejpam-6274	374	7	ϵθ	ϵθ	NUM
ejpam-6274	374	8	l−2∑	l−2∑	PRON
ejpam-6274	374	9	i=−∞	i=−∞	NOUN
ejpam-6274	374	10	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	374	11	)	)	PUNCT
ejpam-6274	374	12	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	375	1			PROPN
ejpam-6274	375	2	∞∑	∞∑	NUM
ejpam-6274	375	3	j=1	j=1	NOUN
ejpam-6274	375	4	|gj	|gj	NUM
ejpam-6274	375	5	|r	|r	NOUN
ejpam-6274	375	6			PROPN
ejpam-6274	375	7	1	1	NUM
ejpam-6274	375	8	r	r	NOUN
ejpam-6274	375	9	1i	1i	NOUN
ejpam-6274	375	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	375	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	375	12	)	)	PUNCT
ejpam-6274	375	13	p	p	X
ejpam-6274	375	14	(	(	PUNCT
ejpam-6274	375	15	·	·	PUNCT
ejpam-6274	375	16	)	)	PUNCT
ejpam-6274	375	17	l∑	l∑	PUNCT
ejpam-6274	376	1	k	k	X
ejpam-6274	376	2	=	=	PROPN
ejpam-6274	376	3	i+2	i+2	PROPN
ejpam-6274	376	4	2bq(1+ϵ)(i−k	2bq(1+ϵ)(i−k	PROPN
ejpam-6274	376	5	)	)	PUNCT
ejpam-6274	376	6			NOUN
ejpam-6274	376	7	1	1	NUM
ejpam-6274	376	8	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	376	9	)	)	PUNCT
ejpam-6274	376	10	≲	≲	PROPN
ejpam-6274	376	11	sup	sup	NOUN
ejpam-6274	376	12	ϵ>0	ϵ>0	NOUN
ejpam-6274	376	13	sup	sup	NOUN
ejpam-6274	376	14	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	376	15	2−lλ	2−lλ	NUM
ejpam-6274	376	16	ϵθ	ϵθ	NUM
ejpam-6274	376	17	l−2∑	l−2∑	PRON
ejpam-6274	376	18	i=−∞	i=−∞	NOUN
ejpam-6274	376	19	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	376	20	)	)	PUNCT
ejpam-6274	376	21	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	377	1			PROPN
ejpam-6274	377	2	∞∑	∞∑	NUM
ejpam-6274	377	3	j=1	j=1	NOUN
ejpam-6274	377	4	|gj	|gj	NUM
ejpam-6274	377	5	|r	|r	NOUN
ejpam-6274	377	6			PROPN
ejpam-6274	377	7	1	1	NUM
ejpam-6274	377	8	r	r	NOUN
ejpam-6274	377	9	1i	1i	NOUN
ejpam-6274	377	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	377	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	377	12	)	)	PUNCT
ejpam-6274	377	13	p	p	X
ejpam-6274	377	14	(	(	PUNCT
ejpam-6274	377	15	·	·	PUNCT
ejpam-6274	377	16	)	)	PUNCT
ejpam-6274	377	17			NOUN
ejpam-6274	377	18	1	1	NUM
ejpam-6274	377	19	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	377	20	)	)	PUNCT
ejpam-6274	377	21	≲	≲	PROPN
ejpam-6274	377	22	ef	ef	X
ejpam-6274	377	23	.	.	PUNCT
ejpam-6274	378	1	similarly	similarly	ADV
ejpam-6274	378	2	,	,	PUNCT
ejpam-6274	378	3	by	by	ADP
ejpam-6274	378	4	using	use	VERB
ejpam-6274	378	5	lemmas	lemmas	PROPN
ejpam-6274	378	6	2.5	2.5	NUM
ejpam-6274	378	7	and	and	CCONJ
ejpam-6274	378	8	3.2	3.2	NUM
ejpam-6274	378	9	,	,	PUNCT
ejpam-6274	378	10	we	we	PRON
ejpam-6274	378	11	have	have	VERB
ejpam-6274	378	12	2−kn	2−kn	NUM
ejpam-6274	378	13	∥1k∥p	∥1k∥p	ADJ
ejpam-6274	378	14	(	(	PUNCT
ejpam-6274	378	15	·	·	PUNCT
ejpam-6274	378	16	)	)	PUNCT
ejpam-6274	378	17	∥1i∥lp′	∥1i∥lp′	PROPN
ejpam-6274	378	18	(	(	PUNCT
ejpam-6274	378	19	·	·	PUNCT
ejpam-6274	378	20	)	)	PUNCT
ejpam-6274	379	1	≲	≲	PROPN
ejpam-6274	379	2	2−kn	2−kn	NUM
ejpam-6274	379	3	∥1bi∥lp′	∥1bi∥lp′	NOUN
ejpam-6274	379	4	(	(	PUNCT
ejpam-6274	379	5	·	·	PUNCT
ejpam-6274	379	6	)	)	PUNCT
ejpam-6274	379	7	|bk|	|bk|	PROPN
ejpam-6274	379	8	∥1bk	∥1bk	NUM
ejpam-6274	379	9	∥−1	∥−1	X
ejpam-6274	379	10	lp′	lp′	ADJ
ejpam-6274	379	11	(	(	PUNCT
ejpam-6274	379	12	·	·	PUNCT
ejpam-6274	379	13	)	)	PUNCT
ejpam-6274	379	14	≲	≲	PROPN
ejpam-6274	379	15	2nω2(i−k	2nω2(i−k	NUM
ejpam-6274	379	16	)	)	PUNCT
ejpam-6274	379	17	.	.	PUNCT
ejpam-6274	380	1	h1	h1	PROPN
ejpam-6274	380	2	t	t	PROPN
ejpam-6274	380	3	≲	≲	PROPN
ejpam-6274	380	4	2−lλ	2−lλ	NUM
ejpam-6274	380	5	ϵθ	ϵθ	NUM
ejpam-6274	381	1	∞∑	∞∑	ADJ
ejpam-6274	381	2	k=0	k=0	PROPN
ejpam-6274	381	3			X
ejpam-6274	381	4	k−2∑	k−2∑	X
ejpam-6274	381	5	i=−∞	i=−∞	PRON
ejpam-6274	381	6	2η∞i	2η∞i	NUM
ejpam-6274	381	7	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	382	1			PROPN
ejpam-6274	382	2	∞∑	∞∑	NUM
ejpam-6274	382	3	j=1	j=1	NOUN
ejpam-6274	382	4	|gj	|gj	NUM
ejpam-6274	382	5	|r	|r	NOUN
ejpam-6274	382	6			PROPN
ejpam-6274	382	7	1	1	NUM
ejpam-6274	382	8	r	r	NOUN
ejpam-6274	382	9	1i	1i	NOUN
ejpam-6274	382	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	382	11	p	p	X
ejpam-6274	382	12	(	(	PUNCT
ejpam-6274	382	13	·	·	PUNCT
ejpam-6274	382	14	)	)	PUNCT
ejpam-6274	382	15	2b1(i−k	2b1(i−k	NOUN
ejpam-6274	382	16	)	)	PUNCT
ejpam-6274	382	17			PROPN
ejpam-6274	382	18	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	382	19	)	)	PUNCT
ejpam-6274	382	20			NOUN
ejpam-6274	382	21	1	1	NUM
ejpam-6274	382	22	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	382	23	)	)	PUNCT
ejpam-6274	382	24	here	here	ADV
ejpam-6274	382	25	b1	b1	NOUN
ejpam-6274	382	26	=	=	SYM
ejpam-6274	382	27	nω2	nω2	PROPN
ejpam-6274	382	28	−	−	PUNCT
ejpam-6274	383	1	η∞	η∞	ADP
ejpam-6274	383	2	>	>	X
ejpam-6274	383	3	0	0	X
ejpam-6274	383	4	.	.	PUNCT
ejpam-6274	384	1	for	for	ADP
ejpam-6274	384	2	1	1	NUM
ejpam-6274	384	3	<	<	X
ejpam-6274	384	4	q(1	q(1	PROPN
ejpam-6274	384	5	+	+	CCONJ
ejpam-6274	384	6	ϵ	ϵ	X
ejpam-6274	384	7	)	)	PUNCT
ejpam-6274	384	8	<	<	X
ejpam-6274	384	9	∞	∞	PROPN
ejpam-6274	384	10	,	,	PUNCT
ejpam-6274	384	11	using	use	VERB
ejpam-6274	384	12	hölder	hölder	NOUN
ejpam-6274	384	13	’s	’s	PART
ejpam-6274	384	14	inequality	inequality	NOUN
ejpam-6274	384	15	,	,	PUNCT
ejpam-6274	384	16	we	we	PRON
ejpam-6274	384	17	have	have	VERB
ejpam-6274	384	18	m.	m.	NOUN
ejpam-6274	384	19	sultan	sultan	PROPN
ejpam-6274	384	20	,	,	PUNCT
ejpam-6274	384	21	b.	b.	PROPN
ejpam-6274	384	22	sultan	sultan	PROPN
ejpam-6274	384	23	,	,	PUNCT
ejpam-6274	384	24	i	i	PROPN
ejpam-6274	384	25	-	-	PUNCT
ejpam-6274	384	26	l.	l.	PROPN
ejpam-6274	384	27	popa	popa	PROPN
ejpam-6274	384	28	/	/	SYM
ejpam-6274	384	29	eur	eur	PROPN
ejpam-6274	384	30	.	.	PUNCT
ejpam-6274	385	1	j.	j.	PROPN
ejpam-6274	385	2	pure	pure	PROPN
ejpam-6274	385	3	appl	appl	PROPN
ejpam-6274	385	4	.	.	PROPN
ejpam-6274	385	5	math	math	PROPN
ejpam-6274	385	6	,	,	PUNCT
ejpam-6274	385	7	18	18	NUM
ejpam-6274	385	8	(	(	PUNCT
ejpam-6274	385	9	3	3	NUM
ejpam-6274	385	10	)	)	PUNCT
ejpam-6274	385	11	(	(	PUNCT
ejpam-6274	385	12	2025	2025	NUM
ejpam-6274	385	13	)	)	PUNCT
ejpam-6274	385	14	,	,	PUNCT
ejpam-6274	385	15	6274	6274	NUM
ejpam-6274	385	16	17	17	NUM
ejpam-6274	385	17	of	of	ADP
ejpam-6274	385	18	33	33	NUM
ejpam-6274	385	19	h1	h1	NOUN
ejpam-6274	385	20	t	t	NOUN
ejpam-6274	385	21	≲	≲	PROPN
ejpam-6274	385	22	2−lλ	2−lλ	NUM
ejpam-6274	385	23	ϵθ	ϵθ	NUM
ejpam-6274	385	24	l∑	l∑	PUNCT
ejpam-6274	386	1	k=0	k=0	PROPN
ejpam-6274	386	2	k−2∑	k−2∑	PROPN
ejpam-6274	386	3	i=−∞	i=−∞	NOUN
ejpam-6274	386	4	2η∞iq(1+ϵ	2η∞iq(1+ϵ	NUM
ejpam-6274	386	5	)	)	PUNCT
ejpam-6274	386	6	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	387	1			PROPN
ejpam-6274	387	2	∞∑	∞∑	NUM
ejpam-6274	387	3	j=1	j=1	NOUN
ejpam-6274	387	4	|gj	|gj	NUM
ejpam-6274	387	5	|r	|r	NOUN
ejpam-6274	387	6			PROPN
ejpam-6274	387	7	1	1	NUM
ejpam-6274	387	8	r	r	NOUN
ejpam-6274	387	9	1i	1i	NOUN
ejpam-6274	387	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	387	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	387	12	)	)	PUNCT
ejpam-6274	387	13	p	p	X
ejpam-6274	387	14	(	(	PUNCT
ejpam-6274	387	15	·	·	PUNCT
ejpam-6274	387	16	)	)	PUNCT
ejpam-6274	387	17	2	2	NUM
ejpam-6274	387	18	bq(i−k	bq(i−k	NOUN
ejpam-6274	387	19	)	)	PUNCT
ejpam-6274	387	20	2	2	NUM
ejpam-6274	387	21	(	(	PUNCT
ejpam-6274	387	22	k−2∑	k−2∑	X
ejpam-6274	387	23	i=−∞	i=−∞	NOUN
ejpam-6274	387	24	2	2	NUM
ejpam-6274	387	25	b1(q(1+ϵ))′(i−k	b1(q(1+ϵ))′(i−k	NOUN
ejpam-6274	387	26	)	)	PUNCT
ejpam-6274	387	27	2	2	NUM
ejpam-6274	387	28	)	)	PUNCT
ejpam-6274	387	29	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	387	30	)	)	PUNCT
ejpam-6274	387	31	q(1+ϵ)′	q(1+ϵ)′	NOUN
ejpam-6274	387	32			PROPN
ejpam-6274	387	33	1	1	NUM
ejpam-6274	387	34	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	387	35	)	)	PUNCT
ejpam-6274	387	36	≲	≲	PROPN
ejpam-6274	387	37	2−lλ	2−lλ	NUM
ejpam-6274	387	38	ϵθ	ϵθ	NUM
ejpam-6274	387	39	l∑	l∑	PUNCT
ejpam-6274	388	1	k=0	k=0	PROPN
ejpam-6274	388	2	k−2∑	k−2∑	PROPN
ejpam-6274	388	3	i=−∞	i=−∞	NOUN
ejpam-6274	388	4	2η∞iq(1+ϵ	2η∞iq(1+ϵ	NUM
ejpam-6274	388	5	)	)	PUNCT
ejpam-6274	388	6	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	389	1			PROPN
ejpam-6274	389	2	∞∑	∞∑	NUM
ejpam-6274	389	3	j=1	j=1	NOUN
ejpam-6274	389	4	|gj	|gj	NUM
ejpam-6274	389	5	|r	|r	NOUN
ejpam-6274	389	6			PROPN
ejpam-6274	389	7	1	1	NUM
ejpam-6274	389	8	r	r	NOUN
ejpam-6274	389	9	1i	1i	NOUN
ejpam-6274	389	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	389	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	389	12	)	)	PUNCT
ejpam-6274	389	13	p	p	X
ejpam-6274	389	14	(	(	PUNCT
ejpam-6274	389	15	·	·	PUNCT
ejpam-6274	389	16	)	)	PUNCT
ejpam-6274	389	17	2	2	NUM
ejpam-6274	389	18	b1q(1+ϵ)(i−k	b1q(1+ϵ)(i−k	NOUN
ejpam-6274	389	19	)	)	PUNCT
ejpam-6274	389	20	2	2	NUM
ejpam-6274	389	21			NOUN
ejpam-6274	389	22	1	1	NUM
ejpam-6274	389	23	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	389	24	)	)	PUNCT
ejpam-6274	389	25	⩽	⩽	NOUN
ejpam-6274	390	1	2−lλ	2−lλ	PROPN
ejpam-6274	390	2	ϵθ	ϵθ	NOUN
ejpam-6274	390	3	l∑	l∑	PUNCT
ejpam-6274	390	4	k=0	k=0	PROPN
ejpam-6274	390	5	k−2∑	k−2∑	VERB
ejpam-6274	390	6	i=−2	i=−2	ADJ
ejpam-6274	390	7	2η∞iq(1+ϵ	2η∞iq(1+ϵ	NUM
ejpam-6274	390	8	)	)	PUNCT
ejpam-6274	390	9	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	391	1			PROPN
ejpam-6274	391	2	∞∑	∞∑	NUM
ejpam-6274	391	3	j=1	j=1	NOUN
ejpam-6274	391	4	|gj	|gj	NUM
ejpam-6274	391	5	|r	|r	NOUN
ejpam-6274	391	6			PROPN
ejpam-6274	391	7	1	1	NUM
ejpam-6274	391	8	r	r	NOUN
ejpam-6274	391	9	1i	1i	NOUN
ejpam-6274	391	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	391	11	q	q	PROPN
ejpam-6274	391	12	p	p	X
ejpam-6274	391	13	(	(	PUNCT
ejpam-6274	391	14	·	·	PUNCT
ejpam-6274	391	15	)	)	PUNCT
ejpam-6274	391	16	2	2	NUM
ejpam-6274	391	17	b1q(1+ϵ)(i−k	b1q(1+ϵ)(i−k	NOUN
ejpam-6274	391	18	)	)	PUNCT
ejpam-6274	391	19	2	2	NUM
ejpam-6274	391	20			ADP
ejpam-6274	391	21	1	1	NUM
ejpam-6274	391	22	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	391	23	)	)	PUNCT
ejpam-6274	392	1	+	+	CCONJ
ejpam-6274	393	1	2−lλ	2−lλ	NUM
ejpam-6274	393	2	ϵθ	ϵθ	NUM
ejpam-6274	393	3	l∑	l∑	PUNCT
ejpam-6274	394	1	k=0	k=0	PROPN
ejpam-6274	394	2	−3∑	−3∑	PROPN
ejpam-6274	394	3	i=−∞	i=−∞	PRON
ejpam-6274	394	4	2η∞iq(1+ϵ	2η∞iq(1+ϵ	NUM
ejpam-6274	394	5	)	)	PUNCT
ejpam-6274	394	6	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	395	1			PROPN
ejpam-6274	395	2	∞∑	∞∑	NUM
ejpam-6274	395	3	j=1	j=1	NOUN
ejpam-6274	395	4	|gj	|gj	NUM
ejpam-6274	395	5	|r	|r	NOUN
ejpam-6274	395	6			PROPN
ejpam-6274	395	7	1	1	NUM
ejpam-6274	395	8	r	r	NOUN
ejpam-6274	395	9	1i	1i	NOUN
ejpam-6274	395	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	395	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	395	12	)	)	PUNCT
ejpam-6274	395	13	p	p	X
ejpam-6274	395	14	(	(	PUNCT
ejpam-6274	395	15	·	·	PUNCT
ejpam-6274	395	16	)	)	PUNCT
ejpam-6274	395	17	2	2	NUM
ejpam-6274	395	18	b1q(1+ϵ)(i−k	b1q(1+ϵ)(i−k	NOUN
ejpam-6274	395	19	)	)	PUNCT
ejpam-6274	395	20	2	2	NUM
ejpam-6274	395	21			NOUN
ejpam-6274	395	22	1	1	NUM
ejpam-6274	395	23	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	395	24	)	)	PUNCT
ejpam-6274	395	25	=	=	PROPN
ejpam-6274	395	26	i1	i1	PROPN
ejpam-6274	395	27	+	+	CCONJ
ejpam-6274	395	28	i2	i2	PROPN
ejpam-6274	395	29	.	.	PUNCT
ejpam-6274	396	1	now	now	ADV
ejpam-6274	396	2	we	we	PRON
ejpam-6274	396	3	consider	consider	VERB
ejpam-6274	396	4	i1	i1	PROPN
ejpam-6274	396	5	and	and	CCONJ
ejpam-6274	396	6	i2	i2	PROPN
ejpam-6274	396	7	respectively	respectively	ADV
ejpam-6274	396	8	.	.	PUNCT
ejpam-6274	397	1	due	due	ADP
ejpam-6274	397	2	to	to	ADP
ejpam-6274	397	3	b1	b1	VERB
ejpam-6274	397	4	>	>	X
ejpam-6274	397	5	0	0	PROPN
ejpam-6274	397	6	,	,	PUNCT
ejpam-6274	397	7	we	we	PRON
ejpam-6274	397	8	have	have	VERB
ejpam-6274	397	9	i1	i1	NOUN
ejpam-6274	397	10	=	=	PUNCT
ejpam-6274	398	1	2−lλ	2−lλ	NUM
ejpam-6274	398	2	ϵθ	ϵθ	NUM
ejpam-6274	398	3	l−2∑	l−2∑	ADV
ejpam-6274	398	4	i=−2	i=−2	ADV
ejpam-6274	398	5	2η∞iq(1+ϵ	2η∞iq(1+ϵ	NUM
ejpam-6274	398	6	)	)	PUNCT
ejpam-6274	398	7	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	399	1			PROPN
ejpam-6274	399	2	∞∑	∞∑	NUM
ejpam-6274	399	3	j=1	j=1	NOUN
ejpam-6274	399	4	|gj	|gj	NUM
ejpam-6274	399	5	|r	|r	NOUN
ejpam-6274	399	6			PROPN
ejpam-6274	399	7	1	1	NUM
ejpam-6274	399	8	r	r	NOUN
ejpam-6274	399	9	1i	1i	NOUN
ejpam-6274	399	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	399	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	399	12	)	)	PUNCT
ejpam-6274	399	13	p	p	X
ejpam-6274	399	14	(	(	PUNCT
ejpam-6274	399	15	·	·	PUNCT
ejpam-6274	399	16	)	)	PUNCT
ejpam-6274	399	17	l∑	l∑	PUNCT
ejpam-6274	400	1	k	k	X
ejpam-6274	400	2	=	=	NOUN
ejpam-6274	400	3	i+2	i+2	PROPN
ejpam-6274	400	4	2	2	NUM
ejpam-6274	400	5	b1q(1+ϵ)(i−k	b1q(1+ϵ)(i−k	NOUN
ejpam-6274	400	6	)	)	PUNCT
ejpam-6274	400	7	2	2	NUM
ejpam-6274	400	8			NOUN
ejpam-6274	400	9	1	1	NUM
ejpam-6274	400	10	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	400	11	)	)	PUNCT
ejpam-6274	401	1	≲	≲	PROPN
ejpam-6274	401	2	2−lλ	2−lλ	NUM
ejpam-6274	401	3	ϵθ	ϵθ	NUM
ejpam-6274	401	4	l−2∑	l−2∑	ADV
ejpam-6274	401	5	i=−2	i=−2	ADV
ejpam-6274	401	6	2η∞iq(1+ϵ	2η∞iq(1+ϵ	NUM
ejpam-6274	401	7	)	)	PUNCT
ejpam-6274	401	8	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	402	1			PROPN
ejpam-6274	402	2	∞∑	∞∑	NUM
ejpam-6274	402	3	j=1	j=1	NOUN
ejpam-6274	402	4	|gj	|gj	NUM
ejpam-6274	402	5	|r	|r	NOUN
ejpam-6274	402	6			PROPN
ejpam-6274	402	7	1	1	NUM
ejpam-6274	402	8	r	r	NOUN
ejpam-6274	402	9	1i	1i	NOUN
ejpam-6274	402	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	402	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	402	12	)	)	PUNCT
ejpam-6274	402	13	p	p	X
ejpam-6274	402	14	(	(	PUNCT
ejpam-6274	402	15	·	·	PUNCT
ejpam-6274	402	16	)	)	PUNCT
ejpam-6274	402	17			NOUN
ejpam-6274	402	18	1	1	NUM
ejpam-6274	402	19	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	402	20	)	)	PUNCT
ejpam-6274	402	21	≲	≲	PROPN
ejpam-6274	402	22	hf	hf	NOUN
ejpam-6274	402	23	.	.	PUNCT
ejpam-6274	403	1	because	because	SCONJ
ejpam-6274	403	2	l	l	PROPN
ejpam-6274	403	3	>	>	X
ejpam-6274	403	4	0	0	PROPN
ejpam-6274	403	5	,	,	PUNCT
ejpam-6274	403	6	b1	b1	VERB
ejpam-6274	403	7	>	>	X
ejpam-6274	403	8	0	0	PUNCT
ejpam-6274	404	1	and	and	CCONJ
ejpam-6274	404	2	λ	λ	X
ejpam-6274	404	3	⩾	⩾	NOUN
ejpam-6274	404	4	0	0	NUM
ejpam-6274	404	5	,	,	PUNCT
ejpam-6274	404	6	we	we	PRON
ejpam-6274	404	7	obtain	obtain	VERB
ejpam-6274	404	8	i2	i2	NOUN
ejpam-6274	404	9	≲	≲	PROPN
ejpam-6274	404	10	2−lλ	2−lλ	NUM
ejpam-6274	404	11	ϵθ	ϵθ	NUM
ejpam-6274	404	12	l∑	l∑	PUNCT
ejpam-6274	405	1	k=0	k=0	PROPN
ejpam-6274	405	2	−3∑	−3∑	PROPN
ejpam-6274	405	3	i=−∞	i=−∞	NOUN
ejpam-6274	405	4	2	2	NUM
ejpam-6274	405	5	b1q(1+ϵ)(i−k	b1q(1+ϵ)(i−k	ADJ
ejpam-6274	405	6	)	)	PUNCT
ejpam-6274	405	7	2	2	NUM
ejpam-6274	405	8			NOUN
ejpam-6274	405	9	i∑	i∑	PROPN
ejpam-6274	405	10	m=∞	m=∞	NOUN
ejpam-6274	405	11	2η∞mq(1+ϵ	2η∞mq(1+ϵ	NUM
ejpam-6274	405	12	)	)	PUNCT
ejpam-6274	405	13	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	406	1			PROPN
ejpam-6274	406	2	∞∑	∞∑	NUM
ejpam-6274	406	3	j=1	j=1	NOUN
ejpam-6274	406	4	|gj	|gj	NUM
ejpam-6274	406	5	|r	|r	NOUN
ejpam-6274	406	6			PROPN
ejpam-6274	406	7	1	1	NUM
ejpam-6274	406	8	r	r	NOUN
ejpam-6274	406	9	1	1	NUM
ejpam-6274	406	10	m	m	NOUN
ejpam-6274	406	11	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	406	12	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	406	13	)	)	PUNCT
ejpam-6274	406	14	p	p	X
ejpam-6274	406	15	(	(	PUNCT
ejpam-6274	406	16	·	·	PUNCT
ejpam-6274	406	17	)	)	PUNCT
ejpam-6274	407	1			PROPN
ejpam-6274	407	2			PROPN
ejpam-6274	407	3	1	1	NUM
ejpam-6274	407	4	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	407	5	)	)	PUNCT
ejpam-6274	408	1	=	=	SYM
ejpam-6274	409	1	2−lλ	2−lλ	NUM
ejpam-6274	409	2	{	{	PUNCT
ejpam-6274	409	3	ϵθ	ϵθ	ADP
ejpam-6274	409	4	l∑	l∑	PUNCT
ejpam-6274	409	5	k=0	k=0	PROPN
ejpam-6274	409	6	−3∑	−3∑	PROPN
ejpam-6274	409	7	i=−∞	i=−∞	NOUN
ejpam-6274	409	8	2	2	NUM
ejpam-6274	409	9	b1q(1+ϵ)(i−k	b1q(1+ϵ)(i−k	NOUN
ejpam-6274	409	10	)	)	PUNCT
ejpam-6274	409	11	2	2	NUM
ejpam-6274	409	12	·	·	SYM
ejpam-6274	409	13	2iq(1+ϵ)λh	2iq(1+ϵ)λh	NUM
ejpam-6274	409	14	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	409	15	)	)	PUNCT
ejpam-6274	409	16	f	f	NOUN
ejpam-6274	409	17	}	}	PUNCT
ejpam-6274	409	18	1	1	NUM
ejpam-6274	409	19	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	409	20	)	)	PUNCT
ejpam-6274	409	21	m.	m.	NOUN
ejpam-6274	409	22	sultan	sultan	PROPN
ejpam-6274	409	23	,	,	PUNCT
ejpam-6274	409	24	b.	b.	PROPN
ejpam-6274	409	25	sultan	sultan	PROPN
ejpam-6274	409	26	,	,	PUNCT
ejpam-6274	409	27	i	i	PROPN
ejpam-6274	409	28	-	-	PUNCT
ejpam-6274	409	29	l.	l.	PROPN
ejpam-6274	409	30	popa	popa	PROPN
ejpam-6274	409	31	/	/	SYM
ejpam-6274	409	32	eur	eur	PROPN
ejpam-6274	409	33	.	.	PUNCT
ejpam-6274	410	1	j.	j.	PROPN
ejpam-6274	410	2	pure	pure	PROPN
ejpam-6274	410	3	appl	appl	PROPN
ejpam-6274	410	4	.	.	PROPN
ejpam-6274	410	5	math	math	PROPN
ejpam-6274	410	6	,	,	PUNCT
ejpam-6274	410	7	18	18	NUM
ejpam-6274	410	8	(	(	PUNCT
ejpam-6274	410	9	3	3	NUM
ejpam-6274	410	10	)	)	PUNCT
ejpam-6274	410	11	(	(	PUNCT
ejpam-6274	410	12	2025	2025	NUM
ejpam-6274	410	13	)	)	PUNCT
ejpam-6274	410	14	,	,	PUNCT
ejpam-6274	410	15	6274	6274	NUM
ejpam-6274	410	16	18	18	NUM
ejpam-6274	410	17	of	of	ADP
ejpam-6274	410	18	33	33	NUM
ejpam-6274	410	19	=	=	SYM
ejpam-6274	410	20	2−lλ	2−lλ	NUM
ejpam-6274	410	21	{	{	PUNCT
ejpam-6274	410	22	ϵθ	ϵθ	X
ejpam-6274	410	23	(	(	PUNCT
ejpam-6274	410	24	l∑	l∑	NUM
ejpam-6274	410	25	k=0	k=0	PROPN
ejpam-6274	410	26	2−kb1q(1+ϵ)/2	2−kb1q(1+ϵ)/2	NUM
ejpam-6274	410	27	)	)	PUNCT
ejpam-6274	410	28	(	(	PUNCT
ejpam-6274	410	29	−3∑	−3∑	PROPN
ejpam-6274	410	30	i=−∞	i=−∞	NOUN
ejpam-6274	410	31	2(b1/2+λ)q(1+ϵ)i	2(b1/2+λ)q(1+ϵ)i	NUM
ejpam-6274	410	32	)	)	PUNCT
ejpam-6274	411	1	h	h	NOUN
ejpam-6274	411	2	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	411	3	)	)	PUNCT
ejpam-6274	411	4	f	f	NOUN
ejpam-6274	412	1	}	}	PUNCT
ejpam-6274	412	2	1	1	NUM
ejpam-6274	412	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	412	4	)	)	PUNCT
ejpam-6274	413	1	≲	≲	PROPN
ejpam-6274	413	2	2−lλ	2−lλ	NUM
ejpam-6274	413	3	{	{	PUNCT
ejpam-6274	413	4	ϵθ	ϵθ	X
ejpam-6274	413	5	(	(	PUNCT
ejpam-6274	413	6	l∑	l∑	NUM
ejpam-6274	413	7	k=0	k=0	PROPN
ejpam-6274	413	8	2−kb1q(1+ϵ)/2	2−kb1q(1+ϵ)/2	NUM
ejpam-6274	413	9	)	)	PUNCT
ejpam-6274	413	10	(	(	PUNCT
ejpam-6274	413	11	l∑	l∑	X
ejpam-6274	413	12	i=−∞	i=−∞	NOUN
ejpam-6274	413	13	2(b1/2+λ)q(1+ϵ)i	2(b1/2+λ)q(1+ϵ)i	NUM
ejpam-6274	413	14	)	)	PUNCT
ejpam-6274	413	15	h	h	NOUN
ejpam-6274	413	16	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	413	17	)	)	PUNCT
ejpam-6274	413	18	f	f	NOUN
ejpam-6274	413	19	}	}	PUNCT
ejpam-6274	413	20	1	1	NUM
ejpam-6274	413	21	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	413	22	)	)	PUNCT
ejpam-6274	414	1	≲	≲	PROPN
ejpam-6274	414	2	2−lλ2−lb1/22(b1/2+λ)lhf	2−lλ2−lb1/22(b1/2+λ)lhf	NUM
ejpam-6274	414	3	=	=	SYM
ejpam-6274	414	4	hf	hf	NOUN
ejpam-6274	414	5	.	.	PUNCT
ejpam-6274	415	1	for	for	ADP
ejpam-6274	415	2	0	0	NUM
ejpam-6274	415	3	<	<	X
ejpam-6274	415	4	q(1	q(1	PROPN
ejpam-6274	415	5	+	+	CCONJ
ejpam-6274	415	6	ϵ	ϵ	X
ejpam-6274	415	7	)	)	PUNCT
ejpam-6274	415	8	⩽	⩽	NOUN
ejpam-6274	415	9	1	1	NUM
ejpam-6274	415	10	,	,	PUNCT
ejpam-6274	415	11	using	use	VERB
ejpam-6274	415	12	(	(	PUNCT
ejpam-6274	415	13	3.4	3.4	NUM
ejpam-6274	415	14	)	)	PUNCT
ejpam-6274	415	15	h1	h1	NOUN
ejpam-6274	415	16	t	t	NOUN
ejpam-6274	415	17	≲	≲	PROPN
ejpam-6274	415	18	2−lλ	2−lλ	NUM
ejpam-6274	415	19	ϵθ	ϵθ	NUM
ejpam-6274	416	1	∞∑	∞∑	PRON
ejpam-6274	416	2	k=0	k=0	PROPN
ejpam-6274	416	3	k−2∑	k−2∑	X
ejpam-6274	416	4	i=−∞	i=−∞	NOUN
ejpam-6274	416	5	2η∞iq(1+ϵ	2η∞iq(1+ϵ	NUM
ejpam-6274	416	6	)	)	PUNCT
ejpam-6274	416	7	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	417	1			PROPN
ejpam-6274	417	2	∞∑	∞∑	NUM
ejpam-6274	417	3	j=1	j=1	NOUN
ejpam-6274	417	4	|gj	|gj	NUM
ejpam-6274	417	5	|r	|r	NOUN
ejpam-6274	417	6			PROPN
ejpam-6274	417	7	1	1	NUM
ejpam-6274	417	8	r	r	NOUN
ejpam-6274	417	9	1i	1i	NOUN
ejpam-6274	417	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	417	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	417	12	)	)	PUNCT
ejpam-6274	417	13	p	p	X
ejpam-6274	417	14	(	(	PUNCT
ejpam-6274	417	15	·	·	PUNCT
ejpam-6274	417	16	)	)	PUNCT
ejpam-6274	417	17	2b1(i−k	2b1(i−k	NOUN
ejpam-6274	417	18	)	)	PUNCT
ejpam-6274	417	19			NOUN
ejpam-6274	417	20	1	1	NUM
ejpam-6274	417	21	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	417	22	)	)	PUNCT
ejpam-6274	418	1	≲	≲	PROPN
ejpam-6274	418	2	2−lλ	2−lλ	NUM
ejpam-6274	418	3	ϵθ	ϵθ	NUM
ejpam-6274	418	4	l∑	l∑	PUNCT
ejpam-6274	419	1	k=0	k=0	PROPN
ejpam-6274	419	2	k−2∑	k−2∑	VERB
ejpam-6274	419	3	i=−2	i=−2	ADJ
ejpam-6274	419	4	2η∞iq(1+ϵ	2η∞iq(1+ϵ	NUM
ejpam-6274	419	5	)	)	PUNCT
ejpam-6274	419	6	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	420	1			PROPN
ejpam-6274	420	2	∞∑	∞∑	NUM
ejpam-6274	420	3	j=1	j=1	NOUN
ejpam-6274	420	4	|gj	|gj	NUM
ejpam-6274	420	5	|r	|r	NOUN
ejpam-6274	420	6			PROPN
ejpam-6274	420	7	1	1	NUM
ejpam-6274	420	8	r	r	NOUN
ejpam-6274	420	9	1i	1i	NOUN
ejpam-6274	420	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	420	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	420	12	)	)	PUNCT
ejpam-6274	420	13	p	p	X
ejpam-6274	420	14	(	(	PUNCT
ejpam-6274	420	15	·	·	PUNCT
ejpam-6274	420	16	)	)	PUNCT
ejpam-6274	420	17	2b1(i−k	2b1(i−k	NOUN
ejpam-6274	420	18	)	)	PUNCT
ejpam-6274	420	19			NOUN
ejpam-6274	420	20	1	1	NUM
ejpam-6274	420	21	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	420	22	)	)	PUNCT
ejpam-6274	420	23	+	+	CCONJ
ejpam-6274	421	1	2−lλ	2−lλ	NUM
ejpam-6274	421	2	ϵθ	ϵθ	NUM
ejpam-6274	421	3	l∑	l∑	PUNCT
ejpam-6274	422	1	k=0	k=0	PROPN
ejpam-6274	422	2	−3∑	−3∑	PROPN
ejpam-6274	422	3	i=−∞	i=−∞	PRON
ejpam-6274	422	4	2η∞iq(1+ϵ	2η∞iq(1+ϵ	NUM
ejpam-6274	422	5	)	)	PUNCT
ejpam-6274	422	6	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	423	1			PROPN
ejpam-6274	423	2	∞∑	∞∑	NUM
ejpam-6274	423	3	j=1	j=1	NOUN
ejpam-6274	423	4	|gj	|gj	NUM
ejpam-6274	423	5	|r	|r	NOUN
ejpam-6274	423	6			PROPN
ejpam-6274	423	7	1	1	NUM
ejpam-6274	423	8	r	r	NOUN
ejpam-6274	423	9	1i	1i	NOUN
ejpam-6274	423	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	423	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	423	12	)	)	PUNCT
ejpam-6274	423	13	p	p	X
ejpam-6274	423	14	(	(	PUNCT
ejpam-6274	423	15	·	·	PUNCT
ejpam-6274	423	16	)	)	PUNCT
ejpam-6274	423	17	2b1(i−k	2b1(i−k	NOUN
ejpam-6274	423	18	)	)	PUNCT
ejpam-6274	423	19			NOUN
ejpam-6274	423	20	1	1	NUM
ejpam-6274	423	21	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	423	22	)	)	PUNCT
ejpam-6274	424	1	=	=	PUNCT
ejpam-6274	424	2	:	:	PUNCT
ejpam-6274	424	3	j1	j1	PROPN
ejpam-6274	424	4	+	+	CCONJ
ejpam-6274	424	5	j2	j2	PROPN
ejpam-6274	424	6	.	.	PROPN
ejpam-6274	424	7	similar	similar	ADJ
ejpam-6274	424	8	to	to	PART
ejpam-6274	424	9	step	step	VERB
ejpam-6274	424	10	2	2	NUM
ejpam-6274	424	11	h2	h2	NOUN
ejpam-6274	424	12	t	t	NOUN
ejpam-6274	424	13	≲	≲	PROPN
ejpam-6274	424	14	hf	hf	NOUN
ejpam-6274	424	15	is	be	AUX
ejpam-6274	424	16	also	also	ADV
ejpam-6274	424	17	true	true	ADJ
ejpam-6274	424	18	for	for	ADP
ejpam-6274	424	19	0	0	NUM
ejpam-6274	424	20	<	<	X
ejpam-6274	424	21	q(1	q(1	PROPN
ejpam-6274	424	22	+	+	CCONJ
ejpam-6274	424	23	ϵ	ϵ	X
ejpam-6274	424	24	)	)	PUNCT
ejpam-6274	424	25	⩽	⩽	NOUN
ejpam-6274	424	26	1	1	X
ejpam-6274	424	27	.	.	PUNCT
ejpam-6274	424	28	step	step	NOUN
ejpam-6274	424	29	3	3	NUM
ejpam-6274	424	30	.	.	PUNCT
ejpam-6274	425	1	let	let	VERB
ejpam-6274	425	2	∀i	∀i	NOUN
ejpam-6274	425	3	≥	≥	NOUN
ejpam-6274	425	4	k	k	NOUN
ejpam-6274	426	1	+	+	CCONJ
ejpam-6274	426	2	2	2	NUM
ejpam-6274	426	3	,	,	PUNCT
ejpam-6274	426	4	x	x	X
ejpam-6274	426	5	∈	∈	PROPN
ejpam-6274	426	6	rk	rk	NOUN
ejpam-6274	426	7	,	,	PUNCT
ejpam-6274	426	8	then	then	ADV
ejpam-6274	426	9	we	we	PRON
ejpam-6274	426	10	get	get	VERB
ejpam-6274	426	11			PROPN
ejpam-6274	426	12	∞∑	∞∑	NUM
ejpam-6274	426	13	j=1	j=1	NOUN
ejpam-6274	426	14	t	t	PROPN
ejpam-6274	426	15	r	r	NOUN
ejpam-6274	426	16	(	(	PUNCT
ejpam-6274	426	17	gij	gij	PROPN
ejpam-6274	426	18	)	)	PUNCT
ejpam-6274	426	19	(	(	PUNCT
ejpam-6274	426	20	x	x	X
ejpam-6274	426	21	)	)	PUNCT
ejpam-6274	426	22			PROPN
ejpam-6274	426	23	1	1	NUM
ejpam-6274	426	24	r	r	NOUN
ejpam-6274	426	25	≲	≲	PROPN
ejpam-6274	426	26			NOUN
ejpam-6274	426	27	∞∑	∞∑	NUM
ejpam-6274	426	28	j=1	j=1	NOUN
ejpam-6274	426	29	(	(	PUNCT
ejpam-6274	426	30	2−in	2−in	NUM
ejpam-6274	426	31	∫	∫	PROPN
ejpam-6274	426	32	rn	rn	PROPN
ejpam-6274	426	33	∣∣gij(y)∣∣dy)r	∣∣gij(y)∣∣dy)r	PROPN
ejpam-6274	426	34			NOUN
ejpam-6274	426	35	1	1	NUM
ejpam-6274	426	36	r	r	NOUN
ejpam-6274	426	37	=	=	SYM
ejpam-6274	426	38	2−in	2−in	NUM
ejpam-6274	426	39			PROPN
ejpam-6274	426	40	∞∑	∞∑	NUM
ejpam-6274	426	41	j=1	j=1	NOUN
ejpam-6274	426	42	(	(	PUNCT
ejpam-6274	426	43	∫	∫	PROPN
ejpam-6274	426	44	rn	rn	PROPN
ejpam-6274	426	45	∣∣gij(y)∣∣	∣∣gij(y)∣∣	PROPN
ejpam-6274	426	46	dy)r	dy)r	PROPN
ejpam-6274	426	47			PROPN
ejpam-6274	426	48	1	1	NUM
ejpam-6274	426	49	r	r	NOUN
ejpam-6274	426	50	≲	≲	PROPN
ejpam-6274	426	51	2−in	2−in	NUM
ejpam-6274	426	52	∫	∫	PROPN
ejpam-6274	426	53	rn	rn	PROPN
ejpam-6274	427	1			PROPN
ejpam-6274	427	2	∞∑	∞∑	PROPN
ejpam-6274	427	3	j=1	j=1	PROPN
ejpam-6274	427	4	∣∣gij∣∣r	∣∣gij∣∣r	PUNCT
ejpam-6274	428	1			PROPN
ejpam-6274	428	2	1	1	NUM
ejpam-6274	428	3	r	r	NOUN
ejpam-6274	428	4	dy	dy	NOUN
ejpam-6274	428	5	.	.	PUNCT
ejpam-6274	429	1	by	by	ADP
ejpam-6274	429	2	hölder	hölder	PROPN
ejpam-6274	429	3	’s	’s	PART
ejpam-6274	429	4	inequality	inequality	NOUN
ejpam-6274	429	5	we	we	PRON
ejpam-6274	429	6	get	get	VERB
ejpam-6274	429	7	m.	m.	NOUN
ejpam-6274	429	8	sultan	sultan	PROPN
ejpam-6274	429	9	,	,	PUNCT
ejpam-6274	429	10	b.	b.	PROPN
ejpam-6274	429	11	sultan	sultan	PROPN
ejpam-6274	429	12	,	,	PUNCT
ejpam-6274	429	13	i	i	PROPN
ejpam-6274	429	14	-	-	PUNCT
ejpam-6274	429	15	l.	l.	PROPN
ejpam-6274	429	16	popa	popa	PROPN
ejpam-6274	429	17	/	/	SYM
ejpam-6274	429	18	eur	eur	PROPN
ejpam-6274	429	19	.	.	PUNCT
ejpam-6274	430	1	j.	j.	PROPN
ejpam-6274	430	2	pure	pure	PROPN
ejpam-6274	430	3	appl	appl	PROPN
ejpam-6274	430	4	.	.	PROPN
ejpam-6274	430	5	math	math	PROPN
ejpam-6274	430	6	,	,	PUNCT
ejpam-6274	430	7	18	18	NUM
ejpam-6274	430	8	(	(	PUNCT
ejpam-6274	430	9	3	3	NUM
ejpam-6274	430	10	)	)	PUNCT
ejpam-6274	430	11	(	(	PUNCT
ejpam-6274	430	12	2025	2025	NUM
ejpam-6274	430	13	)	)	PUNCT
ejpam-6274	430	14	,	,	PUNCT
ejpam-6274	430	15	6274	6274	NUM
ejpam-6274	430	16	19	19	NUM
ejpam-6274	430	17	of	of	ADP
ejpam-6274	430	18	33	33	NUM
ejpam-6274	430	19	e3	e3	NOUN
ejpam-6274	430	20	t	t	NOUN
ejpam-6274	430	21	≲	≲	PROPN
ejpam-6274	430	22	sup	sup	NOUN
ejpam-6274	430	23	ϵ>0	ϵ>0	NOUN
ejpam-6274	430	24	sup	sup	NOUN
ejpam-6274	430	25	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	430	26	2−lλ	2−lλ	NUM
ejpam-6274	430	27	ϵθ	ϵθ	NUM
ejpam-6274	430	28	l∑	l∑	PUNCT
ejpam-6274	431	1	k=−∞	k=−∞	PROPN
ejpam-6274	432	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	DET
ejpam-6274	432	2	∥∥∥∥∥∥∥1k	∥∥∥∥∥∥∥1k	PUNCT
ejpam-6274	432	3	∞∑	∞∑	NUM
ejpam-6274	432	4	i	i	PROPN
ejpam-6274	432	5	=	=	SYM
ejpam-6274	432	6	k+2	k+2	PROPN
ejpam-6274	432	7	2−in	2−in	PROPN
ejpam-6274	432	8	∫	∫	PROPN
ejpam-6274	432	9	rn	rn	PROPN
ejpam-6274	433	1			PROPN
ejpam-6274	433	2	∞∑	∞∑	PROPN
ejpam-6274	433	3	j=1	j=1	PROPN
ejpam-6274	433	4	∣∣gij∣∣r	∣∣gij∣∣r	PUNCT
ejpam-6274	434	1			PROPN
ejpam-6274	434	2	1	1	NUM
ejpam-6274	434	3	r	r	NOUN
ejpam-6274	434	4	dy	dy	NOUN
ejpam-6274	434	5	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	434	6	q(1+ϵ	q(1+ϵ	PROPN
ejpam-6274	434	7	)	)	PUNCT
ejpam-6274	434	8	lp	lp	PROPN
ejpam-6274	434	9	(	(	PUNCT
ejpam-6274	434	10	·	·	PUNCT
ejpam-6274	434	11	)	)	PUNCT
ejpam-6274	434	12			NOUN
ejpam-6274	434	13	1	1	NUM
ejpam-6274	434	14	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	434	15	)	)	PUNCT
ejpam-6274	435	1	=	=	NOUN
ejpam-6274	435	2	sup	sup	NUM
ejpam-6274	435	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	435	4	sup	sup	NOUN
ejpam-6274	435	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	435	6	2−lλ	2−lλ	NUM
ejpam-6274	435	7	ϵθ	ϵθ	NUM
ejpam-6274	435	8	l∑	l∑	X
ejpam-6274	436	1	k=−∞	k=−∞	PROPN
ejpam-6274	437	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	PRON
ejpam-6274	437	2	∥1k∥	∥1k∥	NUM
ejpam-6274	437	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	437	4	)	)	PUNCT
ejpam-6274	438	1	p	p	X
ejpam-6274	438	2	(	(	PUNCT
ejpam-6274	438	3	·	·	PUNCT
ejpam-6274	438	4	)	)	PUNCT
ejpam-6274	438	5			NOUN
ejpam-6274	439	1	∞∑	∞∑	NUM
ejpam-6274	439	2	i	i	PROPN
ejpam-6274	439	3	=	=	SYM
ejpam-6274	439	4	k+2	k+2	PROPN
ejpam-6274	439	5	2−in	2−in	PROPN
ejpam-6274	439	6	∫	∫	PROPN
ejpam-6274	439	7	rn	rn	PROPN
ejpam-6274	440	1			PROPN
ejpam-6274	440	2	∞∑	∞∑	PROPN
ejpam-6274	440	3	j=1	j=1	PROPN
ejpam-6274	440	4	∣∣gij∣∣r	∣∣gij∣∣r	PUNCT
ejpam-6274	441	1			PROPN
ejpam-6274	441	2	1	1	NUM
ejpam-6274	441	3	r	r	NOUN
ejpam-6274	441	4	dy	dy	NOUN
ejpam-6274	441	5			PROPN
ejpam-6274	441	6	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	441	7	)	)	PUNCT
ejpam-6274	442	1			NOUN
ejpam-6274	442	2	1	1	NUM
ejpam-6274	442	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	442	4	)	)	PUNCT
ejpam-6274	443	1	≲	≲	PROPN
ejpam-6274	443	2	sup	sup	NOUN
ejpam-6274	443	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	443	4	sup	sup	NOUN
ejpam-6274	443	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	443	6	2−lλ	2−lλ	NUM
ejpam-6274	443	7	ϵθ	ϵθ	NUM
ejpam-6274	443	8	l∑	l∑	X
ejpam-6274	443	9	k=−∞	k=−∞	PROPN
ejpam-6274	444	1	2η(0)q(1+ϵ)k	2η(0)q(1+ϵ)k	PRON
ejpam-6274	444	2	∥1k∥	∥1k∥	NUM
ejpam-6274	444	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	444	4	)	)	PUNCT
ejpam-6274	445	1	p	p	X
ejpam-6274	445	2	(	(	PUNCT
ejpam-6274	445	3	·	·	PUNCT
ejpam-6274	445	4	)	)	PUNCT
ejpam-6274	445	5			NOUN
ejpam-6274	445	6	∞∑	∞∑	NUM
ejpam-6274	445	7	i	i	PROPN
ejpam-6274	445	8	=	=	SYM
ejpam-6274	445	9	k+2	k+2	PROPN
ejpam-6274	445	10	2−in	2−in	NOUN
ejpam-6274	445	11	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	446	1			PROPN
ejpam-6274	446	2	∞∑	∞∑	ADJ
ejpam-6274	446	3	j=1	j=1	NOUN
ejpam-6274	446	4	|gj	|gj	NUM
ejpam-6274	446	5	|r	|r	NOUN
ejpam-6274	446	6			PROPN
ejpam-6274	446	7	1	1	NUM
ejpam-6274	446	8	r	r	NOUN
ejpam-6274	446	9	1i	1i	NOUN
ejpam-6274	446	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	446	11	p	p	X
ejpam-6274	446	12	(	(	PUNCT
ejpam-6274	446	13	·	·	PUNCT
ejpam-6274	446	14	)	)	PUNCT
ejpam-6274	446	15	∥1i∥lp	∥1i∥lp	PROPN
ejpam-6274	446	16	(	(	PUNCT
ejpam-6274	446	17	·	·	PUNCT
ejpam-6274	446	18	)	)	PUNCT
ejpam-6274	446	19			PROPN
ejpam-6274	446	20	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	446	21	)	)	PUNCT
ejpam-6274	446	22			NOUN
ejpam-6274	446	23	1	1	NUM
ejpam-6274	446	24	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	446	25	)	)	PUNCT
ejpam-6274	446	26	.	.	PUNCT
ejpam-6274	447	1	(	(	PUNCT
ejpam-6274	447	2	3.5	3.5	NUM
ejpam-6274	447	3	)	)	PUNCT
ejpam-6274	447	4	using	use	VERB
ejpam-6274	447	5	lemmas	lemmas	PROPN
ejpam-6274	447	6	2.5	2.5	NUM
ejpam-6274	447	7	and	and	CCONJ
ejpam-6274	447	8	3.2	3.2	NUM
ejpam-6274	447	9	again	again	ADV
ejpam-6274	447	10	,	,	PUNCT
ejpam-6274	447	11	we	we	PRON
ejpam-6274	447	12	obtain	obtain	VERB
ejpam-6274	447	13	2−in	2−in	NUM
ejpam-6274	447	14	∥1k∥p	∥1k∥p	ADJ
ejpam-6274	447	15	(	(	PUNCT
ejpam-6274	447	16	·	·	PUNCT
ejpam-6274	447	17	)	)	PUNCT
ejpam-6274	447	18	∥1i∥lp′	∥1i∥lp′	PROPN
ejpam-6274	447	19	(	(	PUNCT
ejpam-6274	447	20	·	·	PUNCT
ejpam-6274	447	21	)	)	PUNCT
ejpam-6274	447	22	⩽	⩽	NOUN
ejpam-6274	447	23	2−in	2−in	PROPN
ejpam-6274	447	24	∥1bk	∥1bk	NUM
ejpam-6274	448	1	∥p	∥p	ADJ
ejpam-6274	448	2	(	(	PUNCT
ejpam-6274	448	3	·	·	PUNCT
ejpam-6274	448	4	)	)	PUNCT
ejpam-6274	448	5	∥1bi∥lp′	∥1bi∥lp′	PROPN
ejpam-6274	448	6	(	(	PUNCT
ejpam-6274	448	7	·	·	PUNCT
ejpam-6274	448	8	)	)	PUNCT
ejpam-6274	449	1	≲	≲	PROPN
ejpam-6274	449	2	2−in	2−in	NUM
ejpam-6274	449	3	∥1bk	∥1bk	NUM
ejpam-6274	449	4	∥p	∥p	ADJ
ejpam-6274	449	5	(	(	PUNCT
ejpam-6274	449	6	·	·	PUNCT
ejpam-6274	449	7	)	)	PUNCT
ejpam-6274	449	8	|bi|	|bi|	NUM
ejpam-6274	449	9	∥1bi∥	∥1bi∥	NOUN
ejpam-6274	449	10	−1	−1	NOUN
ejpam-6274	449	11	p	p	X
ejpam-6274	449	12	(	(	PUNCT
ejpam-6274	449	13	·	·	PUNCT
ejpam-6274	449	14	)	)	PUNCT
ejpam-6274	449	15	≲	≲	PROPN
ejpam-6274	449	16	2nω1(k−i	2nω1(k−i	NUM
ejpam-6274	449	17	)	)	PUNCT
ejpam-6274	449	18	.	.	PUNCT
ejpam-6274	450	1	(	(	PUNCT
ejpam-6274	450	2	3.6	3.6	NUM
ejpam-6274	450	3	)	)	PUNCT
ejpam-6274	450	4	we	we	PRON
ejpam-6274	450	5	put	put	VERB
ejpam-6274	450	6	(	(	PUNCT
ejpam-6274	450	7	3.6	3.6	NUM
ejpam-6274	450	8	)	)	PUNCT
ejpam-6274	450	9	into	into	ADP
ejpam-6274	450	10	(	(	PUNCT
ejpam-6274	450	11	3.5	3.5	NUM
ejpam-6274	450	12	)	)	PUNCT
ejpam-6274	450	13	and	and	CCONJ
ejpam-6274	450	14	get	get	VERB
ejpam-6274	450	15	e3	e3	PRON
ejpam-6274	450	16	t	t	NOUN
ejpam-6274	450	17	≲	≲	PROPN
ejpam-6274	450	18	sup	sup	NOUN
ejpam-6274	450	19	ϵ>0	ϵ>0	NOUN
ejpam-6274	450	20	sup	sup	NOUN
ejpam-6274	450	21	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	450	22	2−lλ	2−lλ	NUM
ejpam-6274	450	23	ϵθ	ϵθ	NUM
ejpam-6274	450	24	l∑	l∑	X
ejpam-6274	450	25	k=−∞	k=−∞	PROPN
ejpam-6274	450	26	2η(0)kq(1+ϵ	2η(0)kq(1+ϵ	NUM
ejpam-6274	450	27	)	)	PUNCT
ejpam-6274	450	28			VERB
ejpam-6274	451	1	∞∑	∞∑	NUM
ejpam-6274	451	2	i	i	PROPN
ejpam-6274	451	3	=	=	SYM
ejpam-6274	451	4	k+2	k+2	PROPN
ejpam-6274	451	5	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	452	1			PROPN
ejpam-6274	452	2	∞∑	∞∑	ADJ
ejpam-6274	452	3	j=1	j=1	NOUN
ejpam-6274	452	4	|gj	|gj	NUM
ejpam-6274	452	5	|r	|r	NOUN
ejpam-6274	452	6			PROPN
ejpam-6274	452	7	1	1	NUM
ejpam-6274	452	8	r	r	NOUN
ejpam-6274	452	9	1i	1i	NOUN
ejpam-6274	452	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	452	11	p	p	X
ejpam-6274	452	12	(	(	PUNCT
ejpam-6274	452	13	·	·	PUNCT
ejpam-6274	452	14	)	)	PUNCT
ejpam-6274	452	15	2nω1(k−i	2nω1(k−i	NUM
ejpam-6274	452	16	)	)	PUNCT
ejpam-6274	452	17			PROPN
ejpam-6274	452	18	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	452	19	)	)	PUNCT
ejpam-6274	452	20			NOUN
ejpam-6274	452	21	1	1	NUM
ejpam-6274	452	22	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	452	23	)	)	PUNCT
ejpam-6274	452	24	=	=	PUNCT
ejpam-6274	452	25	sup	sup	NOUN
ejpam-6274	452	26	ϵ>0	ϵ>0	NOUN
ejpam-6274	452	27	sup	sup	NOUN
ejpam-6274	452	28	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	452	29	2−lλ	2−lλ	NUM
ejpam-6274	452	30	ϵθ	ϵθ	NUM
ejpam-6274	452	31	l∑	l∑	PUNCT
ejpam-6274	452	32	k=−∞	k=−∞	PROPN
ejpam-6274	452	33			VERB
ejpam-6274	452	34	∞∑	∞∑	NUM
ejpam-6274	452	35	i	i	PROPN
ejpam-6274	452	36	=	=	SYM
ejpam-6274	452	37	k+2	k+2	PROPN
ejpam-6274	452	38	2η(0)k	2η(0)k	NUM
ejpam-6274	452	39	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	453	1			PROPN
ejpam-6274	453	2	∞∑	∞∑	ADJ
ejpam-6274	453	3	j=1	j=1	NOUN
ejpam-6274	453	4	|gj	|gj	NUM
ejpam-6274	453	5	|r	|r	NOUN
ejpam-6274	453	6			PROPN
ejpam-6274	453	7	1	1	NUM
ejpam-6274	453	8	r	r	NOUN
ejpam-6274	453	9	1i	1i	NOUN
ejpam-6274	453	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	453	11	p	p	X
ejpam-6274	453	12	(	(	PUNCT
ejpam-6274	453	13	·	·	PUNCT
ejpam-6274	453	14	)	)	PUNCT
ejpam-6274	453	15	2nω1(k−i	2nω1(k−i	NUM
ejpam-6274	453	16	)	)	PUNCT
ejpam-6274	453	17			PROPN
ejpam-6274	453	18	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	453	19	)	)	PUNCT
ejpam-6274	453	20			NOUN
ejpam-6274	453	21	1	1	NUM
ejpam-6274	453	22	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	453	23	)	)	PUNCT
ejpam-6274	453	24	=	=	PUNCT
ejpam-6274	453	25	sup	sup	NOUN
ejpam-6274	453	26	ϵ>0	ϵ>0	NOUN
ejpam-6274	453	27	sup	sup	NOUN
ejpam-6274	453	28	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	453	29	2−lλ	2−lλ	NUM
ejpam-6274	453	30	ϵθ	ϵθ	NUM
ejpam-6274	453	31	l∑	l∑	PUNCT
ejpam-6274	453	32	k=−∞	k=−∞	PROPN
ejpam-6274	453	33			VERB
ejpam-6274	453	34	∞∑	∞∑	NUM
ejpam-6274	453	35	i	i	PROPN
ejpam-6274	453	36	=	=	SYM
ejpam-6274	453	37	k+2	k+2	PROPN
ejpam-6274	453	38	2η(0)i	2η(0)i	NUM
ejpam-6274	453	39	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	454	1			PROPN
ejpam-6274	454	2	∞∑	∞∑	ADJ
ejpam-6274	454	3	j=1	j=1	NOUN
ejpam-6274	454	4	|gj	|gj	NUM
ejpam-6274	454	5	|r	|r	NOUN
ejpam-6274	454	6			PROPN
ejpam-6274	454	7	1	1	NUM
ejpam-6274	454	8	r	r	NOUN
ejpam-6274	454	9	1i	1i	NOUN
ejpam-6274	454	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	454	11	p	p	X
ejpam-6274	454	12	(	(	PUNCT
ejpam-6274	454	13	·	·	PUNCT
ejpam-6274	454	14	)	)	PUNCT
ejpam-6274	454	15	2d(k−i	2d(k−i	NUM
ejpam-6274	454	16	)	)	PUNCT
ejpam-6274	454	17			PROPN
ejpam-6274	454	18	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	454	19	)	)	PUNCT
ejpam-6274	454	20			NOUN
ejpam-6274	454	21	1	1	NUM
ejpam-6274	454	22	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	454	23	)	)	PUNCT
ejpam-6274	454	24	.	.	PUNCT
ejpam-6274	455	1	(	(	PUNCT
ejpam-6274	455	2	3.7	3.7	NUM
ejpam-6274	455	3	)	)	PUNCT
ejpam-6274	455	4	where	where	SCONJ
ejpam-6274	455	5	d	d	NOUN
ejpam-6274	455	6	:	:	PUNCT
ejpam-6274	455	7	=	=	SYM
ejpam-6274	455	8	nω1	nω1	PROPN
ejpam-6274	455	9	+	+	X
ejpam-6274	455	10	η(0	η(0	PROPN
ejpam-6274	455	11	)	)	PUNCT
ejpam-6274	455	12	>	>	X
ejpam-6274	456	1	0	0	X
ejpam-6274	456	2	.	.	PUNCT
ejpam-6274	457	1	let	let	VERB
ejpam-6274	457	2	1	1	NUM
ejpam-6274	457	3	<	<	X
ejpam-6274	457	4	q(1	q(1	PROPN
ejpam-6274	457	5	+	+	CCONJ
ejpam-6274	457	6	ϵ	ϵ	X
ejpam-6274	457	7	)	)	PUNCT
ejpam-6274	457	8	<	<	X
ejpam-6274	457	9	∞	∞	PROPN
ejpam-6274	457	10	,	,	PUNCT
ejpam-6274	457	11	then	then	ADV
ejpam-6274	457	12	we	we	PRON
ejpam-6274	457	13	get	get	VERB
ejpam-6274	457	14	m.	m.	NOUN
ejpam-6274	457	15	sultan	sultan	PROPN
ejpam-6274	457	16	,	,	PUNCT
ejpam-6274	457	17	b.	b.	PROPN
ejpam-6274	457	18	sultan	sultan	PROPN
ejpam-6274	457	19	,	,	PUNCT
ejpam-6274	457	20	i	i	PROPN
ejpam-6274	457	21	-	-	PUNCT
ejpam-6274	457	22	l.	l.	PROPN
ejpam-6274	457	23	popa	popa	PROPN
ejpam-6274	457	24	/	/	SYM
ejpam-6274	457	25	eur	eur	PROPN
ejpam-6274	457	26	.	.	PUNCT
ejpam-6274	458	1	j.	j.	PROPN
ejpam-6274	458	2	pure	pure	PROPN
ejpam-6274	458	3	appl	appl	PROPN
ejpam-6274	458	4	.	.	PROPN
ejpam-6274	458	5	math	math	PROPN
ejpam-6274	458	6	,	,	PUNCT
ejpam-6274	458	7	18	18	NUM
ejpam-6274	458	8	(	(	PUNCT
ejpam-6274	458	9	3	3	NUM
ejpam-6274	458	10	)	)	PUNCT
ejpam-6274	458	11	(	(	PUNCT
ejpam-6274	458	12	2025	2025	NUM
ejpam-6274	458	13	)	)	PUNCT
ejpam-6274	458	14	,	,	PUNCT
ejpam-6274	458	15	6274	6274	NUM
ejpam-6274	458	16	20	20	NUM
ejpam-6274	458	17	of	of	ADP
ejpam-6274	458	18	33	33	NUM
ejpam-6274	458	19	e3	e3	NOUN
ejpam-6274	458	20	t	t	NOUN
ejpam-6274	458	21	≲	≲	PROPN
ejpam-6274	458	22	sup	sup	NOUN
ejpam-6274	458	23	ϵ>0	ϵ>0	NOUN
ejpam-6274	458	24	sup	sup	NOUN
ejpam-6274	458	25	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	458	26	2−lλ	2−lλ	NUM
ejpam-6274	458	27	ϵθ	ϵθ	NUM
ejpam-6274	458	28	l∑	l∑	PUNCT
ejpam-6274	459	1	k=−∞	k=−∞	PROPN
ejpam-6274	460	1			PROPN
ejpam-6274	460	2	∞∑	∞∑	PROPN
ejpam-6274	460	3	i	i	PROPN
ejpam-6274	460	4	=	=	SYM
ejpam-6274	460	5	k+2	k+2	NUM
ejpam-6274	460	6	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	460	7	)	)	PUNCT
ejpam-6274	460	8	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	461	1			PROPN
ejpam-6274	461	2	∞∑	∞∑	NUM
ejpam-6274	461	3	j=1	j=1	NOUN
ejpam-6274	461	4	|gj	|gj	NUM
ejpam-6274	461	5	|r	|r	NOUN
ejpam-6274	461	6			PROPN
ejpam-6274	461	7	1	1	NUM
ejpam-6274	461	8	r	r	NOUN
ejpam-6274	461	9	1i	1i	NOUN
ejpam-6274	461	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	461	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	461	12	)	)	PUNCT
ejpam-6274	461	13	p	p	X
ejpam-6274	461	14	(	(	PUNCT
ejpam-6274	461	15	·	·	PUNCT
ejpam-6274	461	16	)	)	PUNCT
ejpam-6274	461	17	2	2	NUM
ejpam-6274	461	18	dq(1+ϵ)(k−i	dq(1+ϵ)(k−i	PROPN
ejpam-6274	461	19	)	)	PUNCT
ejpam-6274	461	20	2	2	NUM
ejpam-6274	461	21			NOUN
ejpam-6274	461	22	(	(	PUNCT
ejpam-6274	461	23	∞∑	∞∑	NUM
ejpam-6274	461	24	i	i	NOUN
ejpam-6274	461	25	=	=	SYM
ejpam-6274	461	26	k+2	k+2	PROPN
ejpam-6274	461	27	2	2	NUM
ejpam-6274	461	28	d(q(1+ϵ))′(k−i	d(q(1+ϵ))′(k−i	NOUN
ejpam-6274	461	29	)	)	PUNCT
ejpam-6274	461	30	2	2	NUM
ejpam-6274	461	31	)	)	PUNCT
ejpam-6274	461	32	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	461	33	)	)	PUNCT
ejpam-6274	461	34	(	(	PUNCT
ejpam-6274	461	35	q(1+ϵ))′	q(1+ϵ))′	PRON
ejpam-6274	461	36			PROPN
ejpam-6274	461	37	1	1	NUM
ejpam-6274	461	38	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	461	39	)	)	PUNCT
ejpam-6274	461	40	≲	≲	PROPN
ejpam-6274	461	41	sup	sup	NOUN
ejpam-6274	461	42	ϵ>0	ϵ>0	NOUN
ejpam-6274	461	43	sup	sup	NOUN
ejpam-6274	461	44	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	461	45	2−lλ	2−lλ	NUM
ejpam-6274	461	46	ϵθ	ϵθ	NUM
ejpam-6274	461	47	l∑	l∑	X
ejpam-6274	461	48	k=−∞	k=−∞	PROPN
ejpam-6274	462	1	∞∑	∞∑	NUM
ejpam-6274	462	2	i	i	PROPN
ejpam-6274	462	3	=	=	SYM
ejpam-6274	462	4	k+2	k+2	NUM
ejpam-6274	462	5	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	462	6	)	)	PUNCT
ejpam-6274	462	7	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	463	1			PROPN
ejpam-6274	463	2	∞∑	∞∑	NUM
ejpam-6274	463	3	j=1	j=1	NOUN
ejpam-6274	463	4	|gj	|gj	NUM
ejpam-6274	463	5	|r	|r	NOUN
ejpam-6274	463	6			PROPN
ejpam-6274	463	7	1	1	NUM
ejpam-6274	463	8	r	r	NOUN
ejpam-6274	463	9	1i	1i	NOUN
ejpam-6274	463	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	463	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	463	12	)	)	PUNCT
ejpam-6274	463	13	p	p	X
ejpam-6274	463	14	(	(	PUNCT
ejpam-6274	463	15	·	·	PUNCT
ejpam-6274	463	16	)	)	PUNCT
ejpam-6274	463	17	2	2	NUM
ejpam-6274	463	18	dq(1+ϵ)(k−i	dq(1+ϵ)(k−i	PROPN
ejpam-6274	463	19	)	)	PUNCT
ejpam-6274	463	20	2	2	NUM
ejpam-6274	463	21			NOUN
ejpam-6274	463	22	1	1	NUM
ejpam-6274	463	23	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	463	24	)	)	PUNCT
ejpam-6274	464	1	=	=	NOUN
ejpam-6274	464	2	sup	sup	NUM
ejpam-6274	464	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	464	4	sup	sup	NOUN
ejpam-6274	464	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	464	6	2−lλ	2−lλ	NUM
ejpam-6274	464	7	ϵθ	ϵθ	NUM
ejpam-6274	464	8	l∑	l∑	PUNCT
ejpam-6274	464	9	k=−∞	k=−∞	PROPN
ejpam-6274	464	10	l+2∑	l+2∑	VERB
ejpam-6274	464	11	i	i	PROPN
ejpam-6274	464	12	=	=	SYM
ejpam-6274	464	13	k+2	k+2	PROPN
ejpam-6274	464	14	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	464	15	)	)	PUNCT
ejpam-6274	464	16	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	465	1			PROPN
ejpam-6274	465	2	∞∑	∞∑	NUM
ejpam-6274	465	3	j=1	j=1	NOUN
ejpam-6274	465	4	|gj	|gj	NUM
ejpam-6274	465	5	|r	|r	NOUN
ejpam-6274	465	6			PROPN
ejpam-6274	465	7	1	1	NUM
ejpam-6274	465	8	r	r	NOUN
ejpam-6274	465	9	1i	1i	NOUN
ejpam-6274	465	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	465	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	465	12	)	)	PUNCT
ejpam-6274	465	13	p	p	X
ejpam-6274	465	14	(	(	PUNCT
ejpam-6274	465	15	·	·	PUNCT
ejpam-6274	465	16	)	)	PUNCT
ejpam-6274	465	17	2	2	NUM
ejpam-6274	465	18	dq(1+ϵ)(k−i	dq(1+ϵ)(k−i	PROPN
ejpam-6274	465	19	)	)	PUNCT
ejpam-6274	465	20	2	2	NUM
ejpam-6274	465	21			NOUN
ejpam-6274	465	22	1	1	NUM
ejpam-6274	465	23	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	465	24	)	)	PUNCT
ejpam-6274	466	1	+	+	CCONJ
ejpam-6274	466	2	sup	sup	NUM
ejpam-6274	466	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	466	4	sup	sup	NOUN
ejpam-6274	466	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	466	6	2−lλ	2−lλ	NUM
ejpam-6274	466	7	ϵθ	ϵθ	NUM
ejpam-6274	466	8	l∑	l∑	X
ejpam-6274	466	9	k=−∞	k=−∞	PROPN
ejpam-6274	467	1	∞∑	∞∑	NUM
ejpam-6274	467	2	i	i	NOUN
ejpam-6274	467	3	=	=	NOUN
ejpam-6274	467	4	l+3	l+3	NUM
ejpam-6274	467	5	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	467	6	)	)	PUNCT
ejpam-6274	467	7	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	468	1			PROPN
ejpam-6274	468	2	∞∑	∞∑	NUM
ejpam-6274	468	3	j=1	j=1	NOUN
ejpam-6274	468	4	|gj	|gj	NUM
ejpam-6274	468	5	|r	|r	NOUN
ejpam-6274	468	6			PROPN
ejpam-6274	468	7	1	1	NUM
ejpam-6274	468	8	r	r	NOUN
ejpam-6274	468	9	1i	1i	NOUN
ejpam-6274	468	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	468	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	468	12	)	)	PUNCT
ejpam-6274	468	13	p	p	X
ejpam-6274	468	14	(	(	PUNCT
ejpam-6274	468	15	·	·	PUNCT
ejpam-6274	468	16	)	)	PUNCT
ejpam-6274	468	17	2	2	NUM
ejpam-6274	468	18	dq(1+ϵ)(k−i	dq(1+ϵ)(k−i	PROPN
ejpam-6274	468	19	)	)	PUNCT
ejpam-6274	468	20	2	2	NUM
ejpam-6274	468	21			NOUN
ejpam-6274	468	22	1	1	NUM
ejpam-6274	468	23	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	468	24	)	)	PUNCT
ejpam-6274	469	1	=	=	NOUN
ejpam-6274	469	2	:	:	PUNCT
ejpam-6274	469	3	i3	i3	NOUN
ejpam-6274	469	4	+	+	CCONJ
ejpam-6274	469	5	i4	i4	PROPN
ejpam-6274	469	6	.	.	PUNCT
ejpam-6274	470	1	now	now	ADV
ejpam-6274	470	2	we	we	PRON
ejpam-6274	470	3	consider	consider	VERB
ejpam-6274	470	4	i3	i3	NOUN
ejpam-6274	470	5	and	and	CCONJ
ejpam-6274	470	6	i4	i4	PROPN
ejpam-6274	470	7	respectively	respectively	ADV
ejpam-6274	470	8	.	.	PUNCT
ejpam-6274	471	1	for	for	ADP
ejpam-6274	471	2	d	d	PROPN
ejpam-6274	471	3	>	>	X
ejpam-6274	471	4	0	0	PROPN
ejpam-6274	471	5	,	,	PUNCT
ejpam-6274	471	6	we	we	PRON
ejpam-6274	471	7	get	get	VERB
ejpam-6274	471	8	i3	i3	NOUN
ejpam-6274	471	9	=	=	NOUN
ejpam-6274	471	10	sup	sup	NOUN
ejpam-6274	471	11	ϵ>0	ϵ>0	NOUN
ejpam-6274	471	12	sup	sup	NOUN
ejpam-6274	471	13	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	471	14	2−lλ	2−lλ	NUM
ejpam-6274	471	15	ϵθ	ϵθ	NUM
ejpam-6274	472	1	l+2∑	l+2∑	VERB
ejpam-6274	472	2	i=−∞	i=−∞	PRON
ejpam-6274	472	3	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	472	4	)	)	PUNCT
ejpam-6274	472	5	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	473	1			PROPN
ejpam-6274	473	2	∞∑	∞∑	NUM
ejpam-6274	473	3	j=1	j=1	NOUN
ejpam-6274	473	4	|gj	|gj	NUM
ejpam-6274	473	5	|r	|r	NOUN
ejpam-6274	473	6			PROPN
ejpam-6274	473	7	1	1	NUM
ejpam-6274	473	8	r	r	NOUN
ejpam-6274	473	9	1i	1i	NOUN
ejpam-6274	473	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	473	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	473	12	)	)	PUNCT
ejpam-6274	473	13	p	p	X
ejpam-6274	473	14	(	(	PUNCT
ejpam-6274	473	15	·	·	PUNCT
ejpam-6274	473	16	)	)	PUNCT
ejpam-6274	473	17	i−2∑	i−2∑	PROPN
ejpam-6274	473	18	k=−∞	k=−∞	PROPN
ejpam-6274	473	19	2	2	NUM
ejpam-6274	473	20	dq(1+ϵ)(k−i	dq(1+ϵ)(k−i	PROPN
ejpam-6274	473	21	)	)	PUNCT
ejpam-6274	473	22	2	2	NUM
ejpam-6274	473	23			NOUN
ejpam-6274	473	24	1	1	NUM
ejpam-6274	473	25	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	473	26	)	)	PUNCT
ejpam-6274	474	1	≲	≲	PROPN
ejpam-6274	474	2	sup	sup	NOUN
ejpam-6274	474	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	474	4	sup	sup	NOUN
ejpam-6274	474	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	474	6	2−lλ	2−lλ	NUM
ejpam-6274	474	7	ϵθ	ϵθ	NUM
ejpam-6274	474	8	l+2∑	l+2∑	VERB
ejpam-6274	474	9	i=−∞	i=−∞	PRON
ejpam-6274	474	10	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	474	11	)	)	PUNCT
ejpam-6274	474	12	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	475	1			PROPN
ejpam-6274	475	2	∞∑	∞∑	NUM
ejpam-6274	475	3	j=1	j=1	NOUN
ejpam-6274	475	4	|gj	|gj	NUM
ejpam-6274	475	5	|r	|r	NOUN
ejpam-6274	475	6			PROPN
ejpam-6274	475	7	1	1	NUM
ejpam-6274	475	8	r	r	NOUN
ejpam-6274	475	9	1i	1i	NOUN
ejpam-6274	475	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	475	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	475	12	)	)	PUNCT
ejpam-6274	475	13	p	p	X
ejpam-6274	475	14	(	(	PUNCT
ejpam-6274	475	15	·	·	PUNCT
ejpam-6274	475	16	)	)	PUNCT
ejpam-6274	475	17			NOUN
ejpam-6274	475	18	1	1	NUM
ejpam-6274	475	19	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	475	20	)	)	PUNCT
ejpam-6274	475	21	≲	≲	PROPN
ejpam-6274	475	22	ef	ef	X
ejpam-6274	475	23	.	.	PUNCT
ejpam-6274	476	1	if	if	SCONJ
ejpam-6274	476	2	d	d	PROPN
ejpam-6274	476	3	>	>	X
ejpam-6274	476	4	0	0	PUNCT
ejpam-6274	476	5	and	and	CCONJ
ejpam-6274	476	6	λ−	λ−	PROPN
ejpam-6274	476	7	d/2	d/2	PROPN
ejpam-6274	476	8	<	<	X
ejpam-6274	476	9	0	0	NUM
ejpam-6274	476	10	,	,	PUNCT
ejpam-6274	476	11	then	then	ADV
ejpam-6274	476	12	we	we	PRON
ejpam-6274	476	13	get	get	VERB
ejpam-6274	476	14	i4	i4	PROPN
ejpam-6274	476	15	≲	≲	PROPN
ejpam-6274	476	16	sup	sup	NOUN
ejpam-6274	476	17	ϵ>0	ϵ>0	NOUN
ejpam-6274	476	18	sup	sup	NOUN
ejpam-6274	476	19	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	476	20	2−lλ	2−lλ	NUM
ejpam-6274	476	21	ϵθ	ϵθ	NUM
ejpam-6274	476	22	l∑	l∑	X
ejpam-6274	477	1	k=−∞	k=−∞	PROPN
ejpam-6274	478	1	∞∑	∞∑	NUM
ejpam-6274	478	2	i	i	PRON
ejpam-6274	478	3	=	=	NOUN
ejpam-6274	478	4	l+3	l+3	X
ejpam-6274	478	5	2	2	NUM
ejpam-6274	478	6	dq(1+ϵ)(k−i	dq(1+ϵ)(k−i	PROPN
ejpam-6274	478	7	)	)	PUNCT
ejpam-6274	478	8	2	2	NUM
ejpam-6274	478	9			NOUN
ejpam-6274	478	10	i∑	i∑	PROPN
ejpam-6274	478	11	m=−∞	m=−∞	NOUN
ejpam-6274	478	12	2η(0)mq(1+ϵ	2η(0)mq(1+ϵ	NUM
ejpam-6274	478	13	)	)	PUNCT
ejpam-6274	478	14	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	479	1			PROPN
ejpam-6274	479	2	∞∑	∞∑	NUM
ejpam-6274	479	3	j=1	j=1	NOUN
ejpam-6274	479	4	|gj	|gj	NUM
ejpam-6274	479	5	|r	|r	NOUN
ejpam-6274	479	6			PROPN
ejpam-6274	479	7	1	1	NUM
ejpam-6274	479	8	r	r	NOUN
ejpam-6274	479	9	1	1	NUM
ejpam-6274	479	10	m	m	NOUN
ejpam-6274	479	11	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	479	12	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	479	13	)	)	PUNCT
ejpam-6274	479	14	p	p	X
ejpam-6274	479	15	(	(	PUNCT
ejpam-6274	479	16	·	·	PUNCT
ejpam-6274	479	17	)	)	PUNCT
ejpam-6274	479	18			PROPN
ejpam-6274	479	19			PROPN
ejpam-6274	479	20	1	1	NUM
ejpam-6274	479	21	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	479	22	)	)	PUNCT
ejpam-6274	480	1	≲	≲	PROPN
ejpam-6274	480	2	sup	sup	NOUN
ejpam-6274	480	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	480	4	sup	sup	NOUN
ejpam-6274	480	5	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	480	6	2−lλ	2−lλ	NUM
ejpam-6274	480	7	{	{	PUNCT
ejpam-6274	480	8	ϵθ	ϵθ	ADP
ejpam-6274	480	9	l∑	l∑	X
ejpam-6274	480	10	k=−∞	k=−∞	PROPN
ejpam-6274	481	1	∞∑	∞∑	NUM
ejpam-6274	481	2	i	i	PRON
ejpam-6274	481	3	=	=	NOUN
ejpam-6274	481	4	l+3	l+3	X
ejpam-6274	481	5	2	2	NUM
ejpam-6274	481	6	dq(1+ϵ)(k−i	dq(1+ϵ)(k−i	PROPN
ejpam-6274	481	7	)	)	PUNCT
ejpam-6274	481	8	2	2	NUM
ejpam-6274	481	9	·	·	SYM
ejpam-6274	481	10	2iq(1+ϵ)λe	2iq(1+ϵ)λe	NUM
ejpam-6274	481	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	481	12	)	)	PUNCT
ejpam-6274	481	13	f	f	NOUN
ejpam-6274	481	14	}	}	PUNCT
ejpam-6274	481	15	1	1	NUM
ejpam-6274	481	16	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	481	17	)	)	PUNCT
ejpam-6274	481	18	m.	m.	NOUN
ejpam-6274	481	19	sultan	sultan	PROPN
ejpam-6274	481	20	,	,	PUNCT
ejpam-6274	481	21	b.	b.	PROPN
ejpam-6274	481	22	sultan	sultan	PROPN
ejpam-6274	481	23	,	,	PUNCT
ejpam-6274	481	24	i	i	PROPN
ejpam-6274	481	25	-	-	PUNCT
ejpam-6274	481	26	l.	l.	PROPN
ejpam-6274	481	27	popa	popa	PROPN
ejpam-6274	481	28	/	/	SYM
ejpam-6274	481	29	eur	eur	PROPN
ejpam-6274	481	30	.	.	PUNCT
ejpam-6274	482	1	j.	j.	PROPN
ejpam-6274	482	2	pure	pure	PROPN
ejpam-6274	482	3	appl	appl	PROPN
ejpam-6274	482	4	.	.	PROPN
ejpam-6274	482	5	math	math	PROPN
ejpam-6274	482	6	,	,	PUNCT
ejpam-6274	482	7	18	18	NUM
ejpam-6274	482	8	(	(	PUNCT
ejpam-6274	482	9	3	3	NUM
ejpam-6274	482	10	)	)	PUNCT
ejpam-6274	482	11	(	(	PUNCT
ejpam-6274	482	12	2025	2025	NUM
ejpam-6274	482	13	)	)	PUNCT
ejpam-6274	482	14	,	,	PUNCT
ejpam-6274	482	15	6274	6274	NUM
ejpam-6274	482	16	21	21	NUM
ejpam-6274	482	17	of	of	ADP
ejpam-6274	482	18	33	33	NUM
ejpam-6274	482	19	=	=	NOUN
ejpam-6274	482	20	sup	sup	NOUN
ejpam-6274	482	21	ϵ>0	ϵ>0	NOUN
ejpam-6274	482	22	sup	sup	NOUN
ejpam-6274	482	23	l⩽0,l∈z	l⩽0,l∈z	NOUN
ejpam-6274	482	24	2−lλ	2−lλ	NUM
ejpam-6274	482	25	{	{	PUNCT
ejpam-6274	482	26	ϵθ	ϵθ	X
ejpam-6274	482	27	(	(	PUNCT
ejpam-6274	482	28	l∑	l∑	PROPN
ejpam-6274	482	29	k=−∞	k=−∞	PROPN
ejpam-6274	483	1	2dq(1+ϵ)k/2	2dq(1+ϵ)k/2	NUM
ejpam-6274	483	2	)	)	PUNCT
ejpam-6274	483	3	(	(	PUNCT
ejpam-6274	483	4	∞∑	∞∑	NUM
ejpam-6274	483	5	i	i	NOUN
ejpam-6274	483	6	=	=	NOUN
ejpam-6274	483	7	l+3	l+3	NOUN
ejpam-6274	483	8	2(λ−d/2)q(1+ϵ)i	2(λ−d/2)q(1+ϵ)i	NUM
ejpam-6274	483	9	)	)	PUNCT
ejpam-6274	483	10	e	e	NOUN
ejpam-6274	483	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	483	12	)	)	PUNCT
ejpam-6274	483	13	f	f	NOUN
ejpam-6274	483	14	}	}	PUNCT
ejpam-6274	483	15	1	1	NUM
ejpam-6274	483	16	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	483	17	)	)	PUNCT
ejpam-6274	484	1	≲	≲	PROPN
ejpam-6274	484	2	sup	sup	NOUN
ejpam-6274	484	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	484	4	sup	sup	NOUN
ejpam-6274	484	5	l⩽0,l∈z	l⩽0,l∈z	VERB
ejpam-6274	484	6	{	{	PUNCT
ejpam-6274	484	7	2−lq(1+ϵ)λ2dq(1+ϵ)l/22(λ−d/2)q(1+ϵ)le	2−lq(1+ϵ)λ2dq(1+ϵ)l/22(λ−d/2)q(1+ϵ)le	NUM
ejpam-6274	484	8	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	484	9	)	)	PUNCT
ejpam-6274	484	10	f	f	NOUN
ejpam-6274	484	11	}	}	PUNCT
ejpam-6274	484	12	1	1	NUM
ejpam-6274	484	13	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	484	14	)	)	PUNCT
ejpam-6274	484	15	=	=	SYM
ejpam-6274	484	16	ef	ef	PROPN
ejpam-6274	484	17	.	.	PUNCT
ejpam-6274	485	1	hence	hence	ADV
ejpam-6274	485	2	we	we	PRON
ejpam-6274	485	3	get	get	VERB
ejpam-6274	485	4	e3	e3	PRON
ejpam-6274	485	5	t	t	NOUN
ejpam-6274	485	6	≲	≲	PROPN
ejpam-6274	485	7	ef	ef	X
ejpam-6274	485	8	.	.	PUNCT
ejpam-6274	486	1	for	for	ADP
ejpam-6274	486	2	0	0	NUM
ejpam-6274	486	3	<	<	X
ejpam-6274	486	4	q(1	q(1	PROPN
ejpam-6274	486	5	+	+	CCONJ
ejpam-6274	486	6	ϵ	ϵ	X
ejpam-6274	486	7	)	)	PUNCT
ejpam-6274	486	8	⩽	⩽	NOUN
ejpam-6274	486	9	1	1	NUM
ejpam-6274	486	10	,	,	PUNCT
ejpam-6274	486	11	then	then	ADV
ejpam-6274	486	12	using	use	VERB
ejpam-6274	486	13	(	(	PUNCT
ejpam-6274	486	14	3.4	3.4	NUM
ejpam-6274	486	15	)	)	PUNCT
ejpam-6274	486	16	in	in	ADP
ejpam-6274	486	17	(	(	PUNCT
ejpam-6274	486	18	3.7	3.7	NUM
ejpam-6274	486	19	)	)	PUNCT
ejpam-6274	486	20	we	we	PRON
ejpam-6274	486	21	get	get	VERB
ejpam-6274	486	22	e3	e3	PRON
ejpam-6274	486	23	t	t	NOUN
ejpam-6274	486	24	≲	≲	PROPN
ejpam-6274	486	25	sup	sup	NOUN
ejpam-6274	486	26	ϵ>0	ϵ>0	NOUN
ejpam-6274	486	27	sup	sup	NOUN
ejpam-6274	486	28	l⩽0,l∈z	l⩽0,l∈z	PROPN
ejpam-6274	486	29	2−lλ	2−lλ	NUM
ejpam-6274	486	30			NUM
ejpam-6274	486	31	l∑	l∑	PUNCT
ejpam-6274	487	1	k=−∞	k=−∞	PROPN
ejpam-6274	488	1	∞∑	∞∑	NUM
ejpam-6274	488	2	i	i	PROPN
ejpam-6274	488	3	=	=	SYM
ejpam-6274	488	4	k+2	k+2	NUM
ejpam-6274	488	5	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	488	6	)	)	PUNCT
ejpam-6274	488	7	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	489	1			PROPN
ejpam-6274	489	2	∞∑	∞∑	NUM
ejpam-6274	489	3	j=1	j=1	NOUN
ejpam-6274	489	4	|gj	|gj	NUM
ejpam-6274	489	5	|r	|r	NOUN
ejpam-6274	489	6			PROPN
ejpam-6274	489	7	1	1	NUM
ejpam-6274	489	8	r	r	NOUN
ejpam-6274	489	9	1i	1i	NOUN
ejpam-6274	489	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	489	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	489	12	)	)	PUNCT
ejpam-6274	489	13	p	p	X
ejpam-6274	489	14	(	(	PUNCT
ejpam-6274	489	15	·	·	PUNCT
ejpam-6274	489	16	)	)	PUNCT
ejpam-6274	489	17	2dq(k−i	2dq(k−i	X
ejpam-6274	489	18	)	)	PUNCT
ejpam-6274	489	19			NOUN
ejpam-6274	489	20	1	1	NUM
ejpam-6274	489	21	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	489	22	)	)	PUNCT
ejpam-6274	490	1	≲	≲	PROPN
ejpam-6274	490	2	sup	sup	NOUN
ejpam-6274	490	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	490	4	sup	sup	NOUN
ejpam-6274	490	5	l⩽0,l∈z	l⩽0,l∈z	PROPN
ejpam-6274	490	6	2−lλ	2−lλ	NUM
ejpam-6274	490	7			NUM
ejpam-6274	490	8	l∑	l∑	PUNCT
ejpam-6274	491	1	k=−∞	k=−∞	PROPN
ejpam-6274	491	2	l+2∑	l+2∑	VERB
ejpam-6274	491	3	i	i	PROPN
ejpam-6274	491	4	=	=	SYM
ejpam-6274	491	5	k+2	k+2	PROPN
ejpam-6274	491	6	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	491	7	)	)	PUNCT
ejpam-6274	491	8	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	492	1			PROPN
ejpam-6274	492	2	∞∑	∞∑	NUM
ejpam-6274	492	3	j=1	j=1	NOUN
ejpam-6274	492	4	|gj	|gj	NUM
ejpam-6274	492	5	|r	|r	NOUN
ejpam-6274	492	6			PROPN
ejpam-6274	492	7	1	1	NUM
ejpam-6274	492	8	r	r	NOUN
ejpam-6274	492	9	1i	1i	NOUN
ejpam-6274	492	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	492	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	492	12	)	)	PUNCT
ejpam-6274	492	13	p	p	X
ejpam-6274	492	14	(	(	PUNCT
ejpam-6274	492	15	·	·	PUNCT
ejpam-6274	492	16	)	)	PUNCT
ejpam-6274	492	17	2dq(1+ϵ)(k−i	2dq(1+ϵ)(k−i	X
ejpam-6274	492	18	)	)	PUNCT
ejpam-6274	492	19			NOUN
ejpam-6274	492	20	1	1	NUM
ejpam-6274	492	21	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	492	22	)	)	PUNCT
ejpam-6274	493	1	+	+	CCONJ
ejpam-6274	493	2	sup	sup	NUM
ejpam-6274	493	3	ϵ>0	ϵ>0	NOUN
ejpam-6274	493	4	sup	sup	NOUN
ejpam-6274	493	5	l⩽0,l∈z	l⩽0,l∈z	PROPN
ejpam-6274	493	6	2−lλ	2−lλ	NUM
ejpam-6274	493	7			NUM
ejpam-6274	493	8	l∑	l∑	PUNCT
ejpam-6274	493	9	k=−∞	k=−∞	PROPN
ejpam-6274	494	1	∞∑	∞∑	NUM
ejpam-6274	494	2	i	i	NOUN
ejpam-6274	494	3	=	=	NOUN
ejpam-6274	494	4	l+3	l+3	NUM
ejpam-6274	494	5	2η(0)iq(1+ϵ	2η(0)iq(1+ϵ	NUM
ejpam-6274	494	6	)	)	PUNCT
ejpam-6274	494	7	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	495	1			PROPN
ejpam-6274	495	2	∞∑	∞∑	NUM
ejpam-6274	495	3	j=1	j=1	NOUN
ejpam-6274	495	4	|gj	|gj	NUM
ejpam-6274	495	5	|r	|r	NOUN
ejpam-6274	495	6			PROPN
ejpam-6274	495	7	1	1	NUM
ejpam-6274	495	8	r	r	NOUN
ejpam-6274	495	9	1i	1i	NOUN
ejpam-6274	495	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	495	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	495	12	)	)	PUNCT
ejpam-6274	495	13	p	p	X
ejpam-6274	495	14	(	(	PUNCT
ejpam-6274	495	15	·	·	PUNCT
ejpam-6274	495	16	)	)	PUNCT
ejpam-6274	495	17	2dq(1+ϵ)(k−i	2dq(1+ϵ)(k−i	X
ejpam-6274	495	18	)	)	PUNCT
ejpam-6274	495	19			NOUN
ejpam-6274	495	20	1	1	NUM
ejpam-6274	495	21	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	495	22	)	)	PUNCT
ejpam-6274	495	23	=	=	PUNCT
ejpam-6274	495	24	:	:	PUNCT
ejpam-6274	495	25	j3	j3	PROPN
ejpam-6274	495	26	+	+	CCONJ
ejpam-6274	495	27	j4	j4	PROPN
ejpam-6274	495	28	.	.	PUNCT
ejpam-6274	496	1	similarly	similarly	ADV
ejpam-6274	496	2	we	we	PRON
ejpam-6274	496	3	conclude	conclude	VERB
ejpam-6274	496	4	that	that	SCONJ
ejpam-6274	496	5	e3	e3	VERB
ejpam-6274	496	6	t	t	NOUN
ejpam-6274	496	7	≲	≲	PROPN
ejpam-6274	496	8	ef	ef	PROPN
ejpam-6274	496	9	holds	hold	VERB
ejpam-6274	496	10	for	for	ADP
ejpam-6274	496	11	0	0	NUM
ejpam-6274	496	12	<	<	X
ejpam-6274	496	13	q(1	q(1	PROPN
ejpam-6274	496	14	+	+	CCONJ
ejpam-6274	496	15	ϵ	ϵ	X
ejpam-6274	496	16	)	)	PUNCT
ejpam-6274	496	17	⩽	⩽	NOUN
ejpam-6274	497	1	1	1	X
ejpam-6274	497	2	.	.	PUNCT
ejpam-6274	498	1	then	then	ADV
ejpam-6274	498	2	we	we	PRON
ejpam-6274	498	3	consider	consider	VERB
ejpam-6274	498	4	h3	h3	NOUN
ejpam-6274	498	5	t	t	PROPN
ejpam-6274	498	6	.	.	PUNCT
ejpam-6274	499	1	similarly	similarly	ADV
ejpam-6274	499	2	,	,	PUNCT
ejpam-6274	499	3	we	we	PRON
ejpam-6274	499	4	have	have	VERB
ejpam-6274	499	5	h3	h3	NOUN
ejpam-6274	499	6	t	t	PROPN
ejpam-6274	499	7	≲	≲	PROPN
ejpam-6274	499	8	2−lλ	2−lλ	NUM
ejpam-6274	499	9	ϵθ	ϵθ	NUM
ejpam-6274	499	10	l∑	l∑	PUNCT
ejpam-6274	500	1	k=0	k=0	PROPN
ejpam-6274	500	2			VERB
ejpam-6274	500	3	∞∑	∞∑	PROPN
ejpam-6274	500	4	i	i	PROPN
ejpam-6274	500	5	=	=	SYM
ejpam-6274	500	6	k+2	k+2	PROPN
ejpam-6274	500	7	2η∞i	2η∞i	NUM
ejpam-6274	500	8	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	501	1			PROPN
ejpam-6274	501	2	∞∑	∞∑	NUM
ejpam-6274	501	3	j=1	j=1	NOUN
ejpam-6274	501	4	|gj	|gj	NUM
ejpam-6274	501	5	|r	|r	NOUN
ejpam-6274	501	6			PROPN
ejpam-6274	501	7	1	1	NUM
ejpam-6274	501	8	r	r	NOUN
ejpam-6274	501	9	1i	1i	NOUN
ejpam-6274	501	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	501	11	p	p	X
ejpam-6274	501	12	(	(	PUNCT
ejpam-6274	501	13	·	·	PUNCT
ejpam-6274	501	14	)	)	PUNCT
ejpam-6274	501	15	2d1(k−i	2d1(k−i	NUM
ejpam-6274	501	16	)	)	PUNCT
ejpam-6274	501	17			PROPN
ejpam-6274	501	18	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	501	19	)	)	PUNCT
ejpam-6274	501	20			NOUN
ejpam-6274	501	21	1	1	NUM
ejpam-6274	501	22	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	501	23	)	)	PUNCT
ejpam-6274	501	24	(	(	PUNCT
ejpam-6274	501	25	3.8	3.8	NUM
ejpam-6274	501	26	)	)	PUNCT
ejpam-6274	501	27	here	here	ADV
ejpam-6274	501	28	d1	d1	PROPN
ejpam-6274	501	29	=	=	SYM
ejpam-6274	501	30	nω1	nω1	X
ejpam-6274	502	1	+	+	X
ejpam-6274	502	2	η∞	η∞	ADP
ejpam-6274	502	3	>	>	X
ejpam-6274	502	4	0	0	X
ejpam-6274	502	5	.	.	PUNCT
ejpam-6274	503	1	if	if	SCONJ
ejpam-6274	503	2	1	1	NUM
ejpam-6274	503	3	<	<	X
ejpam-6274	503	4	q(1	q(1	PROPN
ejpam-6274	503	5	+	+	CCONJ
ejpam-6274	503	6	ϵ	ϵ	X
ejpam-6274	503	7	)	)	PUNCT
ejpam-6274	503	8	<	<	X
ejpam-6274	503	9	∞	∞	PROPN
ejpam-6274	503	10	,	,	PUNCT
ejpam-6274	503	11	then	then	ADV
ejpam-6274	503	12	hölder	hölder	PROPN
ejpam-6274	503	13	’s	’s	PART
ejpam-6274	503	14	inequality	inequality	NOUN
ejpam-6274	503	15	yields	yield	VERB
ejpam-6274	503	16	h3	h3	NOUN
ejpam-6274	503	17	t	t	PROPN
ejpam-6274	503	18	≲2−lλ	≲2−lλ	NOUN
ejpam-6274	503	19	ϵθ	ϵθ	PROPN
ejpam-6274	503	20	l∑	l∑	PUNCT
ejpam-6274	504	1	k=0	k=0	PUNCT
ejpam-6274	504	2			VERB
ejpam-6274	504	3	∞∑	∞∑	PROPN
ejpam-6274	504	4	i	i	PROPN
ejpam-6274	504	5	=	=	SYM
ejpam-6274	504	6	k+2	k+2	SYM
ejpam-6274	504	7	2η∞q(1+ϵ)i	2η∞q(1+ϵ)i	NUM
ejpam-6274	504	8	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	505	1			PROPN
ejpam-6274	505	2	∞∑	∞∑	ADJ
ejpam-6274	505	3	j=1	j=1	NOUN
ejpam-6274	505	4	|gj	|gj	NUM
ejpam-6274	505	5	|r	|r	NOUN
ejpam-6274	505	6			PROPN
ejpam-6274	505	7	1	1	NUM
ejpam-6274	505	8	r	r	NOUN
ejpam-6274	505	9	1i	1i	NOUN
ejpam-6274	505	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	505	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	505	12	)	)	PUNCT
ejpam-6274	505	13	p	p	X
ejpam-6274	505	14	(	(	PUNCT
ejpam-6274	505	15	·	·	PUNCT
ejpam-6274	505	16	)	)	PUNCT
ejpam-6274	505	17	2	2	NUM
ejpam-6274	505	18	d1q(1+ϵ)(k−i	d1q(1+ϵ)(k−i	NOUN
ejpam-6274	505	19	)	)	PUNCT
ejpam-6274	505	20	2	2	NUM
ejpam-6274	505	21			NOUN
ejpam-6274	505	22	m.	m.	NOUN
ejpam-6274	505	23	sultan	sultan	PROPN
ejpam-6274	505	24	,	,	PUNCT
ejpam-6274	505	25	b.	b.	PROPN
ejpam-6274	505	26	sultan	sultan	PROPN
ejpam-6274	505	27	,	,	PUNCT
ejpam-6274	505	28	i	i	PROPN
ejpam-6274	505	29	-	-	PUNCT
ejpam-6274	505	30	l.	l.	PROPN
ejpam-6274	505	31	popa	popa	PROPN
ejpam-6274	505	32	/	/	SYM
ejpam-6274	505	33	eur	eur	PROPN
ejpam-6274	505	34	.	.	PUNCT
ejpam-6274	506	1	j.	j.	PROPN
ejpam-6274	506	2	pure	pure	PROPN
ejpam-6274	506	3	appl	appl	PROPN
ejpam-6274	506	4	.	.	PROPN
ejpam-6274	506	5	math	math	PROPN
ejpam-6274	506	6	,	,	PUNCT
ejpam-6274	506	7	18	18	NUM
ejpam-6274	506	8	(	(	PUNCT
ejpam-6274	506	9	3	3	NUM
ejpam-6274	506	10	)	)	PUNCT
ejpam-6274	506	11	(	(	PUNCT
ejpam-6274	506	12	2025	2025	NUM
ejpam-6274	506	13	)	)	PUNCT
ejpam-6274	506	14	,	,	PUNCT
ejpam-6274	506	15	6274	6274	NUM
ejpam-6274	506	16	22	22	NUM
ejpam-6274	506	17	of	of	ADP
ejpam-6274	506	18	33	33	NUM
ejpam-6274	506	19	×	×	NOUN
ejpam-6274	506	20	(	(	PUNCT
ejpam-6274	506	21	∞∑	∞∑	NUM
ejpam-6274	506	22	i	i	NOUN
ejpam-6274	506	23	=	=	SYM
ejpam-6274	506	24	k+2	k+2	PROPN
ejpam-6274	506	25	2	2	NUM
ejpam-6274	506	26	d1(q(1+ϵ))′(k−i	d1(q(1+ϵ))′(k−i	NOUN
ejpam-6274	506	27	)	)	PUNCT
ejpam-6274	506	28	2	2	NUM
ejpam-6274	506	29	)	)	PUNCT
ejpam-6274	506	30	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	506	31	)	)	PUNCT
ejpam-6274	506	32	(	(	PUNCT
ejpam-6274	506	33	q(1+ϵ))′	q(1+ϵ))′	NUM
ejpam-6274	506	34			NOUN
ejpam-6274	506	35	1	1	NUM
ejpam-6274	506	36	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	506	37	)	)	PUNCT
ejpam-6274	506	38	≲2−lλ	≲2−lλ	NOUN
ejpam-6274	506	39	ϵθ	ϵθ	ADV
ejpam-6274	506	40	1	1	NUM
ejpam-6274	506	41	q∑	q∑	PROPN
ejpam-6274	506	42	k=0	k=0	PROPN
ejpam-6274	507	1	∞∑	∞∑	PROPN
ejpam-6274	507	2	i	i	PROPN
ejpam-6274	507	3	=	=	SYM
ejpam-6274	507	4	k+2	k+2	SYM
ejpam-6274	507	5	2η∞q(1+ϵ)i	2η∞q(1+ϵ)i	NUM
ejpam-6274	507	6	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	508	1			PROPN
ejpam-6274	508	2	∞∑	∞∑	ADJ
ejpam-6274	508	3	j=1	j=1	NOUN
ejpam-6274	508	4	|gj	|gj	NUM
ejpam-6274	508	5	|r	|r	NOUN
ejpam-6274	508	6			PROPN
ejpam-6274	508	7	1	1	NUM
ejpam-6274	508	8	r	r	NOUN
ejpam-6274	508	9	1i	1i	NOUN
ejpam-6274	508	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	508	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	508	12	)	)	PUNCT
ejpam-6274	508	13	p	p	X
ejpam-6274	508	14	(	(	PUNCT
ejpam-6274	508	15	·	·	PUNCT
ejpam-6274	508	16	)	)	PUNCT
ejpam-6274	508	17	2	2	NUM
ejpam-6274	508	18	d1q(1+ϵ)(k−i	d1q(1+ϵ)(k−i	NOUN
ejpam-6274	508	19	)	)	PUNCT
ejpam-6274	508	20	2	2	NUM
ejpam-6274	508	21			NOUN
ejpam-6274	508	22	1	1	NUM
ejpam-6274	508	23	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	508	24	)	)	PUNCT
ejpam-6274	508	25	⩽2−lλ	⩽2−lλ	PROPN
ejpam-6274	508	26	ϵθ	ϵθ	NUM
ejpam-6274	508	27	l∑	l∑	PUNCT
ejpam-6274	509	1	k=0	k=0	PROPN
ejpam-6274	509	2	l+2∑	l+2∑	VERB
ejpam-6274	509	3	i	i	PROPN
ejpam-6274	509	4	=	=	SYM
ejpam-6274	509	5	k+2	k+2	SYM
ejpam-6274	509	6	2η∞q(1+ϵ)i	2η∞q(1+ϵ)i	NUM
ejpam-6274	509	7	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	510	1			PROPN
ejpam-6274	510	2	∞∑	∞∑	ADJ
ejpam-6274	510	3	j=1	j=1	NOUN
ejpam-6274	510	4	|gj	|gj	NUM
ejpam-6274	510	5	|r	|r	NOUN
ejpam-6274	510	6			PROPN
ejpam-6274	510	7	1	1	NUM
ejpam-6274	510	8	r	r	NOUN
ejpam-6274	510	9	1i	1i	NOUN
ejpam-6274	510	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	510	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	510	12	)	)	PUNCT
ejpam-6274	510	13	p	p	X
ejpam-6274	510	14	(	(	PUNCT
ejpam-6274	510	15	·	·	PUNCT
ejpam-6274	510	16	)	)	PUNCT
ejpam-6274	510	17	2	2	NUM
ejpam-6274	510	18	d1q(1+ϵ)(k−i	d1q(1+ϵ)(k−i	NOUN
ejpam-6274	510	19	)	)	PUNCT
ejpam-6274	510	20	2	2	NUM
ejpam-6274	510	21			NOUN
ejpam-6274	510	22	1	1	NUM
ejpam-6274	510	23	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	510	24	)	)	PUNCT
ejpam-6274	511	1	+	+	CCONJ
ejpam-6274	511	2	2−lλ	2−lλ	NUM
ejpam-6274	511	3	ϵθ	ϵθ	NUM
ejpam-6274	511	4	l∑	l∑	PUNCT
ejpam-6274	512	1	k=0	k=0	PROPN
ejpam-6274	513	1	∞∑	∞∑	NUM
ejpam-6274	513	2	i	i	NOUN
ejpam-6274	513	3	=	=	NOUN
ejpam-6274	513	4	l+3	l+3	NUM
ejpam-6274	513	5	2η∞q(1+ϵ)i	2η∞q(1+ϵ)i	NUM
ejpam-6274	513	6	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	514	1			PROPN
ejpam-6274	514	2	∞∑	∞∑	ADJ
ejpam-6274	514	3	j=1	j=1	NOUN
ejpam-6274	514	4	|gj	|gj	NUM
ejpam-6274	514	5	|r	|r	NOUN
ejpam-6274	514	6			PROPN
ejpam-6274	514	7	1	1	NUM
ejpam-6274	514	8	r	r	NOUN
ejpam-6274	514	9	1i	1i	NOUN
ejpam-6274	514	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	514	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	514	12	)	)	PUNCT
ejpam-6274	514	13	p	p	X
ejpam-6274	514	14	(	(	PUNCT
ejpam-6274	514	15	·	·	PUNCT
ejpam-6274	514	16	)	)	PUNCT
ejpam-6274	514	17	2	2	NUM
ejpam-6274	514	18	d1q(1+ϵ)(k−i	d1q(1+ϵ)(k−i	NOUN
ejpam-6274	514	19	)	)	PUNCT
ejpam-6274	514	20	2	2	NUM
ejpam-6274	514	21			NOUN
ejpam-6274	514	22	1	1	NUM
ejpam-6274	514	23	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	514	24	)	)	PUNCT
ejpam-6274	515	1	=	=	SYM
ejpam-6274	515	2	:	:	PUNCT
ejpam-6274	515	3	i5	i5	ADJ
ejpam-6274	515	4	+	+	CCONJ
ejpam-6274	515	5	i6	i6	NOUN
ejpam-6274	515	6	.	.	PUNCT
ejpam-6274	516	1	because	because	SCONJ
ejpam-6274	516	2	d1	d1	PROPN
ejpam-6274	516	3	>	>	X
ejpam-6274	516	4	0	0	NUM
ejpam-6274	516	5	,	,	PUNCT
ejpam-6274	516	6	we	we	PRON
ejpam-6274	516	7	have	have	VERB
ejpam-6274	516	8	i5	i5	NOUN
ejpam-6274	516	9	=	=	NOUN
ejpam-6274	517	1	2−lλ	2−lλ	NUM
ejpam-6274	517	2	ϵθ	ϵθ	NUM
ejpam-6274	517	3	l+2∑	l+2∑	VERB
ejpam-6274	517	4	i=2	i=2	PROPN
ejpam-6274	517	5	2η∞q(1+ϵ)i	2η∞q(1+ϵ)i	NUM
ejpam-6274	517	6	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	518	1			PROPN
ejpam-6274	518	2	∞∑	∞∑	ADJ
ejpam-6274	518	3	j=1	j=1	NOUN
ejpam-6274	518	4	|gj	|gj	NUM
ejpam-6274	518	5	|r	|r	NOUN
ejpam-6274	518	6			PROPN
ejpam-6274	518	7	1	1	NUM
ejpam-6274	518	8	r	r	NOUN
ejpam-6274	518	9	1i	1i	NOUN
ejpam-6274	518	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	518	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	518	12	)	)	PUNCT
ejpam-6274	518	13	p	p	X
ejpam-6274	518	14	(	(	PUNCT
ejpam-6274	518	15	·	·	PUNCT
ejpam-6274	518	16	)	)	PUNCT
ejpam-6274	518	17	i−2∑	i−2∑	PROPN
ejpam-6274	518	18	k=0	k=0	PROPN
ejpam-6274	518	19	2	2	NUM
ejpam-6274	518	20	d1q(k−i	d1q(k−i	NOUN
ejpam-6274	518	21	)	)	PUNCT
ejpam-6274	518	22	2	2	NUM
ejpam-6274	518	23			NOUN
ejpam-6274	518	24	1	1	NUM
ejpam-6274	518	25	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	518	26	)	)	PUNCT
ejpam-6274	518	27	≲	≲	PROPN
ejpam-6274	518	28	2−lλ	2−lλ	NUM
ejpam-6274	518	29	ϵθ	ϵθ	NUM
ejpam-6274	518	30	l+2∑	l+2∑	VERB
ejpam-6274	518	31	i=2	i=2	PROPN
ejpam-6274	518	32	2η∞q(1+ϵ)i	2η∞q(1+ϵ)i	NUM
ejpam-6274	518	33	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	519	1			PROPN
ejpam-6274	519	2	∞∑	∞∑	ADJ
ejpam-6274	519	3	j=1	j=1	NOUN
ejpam-6274	519	4	|gj	|gj	NUM
ejpam-6274	519	5	|r	|r	NOUN
ejpam-6274	519	6			PROPN
ejpam-6274	519	7	1	1	NUM
ejpam-6274	519	8	r	r	NOUN
ejpam-6274	519	9	1i	1i	NOUN
ejpam-6274	519	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	519	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	519	12	)	)	PUNCT
ejpam-6274	519	13	p	p	X
ejpam-6274	519	14	(	(	PUNCT
ejpam-6274	519	15	·	·	PUNCT
ejpam-6274	519	16	)	)	PUNCT
ejpam-6274	519	17			NOUN
ejpam-6274	519	18	1	1	NUM
ejpam-6274	519	19	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	519	20	)	)	PUNCT
ejpam-6274	520	1	≲	≲	PROPN
ejpam-6274	520	2	hf	hf	NOUN
ejpam-6274	520	3	.	.	PUNCT
ejpam-6274	521	1	since	since	SCONJ
ejpam-6274	521	2	d1	d1	PROPN
ejpam-6274	521	3	>	>	X
ejpam-6274	521	4	0	0	PUNCT
ejpam-6274	521	5	and	and	CCONJ
ejpam-6274	521	6	λ−	λ−	PROPN
ejpam-6274	521	7	d1/2	d1/2	NOUN
ejpam-6274	521	8	<	<	X
ejpam-6274	521	9	0	0	NUM
ejpam-6274	521	10	,	,	PUNCT
ejpam-6274	521	11	we	we	PRON
ejpam-6274	521	12	obtain	obtain	VERB
ejpam-6274	521	13	i6	i6	NOUN
ejpam-6274	521	14	=	=	PUNCT
ejpam-6274	522	1	2−lλ	2−lλ	NUM
ejpam-6274	522	2	ϵθ	ϵθ	NUM
ejpam-6274	522	3	l∑	l∑	PUNCT
ejpam-6274	523	1	k=0	k=0	PROPN
ejpam-6274	524	1	∞∑	∞∑	NUM
ejpam-6274	524	2	i	i	NOUN
ejpam-6274	524	3	=	=	NOUN
ejpam-6274	524	4	l+3	l+3	NUM
ejpam-6274	524	5	2η∞q(1+ϵ)i	2η∞q(1+ϵ)i	NUM
ejpam-6274	524	6	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	525	1			PROPN
ejpam-6274	525	2	∞∑	∞∑	ADJ
ejpam-6274	525	3	j=1	j=1	NOUN
ejpam-6274	525	4	|gj	|gj	NUM
ejpam-6274	525	5	|r	|r	NOUN
ejpam-6274	525	6			PROPN
ejpam-6274	525	7	1	1	NUM
ejpam-6274	525	8	r	r	NOUN
ejpam-6274	525	9	1i	1i	NOUN
ejpam-6274	525	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	525	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	525	12	)	)	PUNCT
ejpam-6274	525	13	p	p	X
ejpam-6274	525	14	(	(	PUNCT
ejpam-6274	525	15	·	·	PUNCT
ejpam-6274	525	16	)	)	PUNCT
ejpam-6274	525	17	2	2	NUM
ejpam-6274	525	18	d1q(1+ϵ)(k−i	d1q(1+ϵ)(k−i	NOUN
ejpam-6274	525	19	)	)	PUNCT
ejpam-6274	525	20	2	2	NUM
ejpam-6274	525	21			NOUN
ejpam-6274	525	22	1	1	NUM
ejpam-6274	525	23	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	525	24	)	)	PUNCT
ejpam-6274	525	25	⩽	⩽	NOUN
ejpam-6274	526	1	2−lλ	2−lλ	NUM
ejpam-6274	526	2	{	{	PUNCT
ejpam-6274	526	3	ϵθ	ϵθ	X
ejpam-6274	526	4	(	(	PUNCT
ejpam-6274	526	5	l∑	l∑	X
ejpam-6274	526	6	k=0	k=0	PROPN
ejpam-6274	526	7	2	2	NUM
ejpam-6274	526	8	d1q(1+ϵ)k	d1q(1+ϵ)k	NOUN
ejpam-6274	526	9	2	2	NUM
ejpam-6274	526	10	)	)	PUNCT
ejpam-6274	526	11	(	(	PUNCT
ejpam-6274	526	12	∞∑	∞∑	NUM
ejpam-6274	526	13	i	i	NOUN
ejpam-6274	526	14	=	=	NOUN
ejpam-6274	526	15	l+3	l+3	PROPN
ejpam-6274	526	16	2(λ−d1/2)q(1+ϵ)i	2(λ−d1/2)q(1+ϵ)i	NUM
ejpam-6274	526	17	)	)	PUNCT
ejpam-6274	526	18	m.	m.	NOUN
ejpam-6274	526	19	sultan	sultan	PROPN
ejpam-6274	526	20	,	,	PUNCT
ejpam-6274	526	21	b.	b.	PROPN
ejpam-6274	526	22	sultan	sultan	PROPN
ejpam-6274	526	23	,	,	PUNCT
ejpam-6274	526	24	i	i	PROPN
ejpam-6274	526	25	-	-	PUNCT
ejpam-6274	526	26	l.	l.	PROPN
ejpam-6274	526	27	popa	popa	PROPN
ejpam-6274	526	28	/	/	SYM
ejpam-6274	526	29	eur	eur	PROPN
ejpam-6274	526	30	.	.	PUNCT
ejpam-6274	527	1	j.	j.	PROPN
ejpam-6274	527	2	pure	pure	PROPN
ejpam-6274	527	3	appl	appl	PROPN
ejpam-6274	527	4	.	.	PROPN
ejpam-6274	527	5	math	math	PROPN
ejpam-6274	527	6	,	,	PUNCT
ejpam-6274	527	7	18	18	NUM
ejpam-6274	527	8	(	(	PUNCT
ejpam-6274	527	9	3	3	NUM
ejpam-6274	527	10	)	)	PUNCT
ejpam-6274	527	11	(	(	PUNCT
ejpam-6274	527	12	2025	2025	NUM
ejpam-6274	527	13	)	)	PUNCT
ejpam-6274	527	14	,	,	PUNCT
ejpam-6274	527	15	6274	6274	NUM
ejpam-6274	527	16	23	23	NUM
ejpam-6274	527	17	of	of	ADP
ejpam-6274	527	18	33	33	NUM
ejpam-6274	527	19	×	×	NOUN
ejpam-6274	527	20			NOUN
ejpam-6274	527	21	i∑	i∑	PROPN
ejpam-6274	527	22	m=0	m=0	PROPN
ejpam-6274	527	23	2η∞q(1+ϵ)m	2η∞q(1+ϵ)m	NUM
ejpam-6274	527	24	∥∥∥∥∥∥∥2−iλ	∥∥∥∥∥∥∥2−iλ	NOUN
ejpam-6274	527	25			PROPN
ejpam-6274	527	26	∞∑	∞∑	ADJ
ejpam-6274	527	27	j=1	j=1	NOUN
ejpam-6274	527	28	|gj	|gj	NUM
ejpam-6274	527	29	|r	|r	NOUN
ejpam-6274	527	30			PROPN
ejpam-6274	527	31	1	1	NUM
ejpam-6274	527	32	r	r	NOUN
ejpam-6274	527	33	1	1	NUM
ejpam-6274	527	34	m	m	NOUN
ejpam-6274	527	35	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	527	36	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	527	37	)	)	PUNCT
ejpam-6274	528	1	p	p	X
ejpam-6274	528	2	(	(	PUNCT
ejpam-6274	528	3	·	·	PUNCT
ejpam-6274	528	4	)	)	PUNCT
ejpam-6274	528	5			PROPN
ejpam-6274	528	6			PROPN
ejpam-6274	528	7	1	1	NUM
ejpam-6274	528	8	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	528	9	)	)	PUNCT
ejpam-6274	529	1	≲	≲	PROPN
ejpam-6274	529	2	2−lλ2d1/2l2(λ−d1/2)lhf	2−lλ2d1/2l2(λ−d1/2)lhf	NUM
ejpam-6274	529	3	=	=	SYM
ejpam-6274	529	4	hf	hf	NOUN
ejpam-6274	529	5	.	.	PUNCT
ejpam-6274	530	1	for	for	ADP
ejpam-6274	530	2	0	0	NUM
ejpam-6274	530	3	<	<	X
ejpam-6274	530	4	q(1	q(1	PROPN
ejpam-6274	530	5	+	+	CCONJ
ejpam-6274	530	6	ϵ	ϵ	X
ejpam-6274	530	7	)	)	PUNCT
ejpam-6274	530	8	⩽	⩽	NOUN
ejpam-6274	530	9	1	1	NUM
ejpam-6274	530	10	,	,	PUNCT
ejpam-6274	530	11	we	we	PRON
ejpam-6274	530	12	use	use	VERB
ejpam-6274	530	13	(	(	PUNCT
ejpam-6274	530	14	3.4	3.4	NUM
ejpam-6274	530	15	)	)	PUNCT
ejpam-6274	530	16	in	in	ADP
ejpam-6274	530	17	(	(	PUNCT
ejpam-6274	530	18	3.8	3.8	NUM
ejpam-6274	530	19	)	)	PUNCT
ejpam-6274	530	20	and	and	CCONJ
ejpam-6274	530	21	have	have	VERB
ejpam-6274	530	22	h3	h3	NOUN
ejpam-6274	530	23	t	t	PROPN
ejpam-6274	530	24	≲	≲	PROPN
ejpam-6274	530	25	2−lλ	2−lλ	NUM
ejpam-6274	530	26	ϵθ	ϵθ	NUM
ejpam-6274	530	27	l∑	l∑	PUNCT
ejpam-6274	531	1	k=0	k=0	PROPN
ejpam-6274	531	2	∞∑	∞∑	NUM
ejpam-6274	531	3	i	i	PROPN
ejpam-6274	531	4	=	=	SYM
ejpam-6274	531	5	k+2	k+2	SYM
ejpam-6274	531	6	2η∞q(1+ϵ)i	2η∞q(1+ϵ)i	NUM
ejpam-6274	531	7	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	532	1			PROPN
ejpam-6274	532	2	∞∑	∞∑	ADJ
ejpam-6274	532	3	j=1	j=1	NOUN
ejpam-6274	532	4	|gj	|gj	NUM
ejpam-6274	532	5	|r	|r	NOUN
ejpam-6274	532	6			PROPN
ejpam-6274	532	7	1	1	NUM
ejpam-6274	532	8	r	r	NOUN
ejpam-6274	532	9	1i	1i	NOUN
ejpam-6274	532	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	532	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	532	12	)	)	PUNCT
ejpam-6274	532	13	p	p	X
ejpam-6274	532	14	(	(	PUNCT
ejpam-6274	532	15	·	·	PUNCT
ejpam-6274	532	16	)	)	PUNCT
ejpam-6274	532	17	2d1q(1+ϵ)(k−i	2d1q(1+ϵ)(k−i	NUM
ejpam-6274	532	18	)	)	PUNCT
ejpam-6274	533	1			NOUN
ejpam-6274	533	2	1	1	NUM
ejpam-6274	533	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	533	4	)	)	PUNCT
ejpam-6274	533	5	⩽	⩽	NOUN
ejpam-6274	534	1	2−lλ	2−lλ	NUM
ejpam-6274	534	2	ϵθ	ϵθ	NUM
ejpam-6274	534	3	l∑	l∑	PUNCT
ejpam-6274	535	1	k=0	k=0	PROPN
ejpam-6274	535	2	l+2∑	l+2∑	VERB
ejpam-6274	535	3	i	i	PROPN
ejpam-6274	535	4	=	=	SYM
ejpam-6274	535	5	k+2	k+2	SYM
ejpam-6274	535	6	2η∞q(1+ϵ)i	2η∞q(1+ϵ)i	NUM
ejpam-6274	535	7	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PUNCT
ejpam-6274	536	1			PROPN
ejpam-6274	536	2	∞∑	∞∑	ADJ
ejpam-6274	536	3	j=1	j=1	NOUN
ejpam-6274	536	4	|gj	|gj	NUM
ejpam-6274	536	5	|r	|r	NOUN
ejpam-6274	536	6			PROPN
ejpam-6274	536	7	1	1	NUM
ejpam-6274	536	8	r	r	NOUN
ejpam-6274	536	9	1i	1i	NOUN
ejpam-6274	536	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	536	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	536	12	)	)	PUNCT
ejpam-6274	536	13	p	p	X
ejpam-6274	536	14	(	(	PUNCT
ejpam-6274	536	15	·	·	PUNCT
ejpam-6274	536	16	)	)	PUNCT
ejpam-6274	536	17	2d1q(1+ϵ)(k−i	2d1q(1+ϵ)(k−i	NUM
ejpam-6274	536	18	)	)	PUNCT
ejpam-6274	537	1			NOUN
ejpam-6274	537	2	1	1	NUM
ejpam-6274	537	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	537	4	)	)	PUNCT
ejpam-6274	538	1	+	+	CCONJ
ejpam-6274	538	2	2−lλ	2−lλ	NUM
ejpam-6274	538	3	ϵθ	ϵθ	NUM
ejpam-6274	538	4	l∑	l∑	PUNCT
ejpam-6274	539	1	k=0	k=0	PROPN
ejpam-6274	540	1	∞∑	∞∑	NUM
ejpam-6274	540	2	i	i	NOUN
ejpam-6274	540	3	=	=	NOUN
ejpam-6274	540	4	l+3	l+3	NUM
ejpam-6274	540	5	2η∞q(1+ϵ)i	2η∞q(1+ϵ)i	NUM
ejpam-6274	540	6	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	541	1			PROPN
ejpam-6274	541	2	∞∑	∞∑	ADJ
ejpam-6274	541	3	j=1	j=1	NOUN
ejpam-6274	541	4	|gj	|gj	NUM
ejpam-6274	541	5	|r	|r	NOUN
ejpam-6274	541	6			PROPN
ejpam-6274	541	7	1	1	NUM
ejpam-6274	541	8	r	r	NOUN
ejpam-6274	541	9	1i	1i	NOUN
ejpam-6274	541	10	∥∥∥∥∥∥∥	∥∥∥∥∥∥∥	PROPN
ejpam-6274	541	11	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	541	12	)	)	PUNCT
ejpam-6274	541	13	p	p	X
ejpam-6274	541	14	(	(	PUNCT
ejpam-6274	541	15	·	·	PUNCT
ejpam-6274	541	16	)	)	PUNCT
ejpam-6274	541	17	2d1q(1+ϵ)(k−i	2d1q(1+ϵ)(k−i	NUM
ejpam-6274	541	18	)	)	PUNCT
ejpam-6274	542	1			NOUN
ejpam-6274	542	2	1	1	NUM
ejpam-6274	542	3	q(1+ϵ	q(1+ϵ	NOUN
ejpam-6274	542	4	)	)	PUNCT
ejpam-6274	543	1	=	=	PUNCT
ejpam-6274	543	2	:	:	PUNCT
ejpam-6274	544	1	ij	ij	INTJ
ejpam-6274	544	2	+	+	CCONJ
ejpam-6274	544	3	j6	j6	PROPN
ejpam-6274	544	4	.	.	PUNCT
ejpam-6274	545	1	similarly	similarly	ADV
ejpam-6274	545	2	we	we	PRON
ejpam-6274	545	3	can	can	AUX
ejpam-6274	545	4	get	get	VERB
ejpam-6274	545	5	h3	h3	NOUN
ejpam-6274	545	6	t	t	PROPN
ejpam-6274	545	7	≲	≲	PROPN
ejpam-6274	545	8	hf	hf	VERB
ejpam-6274	545	9	where	where	SCONJ
ejpam-6274	545	10	0	0	NUM
ejpam-6274	545	11	<	<	X
ejpam-6274	545	12	q(1	q(1	PROPN
ejpam-6274	546	1	+	+	CCONJ
ejpam-6274	546	2	ϵ	ϵ	X
ejpam-6274	546	3	)	)	PUNCT
ejpam-6274	546	4	⩽	⩽	NOUN
ejpam-6274	547	1	1	1	X
ejpam-6274	547	2	.	.	PUNCT
ejpam-6274	547	3	hence	hence	ADV
ejpam-6274	547	4	we	we	PRON
ejpam-6274	547	5	completes	complete	VERB
ejpam-6274	547	6	our	our	PRON
ejpam-6274	547	7	proof	proof	NOUN
ejpam-6274	547	8	.	.	PUNCT
ejpam-6274	548	1	now	now	ADV
ejpam-6274	548	2	we	we	PRON
ejpam-6274	548	3	turn	turn	VERB
ejpam-6274	548	4	to	to	PART
ejpam-6274	548	5	prove	prove	VERB
ejpam-6274	548	6	theorem	theorem	ADJ
ejpam-6274	548	7	2.13	2.13	NUM
ejpam-6274	548	8	.	.	PUNCT
ejpam-6274	549	1	because	because	SCONJ
ejpam-6274	549	2	the	the	DET
ejpam-6274	549	3	proofs	proof	NOUN
ejpam-6274	549	4	of	of	ADP
ejpam-6274	549	5	b	b	NOUN
ejpam-6274	549	6	-	-	PUNCT
ejpam-6274	549	7	parts	part	NOUN
ejpam-6274	549	8	and	and	CCONJ
ejpam-6274	549	9	f	f	PROPN
ejpam-6274	549	10	-parts	-part	NOUN
ejpam-6274	549	11	are	be	AUX
ejpam-6274	549	12	similar	similar	ADJ
ejpam-6274	549	13	,	,	PUNCT
ejpam-6274	549	14	we	we	PRON
ejpam-6274	549	15	only	only	ADV
ejpam-6274	549	16	prove	prove	VERB
ejpam-6274	549	17	f	f	PROPN
ejpam-6274	549	18	-parts	-part	NOUN
ejpam-6274	549	19	below	below	ADV
ejpam-6274	549	20	.	.	PUNCT
ejpam-6274	550	1	our	our	PRON
ejpam-6274	550	2	proof	proof	NOUN
ejpam-6274	550	3	will	will	AUX
ejpam-6274	550	4	use	use	VERB
ejpam-6274	550	5	the	the	DET
ejpam-6274	550	6	idea	idea	NOUN
ejpam-6274	550	7	that	that	PRON
ejpam-6274	550	8	comes	come	VERB
ejpam-6274	550	9	from	from	ADP
ejpam-6274	550	10	[	[	X
ejpam-6274	550	11	59	59	NUM
ejpam-6274	550	12	]	]	PUNCT
ejpam-6274	550	13	.	.	PUNCT
ejpam-6274	551	1	to	to	PART
ejpam-6274	551	2	continue	continue	VERB
ejpam-6274	551	3	,	,	PUNCT
ejpam-6274	551	4	we	we	PRON
ejpam-6274	551	5	recall	recall	VERB
ejpam-6274	551	6	some	some	DET
ejpam-6274	551	7	lemmas	lemma	NOUN
ejpam-6274	551	8	.	.	PUNCT
ejpam-6274	552	1	lemma	lemma	PROPN
ejpam-6274	552	2	14	14	NUM
ejpam-6274	552	3	.	.	PUNCT
ejpam-6274	553	1	[	[	X
ejpam-6274	553	2	60	60	NUM
ejpam-6274	553	3	]	]	PUNCT
ejpam-6274	553	4	let	let	VERB
ejpam-6274	553	5	µ	µ	NUM
ejpam-6274	553	6	,	,	PUNCT
ejpam-6274	553	7	ν	ν	PROPN
ejpam-6274	553	8	∈	∈	PROPN
ejpam-6274	553	9	s	s	X
ejpam-6274	553	10	(	(	PUNCT
ejpam-6274	553	11	rn	rn	NOUN
ejpam-6274	553	12	)	)	PUNCT
ejpam-6274	553	13	,	,	PUNCT
ejpam-6274	553	14	−1	−1	NOUN
ejpam-6274	553	15	⩽	⩽	ADJ
ejpam-6274	553	16	m	m	VERB
ejpam-6274	553	17	∈	∈	PROPN
ejpam-6274	553	18	z	z	PROPN
ejpam-6274	553	19	,	,	PUNCT
ejpam-6274	553	20	dτ	dτ	NOUN
ejpam-6274	553	21	µ̂(0	µ̂(0	NOUN
ejpam-6274	553	22	)	)	PUNCT
ejpam-6274	553	23	=	=	SYM
ejpam-6274	553	24	0	0	NUM
ejpam-6274	553	25	for	for	ADP
ejpam-6274	553	26	all	all	DET
ejpam-6274	553	27	|τ	|τ	ADJ
ejpam-6274	553	28	|	|	ADV
ejpam-6274	553	29	⩽	⩽	ADJ
ejpam-6274	553	30	m.	m.	NOUN
ejpam-6274	553	31	then	then	ADV
ejpam-6274	553	32	for	for	ADP
ejpam-6274	553	33	any	any	DET
ejpam-6274	553	34	n	n	NOUN
ejpam-6274	553	35	>	>	X
ejpam-6274	553	36	0	0	PUNCT
ejpam-6274	554	1	there	there	PRON
ejpam-6274	554	2	is	be	VERB
ejpam-6274	554	3	a	a	DET
ejpam-6274	554	4	constant	constant	ADJ
ejpam-6274	554	5	cn	cn	NOUN
ejpam-6274	554	6	such	such	ADJ
ejpam-6274	554	7	that	that	DET
ejpam-6274	554	8	sup	sup	NOUN
ejpam-6274	554	9	z∈rn	z∈rn	PROPN
ejpam-6274	554	10	|µt	|µt	ADP
ejpam-6274	554	11	∗	∗	NOUN
ejpam-6274	554	12	ν(z)|	ν(z)|	NOUN
ejpam-6274	554	13	(	(	PUNCT
ejpam-6274	554	14	1	1	NUM
ejpam-6274	554	15	+	+	CCONJ
ejpam-6274	554	16	|z|)n	|z|)n	SYM
ejpam-6274	554	17	⩽	⩽	PROPN
ejpam-6274	554	18	cn	cn	PROPN
ejpam-6274	554	19	tm+1	tm+1	PROPN
ejpam-6274	554	20	,	,	PUNCT
ejpam-6274	554	21	where	where	SCONJ
ejpam-6274	554	22	µt(x	µt(x	PUNCT
ejpam-6274	554	23	)	)	PUNCT
ejpam-6274	555	1	=	=	SYM
ejpam-6274	555	2	t−nµ	t−nµ	NOUN
ejpam-6274	555	3	(	(	PUNCT
ejpam-6274	555	4	x	x	SYM
ejpam-6274	555	5	t	t	NOUN
ejpam-6274	555	6	)	)	PUNCT
ejpam-6274	555	7	for	for	ADP
ejpam-6274	555	8	all	all	PRON
ejpam-6274	555	9	0	0	NUM
ejpam-6274	555	10	<	<	X
ejpam-6274	555	11	t	t	X
ejpam-6274	555	12	⩽	⩽	NOUN
ejpam-6274	555	13	2	2	X
ejpam-6274	555	14	.	.	PUNCT
ejpam-6274	555	15	m.	m.	PROPN
ejpam-6274	555	16	sultan	sultan	PROPN
ejpam-6274	555	17	,	,	PUNCT
ejpam-6274	555	18	b.	b.	PROPN
ejpam-6274	555	19	sultan	sultan	PROPN
ejpam-6274	555	20	,	,	PUNCT
ejpam-6274	555	21	i	i	PROPN
ejpam-6274	555	22	-	-	PUNCT
ejpam-6274	555	23	l.	l.	PROPN
ejpam-6274	555	24	popa	popa	PROPN
ejpam-6274	555	25	/	/	SYM
ejpam-6274	555	26	eur	eur	PROPN
ejpam-6274	555	27	.	.	PUNCT
ejpam-6274	556	1	j.	j.	PROPN
ejpam-6274	556	2	pure	pure	PROPN
ejpam-6274	556	3	appl	appl	PROPN
ejpam-6274	556	4	.	.	PROPN
ejpam-6274	556	5	math	math	PROPN
ejpam-6274	556	6	,	,	PUNCT
ejpam-6274	556	7	18	18	NUM
ejpam-6274	556	8	(	(	PUNCT
ejpam-6274	556	9	3	3	NUM
ejpam-6274	556	10	)	)	PUNCT
ejpam-6274	556	11	(	(	PUNCT
ejpam-6274	556	12	2025	2025	NUM
ejpam-6274	556	13	)	)	PUNCT
ejpam-6274	556	14	,	,	PUNCT
ejpam-6274	556	15	6274	6274	NUM
ejpam-6274	556	16	24	24	NUM
ejpam-6274	556	17	of	of	ADP
ejpam-6274	556	18	33	33	NUM
ejpam-6274	556	19	lemma	lemma	PROPN
ejpam-6274	556	20	15	15	NUM
ejpam-6274	556	21	.	.	PUNCT
ejpam-6274	557	1	[	[	X
ejpam-6274	557	2	60	60	NUM
ejpam-6274	557	3	]	]	X
ejpam-6274	557	4	if	if	SCONJ
ejpam-6274	557	5	ω	ω	PROPN
ejpam-6274	557	6	>	>	X
ejpam-6274	557	7	0	0	PUNCT
ejpam-6274	557	8	and	and	CCONJ
ejpam-6274	557	9	q	q	ADJ
ejpam-6274	557	10	∈	∈	PROPN
ejpam-6274	557	11	(	(	PUNCT
ejpam-6274	557	12	0,∞	0,∞	NOUN
ejpam-6274	557	13	]	]	PUNCT
ejpam-6274	557	14	.	.	PUNCT
ejpam-6274	558	1	then	then	ADV
ejpam-6274	558	2	for	for	ADP
ejpam-6274	558	3	a	a	DET
ejpam-6274	558	4	sequence	sequence	NOUN
ejpam-6274	558	5	{	{	PUNCT
ejpam-6274	558	6	gj}∞0	gj}∞0	NOUN
ejpam-6274	558	7	,	,	PUNCT
ejpam-6274	558	8	we	we	PRON
ejpam-6274	558	9	have	have	VERB
ejpam-6274	558	10	gj	gj	NOUN
ejpam-6274	558	11	=	=	NOUN
ejpam-6274	558	12	∞∑	∞∑	PROPN
ejpam-6274	558	13	ℓ=0	ℓ=0	NUM
ejpam-6274	558	14	2−|ℓ−j|ωgℓ.	2−|ℓ−j|ωgℓ.	NUM
ejpam-6274	558	15	then	then	ADV
ejpam-6274	558	16	∥∥{gj}∞0	∥∥{gj}∞0	PRON
ejpam-6274	558	17	∥∥	∥∥	X
ejpam-6274	558	18	ℓq	ℓq	PROPN
ejpam-6274	558	19	⩽	⩽	PROPN
ejpam-6274	558	20	c	c	PROPN
ejpam-6274	558	21	∥∥{gj}∞0	∥∥{gj}∞0	PROPN
ejpam-6274	558	22	∥∥ℓq	∥∥ℓq	PUNCT
ejpam-6274	558	23	.	.	PUNCT
ejpam-6274	559	1	(	(	PUNCT
ejpam-6274	559	2	3.9	3.9	NUM
ejpam-6274	559	3	)	)	PUNCT
ejpam-6274	559	4	lemma	lemma	PROPN
ejpam-6274	559	5	16	16	NUM
ejpam-6274	559	6	.	.	PUNCT
ejpam-6274	560	1	if	if	SCONJ
ejpam-6274	560	2	κ	κ	VERB
ejpam-6274	560	3	,	,	PUNCT
ejpam-6274	560	4	q	q	PROPN
ejpam-6274	560	5	∈	∈	PROPN
ejpam-6274	560	6	(	(	PUNCT
ejpam-6274	560	7	0,∞	0,∞	NOUN
ejpam-6274	560	8	]	]	PUNCT
ejpam-6274	560	9	,	,	PUNCT
ejpam-6274	560	10	ω	ω	X
ejpam-6274	560	11	>	>	X
ejpam-6274	560	12	0	0	NUM
ejpam-6274	560	13	,	,	PUNCT
ejpam-6274	560	14	s	s	NOUN
ejpam-6274	560	15	∈	∈	PROPN
ejpam-6274	560	16	r	r	NOUN
ejpam-6274	560	17	,	,	PUNCT
ejpam-6274	560	18	and	and	CCONJ
ejpam-6274	560	19	η	η	PROPN
ejpam-6274	560	20	,	,	PUNCT
ejpam-6274	560	21	q	q	X
ejpam-6274	560	22	,	,	PUNCT
ejpam-6274	560	23	p	p	X
ejpam-6274	560	24	,	,	PUNCT
ejpam-6274	560	25	are	be	AUX
ejpam-6274	560	26	same	same	ADJ
ejpam-6274	560	27	as	as	SCONJ
ejpam-6274	560	28	given	give	VERB
ejpam-6274	560	29	in	in	ADP
ejpam-6274	560	30	theorem	theorem	ADJ
ejpam-6274	560	31	2.8	2.8	NUM
ejpam-6274	560	32	.	.	PUNCT
ejpam-6274	561	1	for	for	ADP
ejpam-6274	561	2	a	a	DET
ejpam-6274	561	3	sequence	sequence	NOUN
ejpam-6274	561	4	{	{	PUNCT
ejpam-6274	561	5	gj}∞0	gj}∞0	NOUN
ejpam-6274	561	6	,	,	PUNCT
ejpam-6274	561	7	we	we	PRON
ejpam-6274	561	8	have	have	VERB
ejpam-6274	561	9	gj(x	gj(x	PUNCT
ejpam-6274	561	10	)	)	PUNCT
ejpam-6274	561	11	=	=	PUNCT
ejpam-6274	562	1	∞∑	∞∑	NUM
ejpam-6274	562	2	k=0	k=0	PROPN
ejpam-6274	562	3	2−|k−j|ωgk(x	2−|k−j|ωgk(x	NUM
ejpam-6274	562	4	)	)	PUNCT
ejpam-6274	562	5	,	,	PUNCT
ejpam-6274	562	6	x	x	PROPN
ejpam-6274	562	7	∈	∈	PROPN
ejpam-6274	562	8	rn	rn	PROPN
ejpam-6274	562	9	.	.	PUNCT
ejpam-6274	562	10	then	then	ADV
ejpam-6274	562	11	there	there	PRON
ejpam-6274	562	12	are	be	VERB
ejpam-6274	562	13	some	some	DET
ejpam-6274	562	14	constants	constant	NOUN
ejpam-6274	562	15	c1	c1	NOUN
ejpam-6274	562	16	=	=	SYM
ejpam-6274	562	17	c1(q	c1(q	PROPN
ejpam-6274	562	18	,	,	PUNCT
ejpam-6274	562	19	ω	ω	NOUN
ejpam-6274	562	20	)	)	PUNCT
ejpam-6274	562	21	and	and	CCONJ
ejpam-6274	562	22	c2	c2	PROPN
ejpam-6274	562	23	=	=	SYM
ejpam-6274	562	24	c2(p	c2(p	PROPN
ejpam-6274	562	25	(	(	PUNCT
ejpam-6274	562	26	·	·	PUNCT
ejpam-6274	562	27	)	)	PUNCT
ejpam-6274	562	28	,	,	PUNCT
ejpam-6274	562	29	q	q	X
ejpam-6274	562	30	,	,	PUNCT
ejpam-6274	562	31	ω	ω	NOUN
ejpam-6274	562	32	)	)	PUNCT
ejpam-6274	562	33	such	such	ADJ
ejpam-6274	562	34	that∥∥∥{gj}∞j=0	that∥∥∥{gj}∞j=0	VERB
ejpam-6274	562	35	∥∥∥	∥∥∥	PROPN
ejpam-6274	562	36	mk̇	mk̇	NUM
ejpam-6274	562	37	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	562	38	λ	λ	NOUN
ejpam-6274	562	39	,	,	PUNCT
ejpam-6274	562	40	p	p	X
ejpam-6274	562	41	(	(	PUNCT
ejpam-6274	562	42	·	·	PUNCT
ejpam-6274	562	43	)	)	PUNCT
ejpam-6274	562	44	(	(	PUNCT
ejpam-6274	562	45	ℓκ	ℓκ	PROPN
ejpam-6274	562	46	)	)	PUNCT
ejpam-6274	562	47	⩽	⩽	PROPN
ejpam-6274	562	48	c1	c1	PROPN
ejpam-6274	562	49	∥∥∥{gj}∞j=0	∥∥∥{gj}∞j=0	VERB
ejpam-6274	562	50	∥∥∥	∥∥∥	PROPN
ejpam-6274	562	51	mk̇	mk̇	NUM
ejpam-6274	562	52	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	562	53	λ	λ	NOUN
ejpam-6274	562	54	,	,	PUNCT
ejpam-6274	562	55	p	p	X
ejpam-6274	562	56	(	(	PUNCT
ejpam-6274	562	57	·	·	PUNCT
ejpam-6274	562	58	)	)	PUNCT
ejpam-6274	562	59	(	(	PUNCT
ejpam-6274	562	60	ℓκ	ℓκ	ADV
ejpam-6274	562	61	)	)	PUNCT
ejpam-6274	562	62	(	(	PUNCT
ejpam-6274	562	63	3.10	3.10	NUM
ejpam-6274	562	64	)	)	PUNCT
ejpam-6274	562	65	and	and	CCONJ
ejpam-6274	562	66	∥∥∥{gj}∞j=0	∥∥∥{gj}∞j=0	X
ejpam-6274	562	67	∥∥∥	∥∥∥	PROPN
ejpam-6274	562	68	ℓκ	ℓκ	ADP
ejpam-6274	562	69	(	(	PUNCT
ejpam-6274	562	70	mk̇	mk̇	NUM
ejpam-6274	562	71	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	562	72	λ	λ	NOUN
ejpam-6274	562	73	,	,	PUNCT
ejpam-6274	562	74	p	p	X
ejpam-6274	562	75	(	(	PUNCT
ejpam-6274	562	76	·	·	PUNCT
ejpam-6274	562	77	)	)	PUNCT
ejpam-6274	562	78	)	)	PUNCT
ejpam-6274	563	1	⩽	⩽	PROPN
ejpam-6274	563	2	c2	c2	PROPN
ejpam-6274	563	3	∥∥∥{gj}∞j=0	∥∥∥{gj}∞j=0	ADJ
ejpam-6274	563	4	∥∥∥	∥∥∥	PROPN
ejpam-6274	563	5	ℓκ	ℓκ	ADP
ejpam-6274	563	6	(	(	PUNCT
ejpam-6274	563	7	mk̇	mk̇	NUM
ejpam-6274	563	8	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	563	9	λ	λ	NOUN
ejpam-6274	563	10	,	,	PUNCT
ejpam-6274	563	11	p	p	X
ejpam-6274	563	12	(	(	PUNCT
ejpam-6274	563	13	·	·	PUNCT
ejpam-6274	563	14	)	)	PUNCT
ejpam-6274	563	15	)	)	PUNCT
ejpam-6274	563	16	.	.	PUNCT
ejpam-6274	564	1	(	(	PUNCT
ejpam-6274	564	2	3.11	3.11	NUM
ejpam-6274	564	3	)	)	PUNCT
ejpam-6274	564	4	proof	proof	NOUN
ejpam-6274	564	5	.	.	PUNCT
ejpam-6274	565	1	firstly	firstly	ADV
ejpam-6274	565	2	,	,	PUNCT
ejpam-6274	565	3	(	(	PUNCT
ejpam-6274	565	4	3.10	3.10	NUM
ejpam-6274	565	5	)	)	PUNCT
ejpam-6274	565	6	follows	follow	VERB
ejpam-6274	565	7	immediately	immediately	ADV
ejpam-6274	565	8	from	from	ADP
ejpam-6274	565	9	lemma	lemma	PROPN
ejpam-6274	565	10	3.3	3.3	NUM
ejpam-6274	565	11	.	.	PUNCT
ejpam-6274	566	1	next	next	ADV
ejpam-6274	566	2	we	we	PRON
ejpam-6274	566	3	prove	prove	VERB
ejpam-6274	566	4	(	(	PUNCT
ejpam-6274	566	5	3.11	3.11	NUM
ejpam-6274	566	6	)	)	PUNCT
ejpam-6274	566	7	for	for	ADP
ejpam-6274	566	8	p	p	X
ejpam-6274	566	9	(	(	PUNCT
ejpam-6274	566	10	·	·	PUNCT
ejpam-6274	566	11	)	)	PUNCT
ejpam-6274	566	12	∈	∈	PROPN
ejpam-6274	566	13	p0	p0	NOUN
ejpam-6274	566	14	(	(	PUNCT
ejpam-6274	566	15	rn	rn	NOUN
ejpam-6274	566	16	)	)	PUNCT
ejpam-6274	566	17	and	and	CCONJ
ejpam-6274	566	18	we	we	PRON
ejpam-6274	566	19	separate	separate	VERB
ejpam-6274	566	20	it	it	PRON
ejpam-6274	566	21	into	into	ADP
ejpam-6274	566	22	two	two	NUM
ejpam-6274	566	23	cases	case	NOUN
ejpam-6274	566	24	.	.	PUNCT
ejpam-6274	567	1	case	case	NOUN
ejpam-6274	567	2	1	1	NUM
ejpam-6274	567	3	.	.	PUNCT
ejpam-6274	568	1	p−	p−	INTJ
ejpam-6274	568	2	⩾	⩾	NOUN
ejpam-6274	568	3	1	1	NUM
ejpam-6274	568	4	,	,	PUNCT
ejpam-6274	568	5	q	q	NOUN
ejpam-6274	568	6	⩾	⩾	NOUN
ejpam-6274	568	7	1	1	NUM
ejpam-6274	568	8	.	.	PUNCT
ejpam-6274	569	1	because	because	SCONJ
ejpam-6274	569	2	∥	∥	X
ejpam-6274	569	3	·	·	PUNCT
ejpam-6274	569	4	∥	∥	PUNCT
ejpam-6274	569	5	mk̇	mk̇	NUM
ejpam-6274	569	6	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	569	7	λ	λ	NOUN
ejpam-6274	569	8	,	,	PUNCT
ejpam-6274	569	9	p	p	X
ejpam-6274	569	10	(	(	PUNCT
ejpam-6274	569	11	·	·	PUNCT
ejpam-6274	569	12	)	)	PUNCT
ejpam-6274	569	13	is	be	AUX
ejpam-6274	569	14	a	a	DET
ejpam-6274	569	15	norm	norm	NOUN
ejpam-6274	569	16	,	,	PUNCT
ejpam-6274	569	17	we	we	PRON
ejpam-6274	569	18	have	have	VERB
ejpam-6274	569	19	∥gj∥mk̇	∥gj∥mk̇	ADJ
ejpam-6274	569	20	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	569	21	λ	λ	NOUN
ejpam-6274	569	22	,	,	PUNCT
ejpam-6274	569	23	p	p	X
ejpam-6274	569	24	(	(	PUNCT
ejpam-6274	569	25	·	·	PUNCT
ejpam-6274	569	26	)	)	PUNCT
ejpam-6274	569	27	⩽	⩽	NOUN
ejpam-6274	570	1	∞∑	∞∑	PRON
ejpam-6274	570	2	k=0	k=0	PROPN
ejpam-6274	570	3	2−|k−j|ω	2−|k−j|ω	NUM
ejpam-6274	570	4	∥gk∥mk̇	∥gk∥mk̇	NOUN
ejpam-6274	570	5	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	570	6	λ	λ	NOUN
ejpam-6274	570	7	,	,	PUNCT
ejpam-6274	570	8	p	p	X
ejpam-6274	570	9	(	(	PUNCT
ejpam-6274	570	10	·	·	PUNCT
ejpam-6274	570	11	)	)	PUNCT
ejpam-6274	570	12	.	.	PUNCT
ejpam-6274	571	1	using	use	VERB
ejpam-6274	571	2	lemma	lemma	PROPN
ejpam-6274	571	3	3.4	3.4	NUM
ejpam-6274	571	4	,	,	PUNCT
ejpam-6274	571	5	we	we	PRON
ejpam-6274	571	6	get	get	VERB
ejpam-6274	571	7	(	(	PUNCT
ejpam-6274	571	8	3.11	3.11	NUM
ejpam-6274	571	9	)	)	PUNCT
ejpam-6274	571	10	.	.	PUNCT
ejpam-6274	572	1	case	case	NOUN
ejpam-6274	572	2	2	2	X
ejpam-6274	572	3	.	.	PUNCT
ejpam-6274	573	1	if	if	SCONJ
ejpam-6274	573	2	q	q	X
ejpam-6274	573	3	<	<	X
ejpam-6274	573	4	1	1	NUM
ejpam-6274	573	5	,	,	PUNCT
ejpam-6274	573	6	let	let	VERB
ejpam-6274	573	7	p0	p0	NOUN
ejpam-6274	573	8	<	<	X
ejpam-6274	573	9	min	min	X
ejpam-6274	573	10	(	(	PUNCT
ejpam-6274	573	11	p−	p−	PROPN
ejpam-6274	573	12	,	,	PUNCT
ejpam-6274	573	13	q	q	NOUN
ejpam-6274	573	14	)	)	PUNCT
ejpam-6274	573	15	then	then	ADV
ejpam-6274	573	16	we	we	PRON
ejpam-6274	573	17	get	get	VERB
ejpam-6274	573	18	∥gj∥p0	∥gj∥p0	NOUN
ejpam-6274	573	19	mk̇	mk̇	NOUN
ejpam-6274	573	20	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	573	21	λ	λ	NOUN
ejpam-6274	573	22	,	,	PUNCT
ejpam-6274	573	23	p	p	X
ejpam-6274	573	24	(	(	PUNCT
ejpam-6274	573	25	·	·	PUNCT
ejpam-6274	573	26	)	)	PUNCT
ejpam-6274	573	27	=	=	SYM
ejpam-6274	574	1	∥|gj	∥|gj	PROPN
ejpam-6274	574	2	|p0∥mk̇	|p0∥mk̇	PROPN
ejpam-6274	574	3	p0η	p0η	PROPN
ejpam-6274	574	4	(	(	PUNCT
ejpam-6274	574	5	·	·	PUNCT
ejpam-6274	574	6	)	)	PUNCT
ejpam-6274	574	7	,	,	PUNCT
ejpam-6274	574	8	q	q	X
ejpam-6274	574	9	/	/	SYM
ejpam-6274	574	10	p0),p0θ	p0),p0θ	PROPN
ejpam-6274	574	11	p0λ	p0λ	PROPN
ejpam-6274	574	12	,	,	PUNCT
ejpam-6274	574	13	p(·)/p0	p(·)/p0	PROPN
ejpam-6274	574	14	⩽	⩽	NOUN
ejpam-6274	574	15	∥∥∥∥∥	∥∥∥∥∥	VERB
ejpam-6274	574	16	∞∑	∞∑	NUM
ejpam-6274	574	17	k=0	k=0	PROPN
ejpam-6274	574	18	2−|k−j|p0ω	2−|k−j|p0ω	NUM
ejpam-6274	574	19	|gk|p0	|gk|p0	PUNCT
ejpam-6274	574	20	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	575	1	mk̇	mk̇	AUX
ejpam-6274	575	2	p0η	p0η	ADJ
ejpam-6274	575	3	(	(	PUNCT
ejpam-6274	575	4	·	·	PUNCT
ejpam-6274	575	5	)	)	PUNCT
ejpam-6274	575	6	,	,	PUNCT
ejpam-6274	575	7	q	q	X
ejpam-6274	575	8	/	/	SYM
ejpam-6274	575	9	p0),p0θ	p0),p0θ	PROPN
ejpam-6274	575	10	p0λ	p0λ	PROPN
ejpam-6274	575	11	,	,	PUNCT
ejpam-6274	575	12	p(·)/p0	p(·)/p0	PROPN
ejpam-6274	575	13	⩽	⩽	NOUN
ejpam-6274	575	14	∞∑	∞∑	PRON
ejpam-6274	575	15	k=0	k=0	PROPN
ejpam-6274	575	16	2−|k−j|p0ω	2−|k−j|p0ω	NUM
ejpam-6274	575	17	∥|gk|p0∥mk̇	∥|gk|p0∥mk̇	ADJ
ejpam-6274	575	18	p0η	p0η	ADJ
ejpam-6274	575	19	(	(	PUNCT
ejpam-6274	575	20	·	·	PUNCT
ejpam-6274	575	21	)	)	PUNCT
ejpam-6274	575	22	,	,	PUNCT
ejpam-6274	575	23	q	q	X
ejpam-6274	575	24	/	/	SYM
ejpam-6274	575	25	p0),p0θ	p0),p0θ	PROPN
ejpam-6274	575	26	p0λ	p0λ	PROPN
ejpam-6274	575	27	,	,	PUNCT
ejpam-6274	575	28	p(·)/p0	p(·)/p0	PROPN
ejpam-6274	575	29	.	.	PUNCT
ejpam-6274	576	1	consequently	consequently	ADV
ejpam-6274	576	2	we	we	PRON
ejpam-6274	576	3	get	get	VERB
ejpam-6274	576	4	m.	m.	NOUN
ejpam-6274	576	5	sultan	sultan	PROPN
ejpam-6274	576	6	,	,	PUNCT
ejpam-6274	576	7	b.	b.	PROPN
ejpam-6274	576	8	sultan	sultan	PROPN
ejpam-6274	576	9	,	,	PUNCT
ejpam-6274	576	10	i	i	PROPN
ejpam-6274	576	11	-	-	PUNCT
ejpam-6274	576	12	l.	l.	PROPN
ejpam-6274	576	13	popa	popa	PROPN
ejpam-6274	576	14	/	/	SYM
ejpam-6274	576	15	eur	eur	PROPN
ejpam-6274	576	16	.	.	PUNCT
ejpam-6274	577	1	j.	j.	PROPN
ejpam-6274	577	2	pure	pure	PROPN
ejpam-6274	577	3	appl	appl	PROPN
ejpam-6274	577	4	.	.	PROPN
ejpam-6274	577	5	math	math	PROPN
ejpam-6274	577	6	,	,	PUNCT
ejpam-6274	577	7	18	18	NUM
ejpam-6274	577	8	(	(	PUNCT
ejpam-6274	577	9	3	3	NUM
ejpam-6274	577	10	)	)	PUNCT
ejpam-6274	577	11	(	(	PUNCT
ejpam-6274	577	12	2025	2025	NUM
ejpam-6274	577	13	)	)	PUNCT
ejpam-6274	577	14	,	,	PUNCT
ejpam-6274	577	15	6274	6274	NUM
ejpam-6274	577	16	25	25	NUM
ejpam-6274	577	17	of	of	ADP
ejpam-6274	577	18	33	33	NUM
ejpam-6274	577	19	∥{gj}∥p0	∥{gj}∥p0	PROPN
ejpam-6274	577	20	ℓκ	ℓκ	ADP
ejpam-6274	577	21	(	(	PUNCT
ejpam-6274	577	22	mk̇	mk̇	NOUN
ejpam-6274	577	23	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	577	24	λ	λ	NOUN
ejpam-6274	577	25	,	,	PUNCT
ejpam-6274	577	26	p	p	X
ejpam-6274	577	27	(	(	PUNCT
ejpam-6274	577	28	·	·	PUNCT
ejpam-6274	577	29	)	)	PUNCT
ejpam-6274	577	30	)	)	PUNCT
ejpam-6274	578	1	=	=	PUNCT
ejpam-6274	578	2	∥{|gj	∥{|gj	ADJ
ejpam-6274	578	3	|p0}∥ℓκ	|p0}∥ℓκ	NOUN
ejpam-6274	578	4	/	/	SYM
ejpam-6274	578	5	p0	p0	NOUN
ejpam-6274	578	6	(	(	PUNCT
ejpam-6274	578	7	mk̇	mk̇	NOUN
ejpam-6274	578	8	p0η	p0η	ADJ
ejpam-6274	578	9	(	(	PUNCT
ejpam-6274	578	10	·	·	PUNCT
ejpam-6274	578	11	)	)	PUNCT
ejpam-6274	578	12	,	,	PUNCT
ejpam-6274	578	13	q	q	X
ejpam-6274	578	14	/	/	SYM
ejpam-6274	578	15	p0),p0θ	p0),p0θ	PROPN
ejpam-6274	578	16	p0λ	p0λ	PROPN
ejpam-6274	578	17	,	,	PUNCT
ejpam-6274	578	18	p(·)/p0	p(·)/p0	PROPN
ejpam-6274	578	19	)	)	PUNCT
ejpam-6274	578	20	≲	≲	PROPN
ejpam-6274	578	21	∥{|gk|p0}∥ℓκ	∥{|gk|p0}∥ℓκ	NOUN
ejpam-6274	578	22	/	/	SYM
ejpam-6274	578	23	p0	p0	NOUN
ejpam-6274	578	24	(	(	PUNCT
ejpam-6274	578	25	mk̇	mk̇	NOUN
ejpam-6274	578	26	p0η	p0η	ADJ
ejpam-6274	578	27	(	(	PUNCT
ejpam-6274	578	28	·	·	PUNCT
ejpam-6274	578	29	)	)	PUNCT
ejpam-6274	578	30	,	,	PUNCT
ejpam-6274	578	31	q	q	X
ejpam-6274	578	32	/	/	SYM
ejpam-6274	578	33	p0),p0θ	p0),p0θ	PROPN
ejpam-6274	578	34	p0λ	p0λ	PROPN
ejpam-6274	578	35	,	,	PUNCT
ejpam-6274	578	36	p(·)/p0	p(·)/p0	PROPN
ejpam-6274	578	37	)	)	PUNCT
ejpam-6274	579	1	=	=	PUNCT
ejpam-6274	579	2	∥{gk}∥p0	∥{gk}∥p0	NOUN
ejpam-6274	579	3	ℓκ	ℓκ	ADP
ejpam-6274	579	4	(	(	PUNCT
ejpam-6274	579	5	mk̇	mk̇	NUM
ejpam-6274	579	6	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	579	7	λ	λ	NOUN
ejpam-6274	579	8	,	,	PUNCT
ejpam-6274	579	9	p	p	X
ejpam-6274	579	10	(	(	PUNCT
ejpam-6274	579	11	·	·	PUNCT
ejpam-6274	579	12	)	)	PUNCT
ejpam-6274	579	13	)	)	PUNCT
ejpam-6274	579	14	.	.	PUNCT
ejpam-6274	580	1	by	by	ADP
ejpam-6274	580	2	using	use	VERB
ejpam-6274	580	3	the	the	DET
ejpam-6274	580	4	power	power	NOUN
ejpam-6274	580	5	1	1	NUM
ejpam-6274	580	6	/	/	SYM
ejpam-6274	580	7	p0	p0	NOUN
ejpam-6274	580	8	,	,	PUNCT
ejpam-6274	580	9	we	we	PRON
ejpam-6274	580	10	get	get	VERB
ejpam-6274	580	11	(	(	PUNCT
ejpam-6274	580	12	3.11	3.11	NUM
ejpam-6274	580	13	)	)	PUNCT
ejpam-6274	580	14	.	.	PUNCT
ejpam-6274	581	1	lemma	lemma	PROPN
ejpam-6274	581	2	17	17	NUM
ejpam-6274	581	3	(	(	PUNCT
ejpam-6274	581	4	[	[	X
ejpam-6274	581	5	61	61	NUM
ejpam-6274	581	6	]	]	PUNCT
ejpam-6274	581	7	,	,	PUNCT
ejpam-6274	581	8	theorem	theorem	VERB
ejpam-6274	581	9	6	6	NUM
ejpam-6274	581	10	)	)	PUNCT
ejpam-6274	581	11	.	.	PUNCT
ejpam-6274	582	1	let	let	VERB
ejpam-6274	582	2	{	{	PUNCT
ejpam-6274	582	3	φj}j∈n0	φj}j∈n0	PROPN
ejpam-6274	582	4	is	be	AUX
ejpam-6274	582	5	the	the	DET
ejpam-6274	582	6	resolution	resolution	NOUN
ejpam-6274	582	7	of	of	ADP
ejpam-6274	582	8	unity	unity	NOUN
ejpam-6274	582	9	,	,	PUNCT
ejpam-6274	582	10	r	r	NOUN
ejpam-6274	582	11	∈	∈	PROPN
ejpam-6274	582	12	n.	n.	NOUN
ejpam-6274	582	13	then	then	ADV
ejpam-6274	582	14	there	there	PRON
ejpam-6274	582	15	exists	exist	VERB
ejpam-6274	582	16	functions	function	NOUN
ejpam-6274	582	17	θ0	θ0	NOUN
ejpam-6274	582	18	,	,	PUNCT
ejpam-6274	582	19	θ	θ	PROPN
ejpam-6274	582	20	∈	∈	PROPN
ejpam-6274	582	21	s	s	X
ejpam-6274	582	22	(	(	PUNCT
ejpam-6274	582	23	rn	rn	NOUN
ejpam-6274	582	24	)	)	PUNCT
ejpam-6274	582	25	which	which	PRON
ejpam-6274	582	26	satisfy	satisfy	VERB
ejpam-6274	582	27	supp	supp	PROPN
ejpam-6274	582	28	θ	θ	PROPN
ejpam-6274	582	29	,	,	PUNCT
ejpam-6274	582	30	supp	supp	PROPN
ejpam-6274	582	31	θ0	θ0	PROPN
ejpam-6274	582	32	⊆	⊆	PRON
ejpam-6274	582	33	{	{	PUNCT
ejpam-6274	582	34	y	y	PROPN
ejpam-6274	582	35	∈	∈	PROPN
ejpam-6274	582	36	rn	rn	PROPN
ejpam-6274	582	37	:	:	PUNCT
ejpam-6274	583	1	|y|	|y|	ADJ
ejpam-6274	583	2	⩽	⩽	NOUN
ejpam-6274	583	3	1	1	NUM
ejpam-6274	583	4	}	}	PUNCT
ejpam-6274	583	5	,	,	PUNCT
ejpam-6274	583	6	∣∣∣θ̂0(ϱ)∣∣∣	∣∣∣θ̂0(ϱ)∣∣∣	ADJ
ejpam-6274	583	7	>	>	X
ejpam-6274	583	8	0	0	NUM
ejpam-6274	583	9	on	on	ADP
ejpam-6274	583	10	{	{	PUNCT
ejpam-6274	583	11	|ϱ|	|ϱ|	PROPN
ejpam-6274	583	12	<	<	X
ejpam-6274	583	13	2ε	2ε	PROPN
ejpam-6274	583	14	}	}	PUNCT
ejpam-6274	583	15	,	,	PUNCT
ejpam-6274	583	16	|θ̂(ϱ)|	|θ̂(ϱ)|	ADV
ejpam-6274	583	17	>	>	X
ejpam-6274	583	18	0	0	PUNCT
ejpam-6274	583	19	on	on	ADP
ejpam-6274	583	20	{	{	PUNCT
ejpam-6274	583	21	ε	ε	PROPN
ejpam-6274	583	22	2	2	NUM
ejpam-6274	583	23	<	<	X
ejpam-6274	583	24	|ϱ|	|ϱ|	PROPN
ejpam-6274	583	25	<	<	X
ejpam-6274	583	26	2ε	2ε	PROPN
ejpam-6274	583	27	}	}	PUNCT
ejpam-6274	583	28	,	,	PUNCT
ejpam-6274	583	29	∫	∫	PROPN
ejpam-6274	583	30	rn	rn	PROPN
ejpam-6274	583	31	yγθ(x)dy	yγθ(x)dy	PROPN
ejpam-6274	583	32	=	=	SYM
ejpam-6274	583	33	0	0	NUM
ejpam-6274	583	34	,	,	PUNCT
ejpam-6274	583	35	∀γ	∀γ	ADJ
ejpam-6274	583	36	,	,	PUNCT
ejpam-6274	583	37	0	0	PUNCT
ejpam-6274	583	38	<	<	X
ejpam-6274	583	39	|γ|	|γ|	PROPN
ejpam-6274	583	40	⩽	⩽	NOUN
ejpam-6274	583	41	r	r	NOUN
ejpam-6274	583	42	,	,	PUNCT
ejpam-6274	583	43	such	such	ADJ
ejpam-6274	583	44	that	that	SCONJ
ejpam-6274	583	45	θ̂0(ϱ)ψ̂0(ϱ	θ̂0(ϱ)ψ̂0(ϱ	NOUN
ejpam-6274	583	46	)	)	PUNCT
ejpam-6274	583	47	+	+	CCONJ
ejpam-6274	583	48	∞∑	∞∑	NUM
ejpam-6274	583	49	j=1	j=1	NOUN
ejpam-6274	583	50	θ̂	θ̂	NUM
ejpam-6274	583	51	(	(	PUNCT
ejpam-6274	583	52	p−jϱ	p−jϱ	PROPN
ejpam-6274	583	53	)	)	PUNCT
ejpam-6274	583	54	ψ̂	ψ̂	PUNCT
ejpam-6274	583	55	(	(	PUNCT
ejpam-6274	583	56	p−jϱ	p−jϱ	NOUN
ejpam-6274	583	57	)	)	PUNCT
ejpam-6274	583	58	=	=	SYM
ejpam-6274	583	59	1	1	NUM
ejpam-6274	583	60	,	,	PUNCT
ejpam-6274	583	61	∀ϱ	∀ϱ	PROPN
ejpam-6274	583	62	∈	∈	PROPN
ejpam-6274	583	63	rn	rn	PROPN
ejpam-6274	583	64	,	,	PUNCT
ejpam-6274	583	65	and	and	CCONJ
ejpam-6274	583	66	ψ0	ψ0	ADV
ejpam-6274	583	67	,	,	PUNCT
ejpam-6274	583	68	ψ	ψ	ADP
ejpam-6274	583	69	∈	∈	PROPN
ejpam-6274	583	70	s	s	X
ejpam-6274	583	71	(	(	PUNCT
ejpam-6274	583	72	rn	rn	NOUN
ejpam-6274	583	73	)	)	PUNCT
ejpam-6274	583	74	are	be	AUX
ejpam-6274	583	75	given	give	VERB
ejpam-6274	583	76	as	as	ADP
ejpam-6274	583	77	ψ̂0(ϱ	ψ̂0(ϱ	NOUN
ejpam-6274	583	78	)	)	PUNCT
ejpam-6274	583	79	=	=	SYM
ejpam-6274	583	80	φ0(ϱ	φ0(ϱ	PROPN
ejpam-6274	583	81	)	)	PUNCT
ejpam-6274	583	82	θ̂0(ϱ	θ̂0(ϱ	NOUN
ejpam-6274	583	83	)	)	PUNCT
ejpam-6274	583	84	,	,	PUNCT
ejpam-6274	583	85	ψ̂(ϱ	ψ̂(ϱ	NOUN
ejpam-6274	583	86	)	)	PUNCT
ejpam-6274	583	87	=	=	SYM
ejpam-6274	583	88	φ1(2ϱ	φ1(2ϱ	NOUN
ejpam-6274	583	89	)	)	PUNCT
ejpam-6274	583	90	θ̂(ϱ	θ̂(ϱ	VERB
ejpam-6274	583	91	)	)	PUNCT
ejpam-6274	583	92	.	.	PUNCT
ejpam-6274	584	1	proof	proof	NOUN
ejpam-6274	584	2	.	.	PUNCT
ejpam-6274	585	1	now	now	ADV
ejpam-6274	585	2	we	we	PRON
ejpam-6274	585	3	will	will	AUX
ejpam-6274	585	4	give	give	VERB
ejpam-6274	585	5	the	the	DET
ejpam-6274	585	6	proof	proof	NOUN
ejpam-6274	585	7	of	of	ADP
ejpam-6274	585	8	theorem	theorem	NOUN
ejpam-6274	585	9	2.13	2.13	NUM
ejpam-6274	585	10	.	.	PUNCT
ejpam-6274	586	1	step	step	NOUN
ejpam-6274	586	2	1	1	NUM
ejpam-6274	586	3	.	.	PUNCT
ejpam-6274	587	1	let	let	VERB
ejpam-6274	587	2	g	g	PROPN
ejpam-6274	587	3	∈	∈	PROPN
ejpam-6274	587	4	s	s	PART
ejpam-6274	587	5	′	′	NUM
ejpam-6274	587	6	(	(	PUNCT
ejpam-6274	587	7	rn	rn	NOUN
ejpam-6274	587	8	)	)	PUNCT
ejpam-6274	587	9	,	,	PUNCT
ejpam-6274	587	10	then	then	ADV
ejpam-6274	587	11	∥g∥(2	∥g∥(2	PROPN
ejpam-6274	587	12	)	)	PUNCT
ejpam-6274	587	13	mk̇	mk̇	NOUN
ejpam-6274	588	1	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	588	2	λ	λ	NOUN
ejpam-6274	588	3	,	,	PUNCT
ejpam-6274	588	4	p	p	X
ejpam-6274	588	5	(	(	PUNCT
ejpam-6274	588	6	·	·	PUNCT
ejpam-6274	588	7	)	)	PUNCT
ejpam-6274	588	8	f	f	PROPN
ejpam-6274	588	9	s	s	AUX
ejpam-6274	588	10	κ	κ	ADP
ejpam-6274	588	11	≲	≲	PROPN
ejpam-6274	588	12	∥g∥(1	∥g∥(1	PROPN
ejpam-6274	588	13	)	)	PUNCT
ejpam-6274	588	14	mk̇	mk̇	NOUN
ejpam-6274	588	15	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	588	16	λ	λ	NOUN
ejpam-6274	588	17	,	,	PUNCT
ejpam-6274	588	18	p	p	X
ejpam-6274	588	19	(	(	PUNCT
ejpam-6274	588	20	·	·	PUNCT
ejpam-6274	588	21	)	)	PUNCT
ejpam-6274	589	1	f	f	PROPN
ejpam-6274	589	2	s	s	NOUN
ejpam-6274	589	3	κ	κ	ADP
ejpam-6274	589	4	≲	≲	PROPN
ejpam-6274	589	5	∥g∥(2	∥g∥(2	PROPN
ejpam-6274	589	6	)	)	PUNCT
ejpam-6274	589	7	mk̇	mk̇	NOUN
ejpam-6274	589	8	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	589	9	λ	λ	NOUN
ejpam-6274	589	10	,	,	PUNCT
ejpam-6274	589	11	p	p	X
ejpam-6274	589	12	(	(	PUNCT
ejpam-6274	589	13	·	·	PUNCT
ejpam-6274	589	14	)	)	PUNCT
ejpam-6274	590	1	f	f	PROPN
ejpam-6274	590	2	s	s	NOUN
ejpam-6274	590	3	κ	κ	NOUN
ejpam-6274	590	4	.	.	PUNCT
ejpam-6274	591	1	using	use	VERB
ejpam-6274	591	2	lemmas	lemmas	PROPN
ejpam-6274	591	3	3.2	3.2	NUM
ejpam-6274	591	4	and	and	CCONJ
ejpam-6274	591	5	3.5	3.5	NUM
ejpam-6274	591	6	,	,	PUNCT
ejpam-6274	591	7	and	and	CCONJ
ejpam-6274	591	8	the	the	DET
ejpam-6274	591	9	fact	fact	NOUN
ejpam-6274	591	10	r	r	NOUN
ejpam-6274	591	11	<	<	X
ejpam-6274	591	12	min	min	NOUN
ejpam-6274	591	13	{	{	PUNCT
ejpam-6274	591	14	p−	p−	NOUN
ejpam-6274	591	15	,	,	PUNCT
ejpam-6274	591	16	κ	κ	NOUN
ejpam-6274	591	17	}	}	PUNCT
ejpam-6274	591	18	for	for	ADP
ejpam-6274	591	19	n	n	DET
ejpam-6274	591	20	∈	∈	PROPN
ejpam-6274	591	21	n.	n.	NOUN
ejpam-6274	591	22	then	then	ADV
ejpam-6274	591	23	for	for	ADP
ejpam-6274	591	24	g	g	PROPN
ejpam-6274	591	25	∈	∈	PROPN
ejpam-6274	591	26	s	s	PART
ejpam-6274	591	27	(	(	PUNCT
ejpam-6274	591	28	rn	rn	NOUN
ejpam-6274	591	29	)	)	PUNCT
ejpam-6274	591	30	,	,	PUNCT
ejpam-6274	591	31	then	then	ADV
ejpam-6274	591	32	(	(	PUNCT
ejpam-6274	591	33	∫	∫	PROPN
ejpam-6274	591	34	2	2	NUM
ejpam-6274	591	35	1	1	NUM
ejpam-6274	591	36	∣∣∣2ls	∣∣∣2ls	NUM
ejpam-6274	591	37	(	(	PUNCT
ejpam-6274	591	38	φ∗	φ∗	NOUN
ejpam-6274	591	39	2−ltg	2−ltg	NOUN
ejpam-6274	591	40	)	)	PUNCT
ejpam-6274	591	41	a	a	DET
ejpam-6274	591	42	(	(	PUNCT
ejpam-6274	591	43	x	x	NOUN
ejpam-6274	591	44	)	)	PUNCT
ejpam-6274	591	45	∣∣∣κ	∣∣∣κ	PROPN
ejpam-6274	591	46	dt	dt	X
ejpam-6274	591	47	t	t	NOUN
ejpam-6274	591	48	)	)	PUNCT
ejpam-6274	591	49	r	r	X
ejpam-6274	591	50	/	/	SYM
ejpam-6274	591	51	κ	κ	NOUN
ejpam-6274	591	52	≲	≲	PROPN
ejpam-6274	591	53	∑	∑	PUNCT
ejpam-6274	591	54	k∈l+n0	k∈l+n0	ADJ
ejpam-6274	591	55	2(l−k)(nr−n+rs)2krs	2(l−k)(nr−n+rs)2krs	NUM
ejpam-6274	591	56	×m	×m	NOUN
ejpam-6274	591	57	[	[	X
ejpam-6274	591	58	(	(	PUNCT
ejpam-6274	591	59	∫	∫	PROPN
ejpam-6274	591	60	2	2	NUM
ejpam-6274	591	61	1	1	NUM
ejpam-6274	591	62	|((φk)t	|((φk)t	X
ejpam-6274	591	63	∗	∗	NOUN
ejpam-6274	591	64	g	g	NOUN
ejpam-6274	591	65	)	)	PUNCT
ejpam-6274	591	66	(	(	PUNCT
ejpam-6274	591	67	·	·	PUNCT
ejpam-6274	591	68	)	)	PUNCT
ejpam-6274	592	1	|	|	ADV
ejpam-6274	592	2	κdt	κdt	VERB
ejpam-6274	592	3	t	t	NOUN
ejpam-6274	592	4	)	)	PUNCT
ejpam-6274	592	5	r	r	X
ejpam-6274	592	6	/	/	SYM
ejpam-6274	592	7	κ	κ	NOUN
ejpam-6274	592	8	]	]	PUNCT
ejpam-6274	592	9	(	(	PUNCT
ejpam-6274	592	10	x	x	NOUN
ejpam-6274	592	11	)	)	PUNCT
ejpam-6274	592	12	.	.	PUNCT
ejpam-6274	593	1	m.	m.	PROPN
ejpam-6274	593	2	sultan	sultan	PROPN
ejpam-6274	593	3	,	,	PUNCT
ejpam-6274	593	4	b.	b.	PROPN
ejpam-6274	593	5	sultan	sultan	PROPN
ejpam-6274	593	6	,	,	PUNCT
ejpam-6274	593	7	i	i	PROPN
ejpam-6274	593	8	-	-	PUNCT
ejpam-6274	593	9	l.	l.	PROPN
ejpam-6274	593	10	popa	popa	PROPN
ejpam-6274	593	11	/	/	SYM
ejpam-6274	593	12	eur	eur	PROPN
ejpam-6274	593	13	.	.	PUNCT
ejpam-6274	594	1	j.	j.	PROPN
ejpam-6274	594	2	pure	pure	PROPN
ejpam-6274	594	3	appl	appl	PROPN
ejpam-6274	594	4	.	.	PROPN
ejpam-6274	594	5	math	math	PROPN
ejpam-6274	594	6	,	,	PUNCT
ejpam-6274	594	7	18	18	NUM
ejpam-6274	594	8	(	(	PUNCT
ejpam-6274	594	9	3	3	NUM
ejpam-6274	594	10	)	)	PUNCT
ejpam-6274	594	11	(	(	PUNCT
ejpam-6274	594	12	2025	2025	NUM
ejpam-6274	594	13	)	)	PUNCT
ejpam-6274	594	14	,	,	PUNCT
ejpam-6274	594	15	6274	6274	NUM
ejpam-6274	594	16	26	26	NUM
ejpam-6274	594	17	of	of	ADP
ejpam-6274	594	18	33	33	NUM
ejpam-6274	594	19	if	if	SCONJ
ejpam-6274	594	20	l	l	PROPN
ejpam-6274	594	21	∈	∈	PROPN
ejpam-6274	594	22	n	n	CCONJ
ejpam-6274	594	23	,	,	PUNCT
ejpam-6274	594	24	p0	p0	NOUN
ejpam-6274	594	25	=	=	PUNCT
ejpam-6274	594	26	r	r	NOUN
ejpam-6274	594	27	∈	∈	PROPN
ejpam-6274	594	28	(	(	PUNCT
ejpam-6274	594	29	n	n	CCONJ
ejpam-6274	594	30	/	/	SYM
ejpam-6274	594	31	a	a	NOUN
ejpam-6274	594	32	,	,	PUNCT
ejpam-6274	594	33	<	<	X
ejpam-6274	594	34	min	min	NOUN
ejpam-6274	594	35	{	{	PUNCT
ejpam-6274	594	36	p−	p−	NOUN
ejpam-6274	594	37	,	,	PUNCT
ejpam-6274	594	38	κ	κ	NOUN
ejpam-6274	594	39	}	}	PUNCT
ejpam-6274	594	40	)	)	PUNCT
ejpam-6274	594	41	,	,	PUNCT
ejpam-6274	594	42	n	n	CCONJ
ejpam-6274	594	43	>	>	X
ejpam-6274	594	44	max{0,−s}+a	max{0,−s}+a	PUNCT
ejpam-6274	594	45	and	and	CCONJ
ejpam-6274	594	46	ω	ω	NUM
ejpam-6274	594	47	:	:	PUNCT
ejpam-6274	594	48	=	=	SYM
ejpam-6274	594	49	n+s−d	n+s−d	PROPN
ejpam-6274	594	50	/	/	SYM
ejpam-6274	594	51	r	r	NOUN
ejpam-6274	594	52	>	>	X
ejpam-6274	594	53	0	0	NUM
ejpam-6274	594	54	,	,	PUNCT
ejpam-6274	594	55	then	then	ADV
ejpam-6274	594	56	we	we	PRON
ejpam-6274	594	57	get	get	VERB
ejpam-6274	594	58	(	(	PUNCT
ejpam-6274	594	59	∫	∫	PROPN
ejpam-6274	594	60	2	2	NUM
ejpam-6274	594	61	1	1	NUM
ejpam-6274	594	62	∣∣∣2ls	∣∣∣2ls	NUM
ejpam-6274	594	63	(	(	PUNCT
ejpam-6274	594	64	φ∗	φ∗	NOUN
ejpam-6274	594	65	2−lg	2−lg	NUM
ejpam-6274	594	66	)	)	PUNCT
ejpam-6274	594	67	a	a	DET
ejpam-6274	594	68	(	(	PUNCT
ejpam-6274	594	69	x	x	NOUN
ejpam-6274	594	70	)	)	PUNCT
ejpam-6274	594	71	∣∣∣κ	∣∣∣κ	PROPN
ejpam-6274	594	72	dt	dt	X
ejpam-6274	594	73	t	t	NOUN
ejpam-6274	594	74	)	)	PUNCT
ejpam-6274	595	1	r	r	X
ejpam-6274	595	2	/	/	SYM
ejpam-6274	595	3	κ	κ	NOUN
ejpam-6274	595	4	≲	≲	PROPN
ejpam-6274	595	5	∑	∑	PROPN
ejpam-6274	595	6	k∈l+n0	k∈l+n0	ADJ
ejpam-6274	595	7	2−ωr|l−k|2krsm	2−ωr|l−k|2krsm	PROPN
ejpam-6274	596	1	[	[	X
ejpam-6274	596	2	(	(	PUNCT
ejpam-6274	596	3	∫	∫	PROPN
ejpam-6274	596	4	2	2	NUM
ejpam-6274	596	5	1	1	NUM
ejpam-6274	596	6	|((φk)t	|((φk)t	X
ejpam-6274	596	7	∗	∗	NOUN
ejpam-6274	596	8	g	g	NOUN
ejpam-6274	596	9	)	)	PUNCT
ejpam-6274	596	10	(	(	PUNCT
ejpam-6274	596	11	·	·	PUNCT
ejpam-6274	596	12	)	)	PUNCT
ejpam-6274	597	1	|	|	ADV
ejpam-6274	597	2	κ	κ	X
ejpam-6274	597	3	dt	dt	X
ejpam-6274	597	4	t	t	NOUN
ejpam-6274	597	5	)	)	PUNCT
ejpam-6274	597	6	r	r	X
ejpam-6274	597	7	/	/	SYM
ejpam-6274	597	8	κ	κ	NOUN
ejpam-6274	597	9	]	]	PUNCT
ejpam-6274	597	10	(	(	PUNCT
ejpam-6274	597	11	x	x	NOUN
ejpam-6274	597	12	)	)	PUNCT
ejpam-6274	597	13	.	.	PUNCT
ejpam-6274	598	1	using	use	VERB
ejpam-6274	598	2	lemma	lemma	PROPN
ejpam-6274	598	3	3.5	3.5	NUM
ejpam-6274	598	4	in	in	ADP
ejpam-6274	598	5	mk̇	mk̇	NOUN
ejpam-6274	598	6	rη	rη	NOUN
ejpam-6274	598	7	(	(	PUNCT
ejpam-6274	598	8	·	·	PUNCT
ejpam-6274	598	9	)	)	PUNCT
ejpam-6274	598	10	,	,	PUNCT
ejpam-6274	598	11	q	q	X
ejpam-6274	598	12	/	/	SYM
ejpam-6274	598	13	r),rθ	r),rθ	NOUN
ejpam-6274	598	14	rλ	rλ	VERB
ejpam-6274	598	15	,	,	PUNCT
ejpam-6274	598	16	p(·)/r	p(·)/r	PROPN
ejpam-6274	598	17	(	(	PUNCT
ejpam-6274	598	18	ℓκ	ℓκ	PROPN
ejpam-6274	598	19	/	/	SYM
ejpam-6274	598	20	r	r	NOUN
ejpam-6274	598	21	)	)	PUNCT
ejpam-6274	598	22	,	,	PUNCT
ejpam-6274	598	23	we	we	PRON
ejpam-6274	598	24	obtain	obtain	VERB
ejpam-6274	598	25	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	598	26	{	{	PUNCT
ejpam-6274	598	27	(	(	PUNCT
ejpam-6274	598	28	∫	∫	PROPN
ejpam-6274	598	29	2	2	NUM
ejpam-6274	598	30	1	1	NUM
ejpam-6274	598	31	∣∣∣2ls	∣∣∣2ls	NUM
ejpam-6274	598	32	(	(	PUNCT
ejpam-6274	598	33	φ∗	φ∗	NOUN
ejpam-6274	598	34	2−ltg	2−ltg	NOUN
ejpam-6274	598	35	)	)	PUNCT
ejpam-6274	598	36	a	a	DET
ejpam-6274	598	37	(	(	PUNCT
ejpam-6274	598	38	x	x	NOUN
ejpam-6274	598	39	)	)	PUNCT
ejpam-6274	598	40	∣∣∣κ	∣∣∣κ	PROPN
ejpam-6274	598	41	dt	dt	X
ejpam-6274	598	42	t	t	NOUN
ejpam-6274	598	43	)	)	PUNCT
ejpam-6274	598	44	r	r	NOUN
ejpam-6274	598	45	/	/	SYM
ejpam-6274	598	46	κ	κ	NOUN
ejpam-6274	598	47	}	}	PUNCT
ejpam-6274	598	48	l∈n	l∈n	VERB
ejpam-6274	598	49	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	598	50	mk̇	mk̇	NUM
ejpam-6274	598	51	rη	rη	NOUN
ejpam-6274	598	52	(	(	PUNCT
ejpam-6274	598	53	·	·	PUNCT
ejpam-6274	598	54	)	)	PUNCT
ejpam-6274	598	55	,	,	PUNCT
ejpam-6274	598	56	q	q	X
ejpam-6274	598	57	/	/	SYM
ejpam-6274	598	58	r),rθ	r),rθ	NOUN
ejpam-6274	598	59	rλ	rλ	VERB
ejpam-6274	598	60	,	,	PUNCT
ejpam-6274	598	61	p(·)/r	p(·)/r	PROPN
ejpam-6274	598	62	(	(	PUNCT
ejpam-6274	598	63	ℓκ	ℓκ	PROPN
ejpam-6274	598	64	/	/	SYM
ejpam-6274	598	65	r	r	NOUN
ejpam-6274	598	66	)	)	PUNCT
ejpam-6274	598	67	≲	≲	PROPN
ejpam-6274	598	68	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	599	1	{	{	PUNCT
ejpam-6274	599	2	m	m	VERB
ejpam-6274	599	3	[	[	X
ejpam-6274	599	4	(	(	PUNCT
ejpam-6274	599	5	∫	∫	PROPN
ejpam-6274	599	6	2	2	NUM
ejpam-6274	599	7	1	1	NUM
ejpam-6274	599	8	∣∣∣2ks	∣∣∣2ks	NUM
ejpam-6274	599	9	(	(	PUNCT
ejpam-6274	599	10	(	(	PUNCT
ejpam-6274	599	11	φl)t	φl)t	NOUN
ejpam-6274	599	12	∗	∗	NOUN
ejpam-6274	599	13	g	g	NOUN
ejpam-6274	599	14	)	)	PUNCT
ejpam-6274	599	15	(	(	PUNCT
ejpam-6274	599	16	·	·	PUNCT
ejpam-6274	599	17	)	)	PUNCT
ejpam-6274	599	18	∣∣∣κ	∣∣∣κ	PROPN
ejpam-6274	599	19	dt	dt	X
ejpam-6274	599	20	t	t	NOUN
ejpam-6274	599	21	)	)	PUNCT
ejpam-6274	599	22	r	r	X
ejpam-6274	599	23	/	/	SYM
ejpam-6274	599	24	κ	κ	NOUN
ejpam-6274	599	25	]	]	PUNCT
ejpam-6274	599	26	}	}	PUNCT
ejpam-6274	599	27	l∈n	l∈n	VERB
ejpam-6274	599	28	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	599	29	mk̇	mk̇	NUM
ejpam-6274	599	30	rη	rη	NOUN
ejpam-6274	599	31	(	(	PUNCT
ejpam-6274	599	32	·	·	PUNCT
ejpam-6274	599	33	)	)	PUNCT
ejpam-6274	599	34	,	,	PUNCT
ejpam-6274	599	35	q	q	X
ejpam-6274	599	36	/	/	SYM
ejpam-6274	599	37	r),rθ	r),rθ	NOUN
ejpam-6274	599	38	rλ	rλ	VERB
ejpam-6274	599	39	,	,	PUNCT
ejpam-6274	599	40	p(·)/r	p(·)/r	PROPN
ejpam-6274	599	41	(	(	PUNCT
ejpam-6274	599	42	ℓκ	ℓκ	PROPN
ejpam-6274	599	43	/	/	SYM
ejpam-6274	599	44	r	r	NOUN
ejpam-6274	599	45	)	)	PUNCT
ejpam-6274	599	46	theorem	theorem	VERB
ejpam-6274	599	47	2.8	2.8	NUM
ejpam-6274	599	48	yields	yield	NOUN
ejpam-6274	599	49	∥∥∥∥∥	∥∥∥∥∥	NUM
ejpam-6274	599	50	{	{	PUNCT
ejpam-6274	599	51	(	(	PUNCT
ejpam-6274	599	52	∫	∫	PROPN
ejpam-6274	599	53	2	2	NUM
ejpam-6274	599	54	1	1	NUM
ejpam-6274	599	55	∣∣∣2ls	∣∣∣2ls	NUM
ejpam-6274	599	56	(	(	PUNCT
ejpam-6274	599	57	φ∗	φ∗	NOUN
ejpam-6274	599	58	2−lg	2−lg	NUM
ejpam-6274	599	59	)	)	PUNCT
ejpam-6274	599	60	a	a	DET
ejpam-6274	599	61	(	(	PUNCT
ejpam-6274	599	62	x	x	NOUN
ejpam-6274	599	63	)	)	PUNCT
ejpam-6274	599	64	∣∣∣κ	∣∣∣κ	PROPN
ejpam-6274	599	65	dt	dt	X
ejpam-6274	599	66	t	t	NOUN
ejpam-6274	599	67	)	)	PUNCT
ejpam-6274	599	68	r	r	NOUN
ejpam-6274	599	69	/	/	SYM
ejpam-6274	599	70	κ	κ	NOUN
ejpam-6274	599	71	}	}	PUNCT
ejpam-6274	599	72	l∈n	l∈n	VERB
ejpam-6274	599	73	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	599	74	mk̇	mk̇	NUM
ejpam-6274	599	75	rη	rη	NOUN
ejpam-6274	599	76	(	(	PUNCT
ejpam-6274	599	77	·	·	PUNCT
ejpam-6274	599	78	)	)	PUNCT
ejpam-6274	599	79	,	,	PUNCT
ejpam-6274	599	80	q	q	X
ejpam-6274	599	81	/	/	SYM
ejpam-6274	599	82	r),rθ	r),rθ	NOUN
ejpam-6274	599	83	rλ	rλ	VERB
ejpam-6274	599	84	,	,	PUNCT
ejpam-6274	599	85	p(·)/r	p(·)/r	PROPN
ejpam-6274	599	86	(	(	PUNCT
ejpam-6274	599	87	ℓκ	ℓκ	PROPN
ejpam-6274	599	88	/	/	SYM
ejpam-6274	599	89	r	r	NOUN
ejpam-6274	599	90	)	)	PUNCT
ejpam-6274	599	91	≲	≲	PROPN
ejpam-6274	599	92	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	599	93	{	{	PUNCT
ejpam-6274	599	94	(	(	PUNCT
ejpam-6274	599	95	∫	∫	PROPN
ejpam-6274	599	96	2	2	NUM
ejpam-6274	599	97	1	1	NUM
ejpam-6274	599	98	∣∣∣2ks	∣∣∣2ks	NUM
ejpam-6274	599	99	(	(	PUNCT
ejpam-6274	599	100	(	(	PUNCT
ejpam-6274	599	101	φl)t	φl)t	NOUN
ejpam-6274	599	102	∗	∗	NOUN
ejpam-6274	599	103	g	g	NOUN
ejpam-6274	599	104	)	)	PUNCT
ejpam-6274	599	105	(	(	PUNCT
ejpam-6274	599	106	·	·	PUNCT
ejpam-6274	599	107	)	)	PUNCT
ejpam-6274	599	108	∣∣∣κ	∣∣∣κ	PROPN
ejpam-6274	599	109	dt	dt	X
ejpam-6274	599	110	t	t	NOUN
ejpam-6274	599	111	)	)	PUNCT
ejpam-6274	599	112	r	r	NOUN
ejpam-6274	599	113	/	/	SYM
ejpam-6274	599	114	κ	κ	NOUN
ejpam-6274	599	115	}	}	PUNCT
ejpam-6274	599	116	l∈n	l∈n	VERB
ejpam-6274	599	117	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	599	118	mk̇	mk̇	NUM
ejpam-6274	599	119	rη	rη	NOUN
ejpam-6274	599	120	(	(	PUNCT
ejpam-6274	599	121	·	·	PUNCT
ejpam-6274	599	122	)	)	PUNCT
ejpam-6274	599	123	,	,	PUNCT
ejpam-6274	599	124	q	q	X
ejpam-6274	599	125	/	/	SYM
ejpam-6274	599	126	r),rθ	r),rθ	NOUN
ejpam-6274	599	127	rλ	rλ	VERB
ejpam-6274	599	128	,	,	PUNCT
ejpam-6274	599	129	p(·)/r	p(·)/r	PROPN
ejpam-6274	599	130	(	(	PUNCT
ejpam-6274	599	131	ℓκ	ℓκ	PROPN
ejpam-6274	599	132	/	/	SYM
ejpam-6274	599	133	r	r	NOUN
ejpam-6274	599	134	)	)	PUNCT
ejpam-6274	599	135	=	=	SYM
ejpam-6274	599	136	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	599	137	{	{	PUNCT
ejpam-6274	599	138	(	(	PUNCT
ejpam-6274	599	139	∫	∫	PROPN
ejpam-6274	599	140	2	2	NUM
ejpam-6274	599	141	1	1	NUM
ejpam-6274	599	142	∣∣∣2ks	∣∣∣2ks	NUM
ejpam-6274	599	143	(	(	PUNCT
ejpam-6274	599	144	(	(	PUNCT
ejpam-6274	599	145	φl)t	φl)t	NOUN
ejpam-6274	599	146	∗	∗	NOUN
ejpam-6274	599	147	g	g	NOUN
ejpam-6274	599	148	)	)	PUNCT
ejpam-6274	599	149	(	(	PUNCT
ejpam-6274	599	150	·	·	PUNCT
ejpam-6274	599	151	)	)	PUNCT
ejpam-6274	599	152	∣∣∣κ	∣∣∣κ	PROPN
ejpam-6274	599	153	dt	dt	X
ejpam-6274	599	154	t	t	PROPN
ejpam-6274	599	155	)	)	PUNCT
ejpam-6274	599	156	1	1	NUM
ejpam-6274	599	157	/	/	SYM
ejpam-6274	599	158	κ	κ	NOUN
ejpam-6274	599	159	}	}	PUNCT
ejpam-6274	599	160	l∈n	l∈n	VERB
ejpam-6274	599	161	∥∥∥∥∥	∥∥∥∥∥	X
ejpam-6274	599	162	r	r	NOUN
ejpam-6274	599	163	mk̇	mk̇	NUM
ejpam-6274	599	164	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	599	165	λ	λ	NOUN
ejpam-6274	599	166	,	,	PUNCT
ejpam-6274	599	167	p	p	X
ejpam-6274	599	168	(	(	PUNCT
ejpam-6274	599	169	·	·	PUNCT
ejpam-6274	599	170	)	)	PUNCT
ejpam-6274	599	171	(	(	PUNCT
ejpam-6274	599	172	ℓκ	ℓκ	ADV
ejpam-6274	599	173	)	)	PUNCT
ejpam-6274	599	174	.	.	PUNCT
ejpam-6274	600	1	hence	hence	ADV
ejpam-6274	600	2	,	,	PUNCT
ejpam-6274	600	3	we	we	PRON
ejpam-6274	600	4	have	have	VERB
ejpam-6274	600	5	∥∥∥∥∥	∥∥∥∥∥	NUM
ejpam-6274	600	6	(	(	PUNCT
ejpam-6274	600	7	∫	∫	PROPN
ejpam-6274	600	8	1	1	NUM
ejpam-6274	600	9	0	0	NUM
ejpam-6274	600	10	∣∣λ−s	∣∣λ−s	PROPN
ejpam-6274	600	11	(	(	PUNCT
ejpam-6274	600	12	φ∗	φ∗	NOUN
ejpam-6274	600	13	λg)a	λg)a	NOUN
ejpam-6274	600	14	(	(	PUNCT
ejpam-6274	600	15	·	·	PUNCT
ejpam-6274	600	16	)	)	PUNCT
ejpam-6274	600	17	∣∣κ	∣∣κ	NOUN
ejpam-6274	600	18	dλ	dλ	NOUN
ejpam-6274	600	19	λ	λ	PROPN
ejpam-6274	600	20	)	)	PUNCT
ejpam-6274	600	21	1	1	NUM
ejpam-6274	600	22	/	/	SYM
ejpam-6274	600	23	κ	κ	X
ejpam-6274	600	24	∥∥∥∥∥	∥∥∥∥∥	NOUN
ejpam-6274	600	25	mk̇	mk̇	NUM
ejpam-6274	600	26	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	600	27	λ	λ	NOUN
ejpam-6274	600	28	,	,	PUNCT
ejpam-6274	600	29	p	p	X
ejpam-6274	600	30	(	(	PUNCT
ejpam-6274	600	31	·	·	PUNCT
ejpam-6274	600	32	)	)	PUNCT
ejpam-6274	601	1	≈	≈	PROPN
ejpam-6274	601	2	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-6274	602	1	(	(	PUNCT
ejpam-6274	602	2	∞∑	∞∑	NUM
ejpam-6274	602	3	l=1	l=1	PROPN
ejpam-6274	602	4	∫	∫	PROPN
ejpam-6274	602	5	2	2	NUM
ejpam-6274	602	6	1	1	NUM
ejpam-6274	602	7	∣∣∣2ls	∣∣∣2ls	NUM
ejpam-6274	602	8	(	(	PUNCT
ejpam-6274	602	9	φ∗	φ∗	NOUN
ejpam-6274	602	10	2−ltg	2−ltg	NOUN
ejpam-6274	602	11	)	)	PUNCT
ejpam-6274	602	12	a	a	DET
ejpam-6274	602	13	(	(	PUNCT
ejpam-6274	602	14	·	·	PUNCT
ejpam-6274	602	15	)	)	PUNCT
ejpam-6274	602	16	∣∣∣κ	∣∣∣κ	PROPN
ejpam-6274	602	17	dt	dt	X
ejpam-6274	602	18	t	t	PROPN
ejpam-6274	602	19	)	)	PUNCT
ejpam-6274	602	20	1	1	NUM
ejpam-6274	602	21	/	/	SYM
ejpam-6274	602	22	κ	κ	PRON
ejpam-6274	602	23	∥∥∥∥∥∥	∥∥∥∥∥∥	NOUN
ejpam-6274	603	1	mk̇	mk̇	NUM
ejpam-6274	603	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	603	3	λ	λ	NOUN
ejpam-6274	603	4	,	,	PUNCT
ejpam-6274	603	5	p	p	X
ejpam-6274	603	6	(	(	PUNCT
ejpam-6274	603	7	·	·	PUNCT
ejpam-6274	603	8	)	)	PUNCT
ejpam-6274	603	9	≲	≲	PROPN
ejpam-6274	603	10	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	603	11	{	{	PUNCT
ejpam-6274	603	12	(	(	PUNCT
ejpam-6274	603	13	∫	∫	PROPN
ejpam-6274	603	14	2	2	NUM
ejpam-6274	603	15	1	1	NUM
ejpam-6274	603	16	∣∣∣2lsφ2−lt	∣∣∣2lsφ2−lt	NOUN
ejpam-6274	603	17	∗	∗	NOUN
ejpam-6274	603	18	g	g	PROPN
ejpam-6274	603	19	(	(	PUNCT
ejpam-6274	603	20	·	·	PUNCT
ejpam-6274	603	21	)	)	PUNCT
ejpam-6274	603	22	∣∣∣κ	∣∣∣κ	PROPN
ejpam-6274	603	23	dt	dt	X
ejpam-6274	603	24	t	t	PROPN
ejpam-6274	603	25	)	)	PUNCT
ejpam-6274	603	26	1	1	NUM
ejpam-6274	603	27	/	/	SYM
ejpam-6274	603	28	κ	κ	NOUN
ejpam-6274	603	29	}	}	PUNCT
ejpam-6274	603	30	l∈n	l∈n	VERB
ejpam-6274	603	31	∥∥∥∥∥	∥∥∥∥∥	X
ejpam-6274	604	1	mk̇	mk̇	NUM
ejpam-6274	604	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	604	3	λ	λ	NOUN
ejpam-6274	604	4	,	,	PUNCT
ejpam-6274	604	5	p	p	X
ejpam-6274	604	6	(	(	PUNCT
ejpam-6274	604	7	·	·	PUNCT
ejpam-6274	604	8	)	)	PUNCT
ejpam-6274	604	9	(	(	PUNCT
ejpam-6274	604	10	ℓκ	ℓκ	PROPN
ejpam-6274	604	11	)	)	PUNCT
ejpam-6274	604	12	m.	m.	NOUN
ejpam-6274	604	13	sultan	sultan	PROPN
ejpam-6274	604	14	,	,	PUNCT
ejpam-6274	604	15	b.	b.	PROPN
ejpam-6274	604	16	sultan	sultan	PROPN
ejpam-6274	604	17	,	,	PUNCT
ejpam-6274	604	18	i	i	PROPN
ejpam-6274	604	19	-	-	PUNCT
ejpam-6274	604	20	l.	l.	PROPN
ejpam-6274	604	21	popa	popa	PROPN
ejpam-6274	604	22	/	/	SYM
ejpam-6274	604	23	eur	eur	PROPN
ejpam-6274	604	24	.	.	PUNCT
ejpam-6274	605	1	j.	j.	PROPN
ejpam-6274	605	2	pure	pure	PROPN
ejpam-6274	605	3	appl	appl	PROPN
ejpam-6274	605	4	.	.	PROPN
ejpam-6274	605	5	math	math	PROPN
ejpam-6274	605	6	,	,	PUNCT
ejpam-6274	605	7	18	18	NUM
ejpam-6274	605	8	(	(	PUNCT
ejpam-6274	605	9	3	3	NUM
ejpam-6274	605	10	)	)	PUNCT
ejpam-6274	605	11	(	(	PUNCT
ejpam-6274	605	12	2025	2025	NUM
ejpam-6274	605	13	)	)	PUNCT
ejpam-6274	605	14	,	,	PUNCT
ejpam-6274	605	15	6274	6274	NUM
ejpam-6274	605	16	27	27	NUM
ejpam-6274	605	17	of	of	ADP
ejpam-6274	605	18	33	33	NUM
ejpam-6274	605	19	≈	≈	PROPN
ejpam-6274	605	20	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-6274	605	21	(	(	PUNCT
ejpam-6274	605	22	∫	∫	PROPN
ejpam-6274	605	23	1	1	NUM
ejpam-6274	605	24	0	0	NUM
ejpam-6274	605	25	∣∣λ−sφλ	∣∣λ−sφλ	NOUN
ejpam-6274	605	26	∗	∗	NOUN
ejpam-6274	605	27	g	g	PROPN
ejpam-6274	605	28	(	(	PUNCT
ejpam-6274	605	29	·	·	PUNCT
ejpam-6274	605	30	)	)	PUNCT
ejpam-6274	605	31	∣∣κ	∣∣κ	NOUN
ejpam-6274	605	32	dλ	dλ	NOUN
ejpam-6274	605	33	λ	λ	PROPN
ejpam-6274	605	34	)	)	PUNCT
ejpam-6274	605	35	1	1	NUM
ejpam-6274	605	36	/	/	SYM
ejpam-6274	605	37	κ	κ	X
ejpam-6274	605	38	∥∥∥∥∥	∥∥∥∥∥	NOUN
ejpam-6274	605	39	mk̇	mk̇	NUM
ejpam-6274	605	40	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	605	41	λ	λ	NOUN
ejpam-6274	605	42	,	,	PUNCT
ejpam-6274	605	43	p	p	X
ejpam-6274	605	44	(	(	PUNCT
ejpam-6274	605	45	·	·	PUNCT
ejpam-6274	605	46	)	)	PUNCT
ejpam-6274	605	47	.	.	PUNCT
ejpam-6274	606	1	this	this	PRON
ejpam-6274	606	2	proves	prove	VERB
ejpam-6274	606	3	∥g∥(2	∥g∥(2	NOUN
ejpam-6274	606	4	)	)	PUNCT
ejpam-6274	606	5	mk̇	mk̇	NOUN
ejpam-6274	606	6	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	606	7	λ	λ	NOUN
ejpam-6274	606	8	,	,	PUNCT
ejpam-6274	606	9	p	p	X
ejpam-6274	606	10	(	(	PUNCT
ejpam-6274	606	11	·	·	PUNCT
ejpam-6274	606	12	)	)	PUNCT
ejpam-6274	607	1	f	f	PROPN
ejpam-6274	607	2	s	s	NOUN
ejpam-6274	607	3	κ	κ	ADP
ejpam-6274	607	4	≲	≲	PROPN
ejpam-6274	607	5	∥g∥(1	∥g∥(1	PROPN
ejpam-6274	607	6	)	)	PUNCT
ejpam-6274	607	7	mk̇	mk̇	NOUN
ejpam-6274	607	8	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	607	9	λ	λ	NOUN
ejpam-6274	607	10	,	,	PUNCT
ejpam-6274	607	11	p	p	X
ejpam-6274	607	12	(	(	PUNCT
ejpam-6274	607	13	·	·	PUNCT
ejpam-6274	607	14	)	)	PUNCT
ejpam-6274	608	1	f	f	PROPN
ejpam-6274	608	2	s	s	PROPN
ejpam-6274	608	3	κ	κ	NOUN
ejpam-6274	608	4	.	.	PUNCT
ejpam-6274	609	1	step	step	NOUN
ejpam-6274	609	2	2	2	NUM
ejpam-6274	609	3	.	.	PUNCT
ejpam-6274	609	4	suppose	suppose	VERB
ejpam-6274	609	5	that	that	SCONJ
ejpam-6274	609	6	ψ0,ψ	ψ0,ψ	PROPN
ejpam-6274	609	7	∈	∈	PROPN
ejpam-6274	609	8	s	s	PART
ejpam-6274	609	9	′	′	NUM
ejpam-6274	609	10	(	(	PUNCT
ejpam-6274	609	11	rn	rn	NOUN
ejpam-6274	609	12	)	)	PUNCT
ejpam-6274	609	13	and	and	CCONJ
ejpam-6274	609	14	g	g	PROPN
ejpam-6274	609	15	∈	∈	PROPN
ejpam-6274	609	16	s	s	PART
ejpam-6274	609	17	′	′	NUM
ejpam-6274	609	18	(	(	PUNCT
ejpam-6274	609	19	rn	rn	NOUN
ejpam-6274	609	20	)	)	PUNCT
ejpam-6274	609	21	.	.	PUNCT
ejpam-6274	610	1	∥g∥(4	∥g∥(4	PROPN
ejpam-6274	610	2	)	)	PUNCT
ejpam-6274	611	1	mk̇	mk̇	NUM
ejpam-6274	611	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	611	3	λ	λ	NOUN
ejpam-6274	611	4	,	,	PUNCT
ejpam-6274	611	5	p	p	X
ejpam-6274	611	6	(	(	PUNCT
ejpam-6274	611	7	·	·	PUNCT
ejpam-6274	611	8	)	)	PUNCT
ejpam-6274	611	9	f	f	PROPN
ejpam-6274	611	10	s	s	PART
ejpam-6274	611	11	κ(rn	κ(rn	PROPN
ejpam-6274	611	12	,	,	PUNCT
ejpam-6274	611	13	ψ	ψ	NOUN
ejpam-6274	611	14	)	)	PUNCT
ejpam-6274	611	15	≲	≲	PROPN
ejpam-6274	611	16	∥g∥(2	∥g∥(2	NUM
ejpam-6274	611	17	)	)	PUNCT
ejpam-6274	611	18	mk̇	mk̇	NOUN
ejpam-6274	611	19	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	611	20	λ	λ	NOUN
ejpam-6274	611	21	,	,	PUNCT
ejpam-6274	611	22	p	p	X
ejpam-6274	611	23	(	(	PUNCT
ejpam-6274	611	24	·	·	PUNCT
ejpam-6274	611	25	)	)	PUNCT
ejpam-6274	611	26	f	f	PROPN
ejpam-6274	611	27	s	s	PART
ejpam-6274	611	28	κ(rn	κ(rn	PROPN
ejpam-6274	611	29	,	,	PUNCT
ejpam-6274	611	30	φ	φ	NUM
ejpam-6274	611	31	)	)	PUNCT
ejpam-6274	611	32	.	.	PUNCT
ejpam-6274	612	1	(	(	PUNCT
ejpam-6274	612	2	3.11	3.11	NUM
ejpam-6274	612	3	)	)	PUNCT
ejpam-6274	612	4	by	by	ADP
ejpam-6274	612	5	applying	apply	VERB
ejpam-6274	612	6	lemmas	lemmas	PROPN
ejpam-6274	612	7	3.5	3.5	NUM
ejpam-6274	612	8	and	and	CCONJ
ejpam-6274	612	9	3.2	3.2	NUM
ejpam-6274	612	10	,	,	PUNCT
ejpam-6274	612	11	and	and	CCONJ
ejpam-6274	612	12	the	the	DET
ejpam-6274	612	13	fact	fact	NOUN
ejpam-6274	612	14	ω	ω	NOUN
ejpam-6274	612	15	=	=	SYM
ejpam-6274	612	16	min{1	min{1	PROPN
ejpam-6274	612	17	,	,	PUNCT
ejpam-6274	612	18	s	s	PART
ejpam-6274	612	19	+	+	X
ejpam-6274	612	20	1−	1−	NUM
ejpam-6274	612	21	s},then	s},then	ADV
ejpam-6274	612	22	for	for	ADP
ejpam-6274	612	23	g	g	PROPN
ejpam-6274	612	24	∈	∈	PROPN
ejpam-6274	612	25	s	s	PART
ejpam-6274	612	26	,	,	PUNCT
ejpam-6274	612	27	we	we	PRON
ejpam-6274	612	28	get	get	VERB
ejpam-6274	612	29	2ls	2ls	NOUN
ejpam-6274	612	30	(	(	PUNCT
ejpam-6274	612	31	ψ∗	ψ∗	PROPN
ejpam-6274	612	32	l	l	NOUN
ejpam-6274	612	33	g)a	g)a	X
ejpam-6274	612	34	(	(	PUNCT
ejpam-6274	612	35	x	x	NOUN
ejpam-6274	612	36	)	)	PUNCT
ejpam-6274	612	37	⩽	⩽	NOUN
ejpam-6274	612	38	c	c	AUX
ejpam-6274	612	39	∑	∑	PROPN
ejpam-6274	612	40	k∈n0	k∈n0	PROPN
ejpam-6274	612	41	2−|k−l|ω2ks	2−|k−l|ω2ks	NUM
ejpam-6274	612	42	(	(	PUNCT
ejpam-6274	612	43	φ∗	φ∗	NOUN
ejpam-6274	612	44	2−ktg	2−ktg	NOUN
ejpam-6274	612	45	)	)	PUNCT
ejpam-6274	612	46	a	a	DET
ejpam-6274	612	47	(	(	PUNCT
ejpam-6274	612	48	x	x	NOUN
ejpam-6274	612	49	)	)	PUNCT
ejpam-6274	612	50	,	,	PUNCT
ejpam-6274	612	51	x	x	PUNCT
ejpam-6274	612	52	∈	∈	PROPN
ejpam-6274	612	53	rn	rn	PROPN
ejpam-6274	612	54	and	and	CCONJ
ejpam-6274	612	55	t	t	PROPN
ejpam-6274	612	56	∈	∈	PROPN
ejpam-6274	613	1	[	[	X
ejpam-6274	613	2	1	1	NUM
ejpam-6274	613	3	,	,	PUNCT
ejpam-6274	613	4	2	2	NUM
ejpam-6274	613	5	]	]	PUNCT
ejpam-6274	613	6	.	.	PUNCT
ejpam-6274	614	1	(	(	PUNCT
ejpam-6274	614	2	3.12	3.12	NUM
ejpam-6274	614	3	)	)	PUNCT
ejpam-6274	614	4	if	if	SCONJ
ejpam-6274	614	5	κ	κ	NOUN
ejpam-6274	614	6	⩾	⩾	NOUN
ejpam-6274	614	7	1	1	NUM
ejpam-6274	614	8	.	.	PUNCT
ejpam-6274	614	9	by	by	ADP
ejpam-6274	614	10	using	use	VERB
ejpam-6274	614	11	the	the	DET
ejpam-6274	614	12	(	(	PUNCT
ejpam-6274	614	13	∫	∫	PROPN
ejpam-6274	614	14	2	2	NUM
ejpam-6274	614	15	1	1	NUM
ejpam-6274	614	16	|	|	ADV
ejpam-6274	614	17	·	·	PUNCT
ejpam-6274	614	18	|κdt	|κdt	PROPN
ejpam-6274	614	19	/	/	SYM
ejpam-6274	614	20	t	t	NOUN
ejpam-6274	614	21	)	)	PUNCT
ejpam-6274	614	22	1	1	NUM
ejpam-6274	614	23	/	/	SYM
ejpam-6274	614	24	κ	κ	NOUN
ejpam-6274	614	25	,	,	PUNCT
ejpam-6274	614	26	we	we	PRON
ejpam-6274	614	27	get	get	VERB
ejpam-6274	614	28	2ls	2ls	NOUN
ejpam-6274	614	29	(	(	PUNCT
ejpam-6274	614	30	ψ∗	ψ∗	PROPN
ejpam-6274	614	31	l	l	NOUN
ejpam-6274	614	32	g)a	g)a	X
ejpam-6274	614	33	(	(	PUNCT
ejpam-6274	614	34	x	x	X
ejpam-6274	614	35	)	)	PUNCT
ejpam-6274	614	36	≲	≲	PROPN
ejpam-6274	614	37	∑	∑	PUNCT
ejpam-6274	614	38	k∈n0	k∈n0	PROPN
ejpam-6274	614	39	2−|k−l|ω2ks	2−|k−l|ω2ks	NUM
ejpam-6274	614	40	(	(	PUNCT
ejpam-6274	614	41	∫	∫	PROPN
ejpam-6274	614	42	2	2	NUM
ejpam-6274	614	43	1	1	NUM
ejpam-6274	614	44	∣∣(φ∗	∣∣(φ∗	NOUN
ejpam-6274	614	45	2−ktg	2−ktg	NUM
ejpam-6274	614	46	)	)	PUNCT
ejpam-6274	614	47	a	a	DET
ejpam-6274	614	48	(	(	PUNCT
ejpam-6274	614	49	x	x	NOUN
ejpam-6274	614	50	)	)	PUNCT
ejpam-6274	614	51	∣∣κ	∣∣κ	PROPN
ejpam-6274	614	52	dt	dt	X
ejpam-6274	614	53	t	t	PROPN
ejpam-6274	614	54	)	)	PUNCT
ejpam-6274	614	55	1	1	NUM
ejpam-6274	614	56	/	/	SYM
ejpam-6274	614	57	κ	κ	NOUN
ejpam-6274	614	58	.	.	PUNCT
ejpam-6274	615	1	applying	apply	VERB
ejpam-6274	615	2	lemma	lemma	PROPN
ejpam-6274	615	3	3.5	3.5	NUM
ejpam-6274	615	4	,	,	PUNCT
ejpam-6274	615	5	we	we	PRON
ejpam-6274	615	6	obtain	obtain	VERB
ejpam-6274	615	7	∥∥∥{2ls	∥∥∥{2ls	NOUN
ejpam-6274	615	8	(	(	PUNCT
ejpam-6274	615	9	ψ∗	ψ∗	NOUN
ejpam-6274	615	10	l	l	PROPN
ejpam-6274	615	11	g)a	g)a	NOUN
ejpam-6274	615	12	}	}	PUNCT
ejpam-6274	615	13	l∈n	l∈n	VERB
ejpam-6274	615	14	∥∥∥	∥∥∥	NOUN
ejpam-6274	615	15	mk̇	mk̇	NUM
ejpam-6274	615	16	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	615	17	λ	λ	NOUN
ejpam-6274	615	18	,	,	PUNCT
ejpam-6274	615	19	p	p	X
ejpam-6274	615	20	(	(	PUNCT
ejpam-6274	615	21	·	·	PUNCT
ejpam-6274	615	22	)	)	PUNCT
ejpam-6274	615	23	(	(	PUNCT
ejpam-6274	615	24	ℓκ	ℓκ	ADV
ejpam-6274	615	25	)	)	PUNCT
ejpam-6274	615	26	≲	≲	PROPN
ejpam-6274	615	27	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-6274	616	1	(	(	PUNCT
ejpam-6274	616	2	∞∑	∞∑	NUM
ejpam-6274	616	3	k=1	k=1	X
ejpam-6274	616	4	2ksκ	2ksκ	NUM
ejpam-6274	616	5	∫	∫	NOUN
ejpam-6274	616	6	2	2	NUM
ejpam-6274	616	7	1	1	NUM
ejpam-6274	616	8	∣∣(φ∗	∣∣(φ∗	NOUN
ejpam-6274	616	9	2−ktg	2−ktg	NUM
ejpam-6274	616	10	)	)	PUNCT
ejpam-6274	616	11	a	a	DET
ejpam-6274	616	12	(	(	PUNCT
ejpam-6274	616	13	x	x	NOUN
ejpam-6274	616	14	)	)	PUNCT
ejpam-6274	616	15	∣∣κ	∣∣κ	PROPN
ejpam-6274	616	16	dt	dt	X
ejpam-6274	616	17	t	t	PROPN
ejpam-6274	616	18	)	)	PUNCT
ejpam-6274	616	19	1	1	NUM
ejpam-6274	616	20	/	/	SYM
ejpam-6274	616	21	κ	κ	PRON
ejpam-6274	616	22	∥∥∥∥∥∥	∥∥∥∥∥∥	NOUN
ejpam-6274	617	1	mk̇	mk̇	NUM
ejpam-6274	617	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	617	3	λ	λ	NOUN
ejpam-6274	617	4	,	,	PUNCT
ejpam-6274	617	5	p	p	X
ejpam-6274	617	6	(	(	PUNCT
ejpam-6274	617	7	·	·	PUNCT
ejpam-6274	617	8	)	)	PUNCT
ejpam-6274	617	9	.	.	PUNCT
ejpam-6274	618	1	hence	hence	ADV
ejpam-6274	618	2	we	we	PRON
ejpam-6274	618	3	obtain	obtain	VERB
ejpam-6274	618	4	the	the	DET
ejpam-6274	618	5	required	require	VERB
ejpam-6274	618	6	result	result	NOUN
ejpam-6274	618	7	.	.	PUNCT
ejpam-6274	619	1	if	if	SCONJ
ejpam-6274	619	2	κ	κ	X
ejpam-6274	619	3	<	<	X
ejpam-6274	619	4	1	1	NUM
ejpam-6274	619	5	,	,	PUNCT
ejpam-6274	619	6	then	then	ADV
ejpam-6274	619	7	(	(	PUNCT
ejpam-6274	619	8	∫	∫	PROPN
ejpam-6274	619	9	2	2	NUM
ejpam-6274	619	10	1	1	NUM
ejpam-6274	619	11	|	|	ADV
ejpam-6274	619	12	·	·	PUNCT
ejpam-6274	619	13	|κdt	|κdt	PROPN
ejpam-6274	619	14	/	/	SYM
ejpam-6274	619	15	t	t	NOUN
ejpam-6274	619	16	)	)	PUNCT
ejpam-6274	619	17	1	1	NUM
ejpam-6274	619	18	/	/	SYM
ejpam-6274	619	19	κ	κ	NOUN
ejpam-6274	619	20	is	be	AUX
ejpam-6274	619	21	not	not	PART
ejpam-6274	619	22	the	the	DET
ejpam-6274	619	23	norm	norm	NOUN
ejpam-6274	619	24	.	.	PUNCT
ejpam-6274	620	1	thus	thus	ADV
ejpam-6274	620	2	we	we	PRON
ejpam-6274	620	3	get	get	AUX
ejpam-6274	620	4	(	(	PUNCT
ejpam-6274	620	5	2ls	2ls	NOUN
ejpam-6274	620	6	(	(	PUNCT
ejpam-6274	620	7	ψ∗	ψ∗	PROPN
ejpam-6274	620	8	l	l	NOUN
ejpam-6274	620	9	g)a	g)a	X
ejpam-6274	620	10	(	(	PUNCT
ejpam-6274	620	11	x	x	NOUN
ejpam-6274	620	12	)	)	PUNCT
ejpam-6274	620	13	)	)	PUNCT
ejpam-6274	620	14	κ	κ	PROPN
ejpam-6274	620	15	≲	≲	PROPN
ejpam-6274	620	16	∑	∑	PUNCT
ejpam-6274	620	17	k∈n0	k∈n0	PROPN
ejpam-6274	620	18	2−κ|k−l|ω2ksκ	2−κ|k−l|ω2ksκ	NUM
ejpam-6274	620	19	∫	∫	PROPN
ejpam-6274	620	20	2	2	NUM
ejpam-6274	620	21	1	1	NUM
ejpam-6274	620	22	∣∣(φ∗	∣∣(φ∗	NOUN
ejpam-6274	620	23	2−ktg	2−ktg	NUM
ejpam-6274	620	24	)	)	PUNCT
ejpam-6274	620	25	a	a	DET
ejpam-6274	620	26	(	(	PUNCT
ejpam-6274	620	27	x	x	NOUN
ejpam-6274	620	28	)	)	PUNCT
ejpam-6274	620	29	∣∣κ	∣∣κ	PROPN
ejpam-6274	620	30	dt	dt	X
ejpam-6274	620	31	t	t	PROPN
ejpam-6274	620	32	.	.	PUNCT
ejpam-6274	621	1	convolution	convolution	NOUN
ejpam-6274	621	2	(	(	PUNCT
ejpam-6274	621	3	γ	γ	X
ejpam-6274	621	4	∗	∗	NOUN
ejpam-6274	621	5	η)ℓ	η)ℓ	NOUN
ejpam-6274	621	6	of	of	ADP
ejpam-6274	621	7	the	the	DET
ejpam-6274	621	8	sequences	sequence	NOUN
ejpam-6274	621	9	yields	yield	NOUN
ejpam-6274	621	10	γk	γk	X
ejpam-6274	621	11	=	=	SYM
ejpam-6274	621	12	2−|k|ωκ	2−|k|ωκ	NUM
ejpam-6274	621	13	and	and	CCONJ
ejpam-6274	621	14	τk	τk	ADP
ejpam-6274	621	15	=	=	ADJ
ejpam-6274	621	16	2ksκ	2ksκ	NUM
ejpam-6274	621	17	∫	∫	NOUN
ejpam-6274	621	18	2	2	NUM
ejpam-6274	621	19	1	1	NUM
ejpam-6274	621	20	∣∣(φ∗	∣∣(φ∗	NOUN
ejpam-6274	621	21	2−ktg	2−ktg	NUM
ejpam-6274	621	22	)	)	PUNCT
ejpam-6274	621	23	a	a	DET
ejpam-6274	621	24	(	(	PUNCT
ejpam-6274	621	25	x	x	NOUN
ejpam-6274	621	26	)	)	PUNCT
ejpam-6274	621	27	∣∣κ	∣∣κ	NOUN
ejpam-6274	621	28	dt	dt	X
ejpam-6274	621	29	t	t	PROPN
ejpam-6274	621	30	for	for	ADP
ejpam-6274	621	31	x	x	PROPN
ejpam-6274	621	32	∈	∈	PROPN
ejpam-6274	621	33	rn	rn	PROPN
ejpam-6274	621	34	,	,	PUNCT
ejpam-6274	621	35	using	use	VERB
ejpam-6274	621	36	ℓ1	ℓ1	NOUN
ejpam-6274	621	37	-	-	PUNCT
ejpam-6274	621	38	norm	norm	NOUN
ejpam-6274	621	39	gives	give	VERB
ejpam-6274	621	40	as∥∥∥2ls	as∥∥∥2ls	NOUN
ejpam-6274	621	41	(	(	PUNCT
ejpam-6274	621	42	ψ∗	ψ∗	PROPN
ejpam-6274	621	43	l	l	NOUN
ejpam-6274	621	44	g)a	g)a	X
ejpam-6274	621	45	(	(	PUNCT
ejpam-6274	621	46	x	x	X
ejpam-6274	621	47	)	)	PUNCT
ejpam-6274	621	48	∥∥∥κ	∥∥∥κ	VERB
ejpam-6274	621	49	ℓκ	ℓκ	ADP
ejpam-6274	621	50	⩽	⩽	ADJ
ejpam-6274	621	51	∥γ∥ℓ1	∥γ∥ℓ1	NOUN
ejpam-6274	621	52	·	·	PUNCT
ejpam-6274	621	53	∥τ∥ℓ1	∥τ∥ℓ1	NOUN
ejpam-6274	621	54	≲	≲	PROPN
ejpam-6274	621	55	∞∑	∞∑	NUM
ejpam-6274	622	1	k=1	k=1	PUNCT
ejpam-6274	622	2	2ksκ	2ksκ	NUM
ejpam-6274	622	3	∫	∫	NOUN
ejpam-6274	622	4	2	2	NUM
ejpam-6274	622	5	1	1	NUM
ejpam-6274	622	6	∣∣(φ∗	∣∣(φ∗	NOUN
ejpam-6274	622	7	2−ktg	2−ktg	NUM
ejpam-6274	622	8	)	)	PUNCT
ejpam-6274	622	9	a	a	DET
ejpam-6274	622	10	(	(	PUNCT
ejpam-6274	622	11	x	x	NOUN
ejpam-6274	622	12	)	)	PUNCT
ejpam-6274	622	13	∣∣κ	∣∣κ	PROPN
ejpam-6274	622	14	dt	dt	X
ejpam-6274	622	15	t	t	PROPN
ejpam-6274	622	16	.	.	PUNCT
ejpam-6274	623	1	m.	m.	PROPN
ejpam-6274	623	2	sultan	sultan	PROPN
ejpam-6274	623	3	,	,	PUNCT
ejpam-6274	623	4	b.	b.	PROPN
ejpam-6274	623	5	sultan	sultan	PROPN
ejpam-6274	623	6	,	,	PUNCT
ejpam-6274	623	7	i	i	PROPN
ejpam-6274	623	8	-	-	PUNCT
ejpam-6274	623	9	l.	l.	PROPN
ejpam-6274	623	10	popa	popa	PROPN
ejpam-6274	623	11	/	/	SYM
ejpam-6274	623	12	eur	eur	PROPN
ejpam-6274	623	13	.	.	PUNCT
ejpam-6274	624	1	j.	j.	PROPN
ejpam-6274	624	2	pure	pure	PROPN
ejpam-6274	624	3	appl	appl	PROPN
ejpam-6274	624	4	.	.	PROPN
ejpam-6274	624	5	math	math	PROPN
ejpam-6274	624	6	,	,	PUNCT
ejpam-6274	624	7	18	18	NUM
ejpam-6274	624	8	(	(	PUNCT
ejpam-6274	624	9	3	3	NUM
ejpam-6274	624	10	)	)	PUNCT
ejpam-6274	624	11	(	(	PUNCT
ejpam-6274	624	12	2025	2025	NUM
ejpam-6274	624	13	)	)	PUNCT
ejpam-6274	624	14	,	,	PUNCT
ejpam-6274	624	15	6274	6274	NUM
ejpam-6274	624	16	28	28	NUM
ejpam-6274	624	17	of	of	ADP
ejpam-6274	624	18	33	33	NUM
ejpam-6274	624	19	by	by	ADP
ejpam-6274	624	20	taking	take	VERB
ejpam-6274	624	21	(	(	PUNCT
ejpam-6274	624	22	·	·	PUNCT
ejpam-6274	624	23	·	·	PUNCT
ejpam-6274	624	24	·	·	PUNCT
ejpam-6274	624	25	)	)	PUNCT
ejpam-6274	625	1	1	1	NUM
ejpam-6274	625	2	/	/	SYM
ejpam-6274	625	3	κ	κ	NOUN
ejpam-6274	625	4	and	and	CCONJ
ejpam-6274	625	5	using	use	VERB
ejpam-6274	625	6	k̇	k̇	PROPN
ejpam-6274	625	7	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	625	8	p	p	X
ejpam-6274	625	9	(	(	PUNCT
ejpam-6274	625	10	·	·	PUNCT
ejpam-6274	625	11	)	)	PUNCT
ejpam-6274	625	12	-norm	-norm	NOUN
ejpam-6274	625	13	.	.	PUNCT
ejpam-6274	626	1	we	we	PRON
ejpam-6274	626	2	obtain	obtain	VERB
ejpam-6274	626	3	desired	desire	VERB
ejpam-6274	626	4	result	result	NOUN
ejpam-6274	626	5	(	(	PUNCT
ejpam-6274	626	6	3.11	3.11	NUM
ejpam-6274	626	7	)	)	PUNCT
ejpam-6274	626	8	.	.	PUNCT
ejpam-6274	627	1	similarly	similarly	ADV
ejpam-6274	627	2	,	,	PUNCT
ejpam-6274	627	3	for	for	ADP
ejpam-6274	627	4	any	any	DET
ejpam-6274	627	5	g	g	PROPN
ejpam-6274	627	6	∈	∈	PROPN
ejpam-6274	627	7	s	s	PART
ejpam-6274	627	8	′	′	NUM
ejpam-6274	627	9	(	(	PUNCT
ejpam-6274	627	10	rn	rn	PROPN
ejpam-6274	627	11	)	)	PUNCT
ejpam-6274	627	12	,	,	PUNCT
ejpam-6274	627	13	we	we	PRON
ejpam-6274	627	14	obtain	obtain	VERB
ejpam-6274	627	15	∥g∥(2	∥g∥(2	NUM
ejpam-6274	627	16	)	)	PUNCT
ejpam-6274	628	1	mk̇	mk̇	NOUN
ejpam-6274	628	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	628	3	λ	λ	NOUN
ejpam-6274	628	4	,	,	PUNCT
ejpam-6274	628	5	p	p	X
ejpam-6274	628	6	(	(	PUNCT
ejpam-6274	628	7	·	·	PUNCT
ejpam-6274	628	8	)	)	PUNCT
ejpam-6274	628	9	f	f	PROPN
ejpam-6274	628	10	s	s	PART
ejpam-6274	628	11	κ(rn	κ(rn	PROPN
ejpam-6274	628	12	,	,	PUNCT
ejpam-6274	628	13	φ	φ	NUM
ejpam-6274	628	14	)	)	PUNCT
ejpam-6274	628	15	≲	≲	PROPN
ejpam-6274	628	16	∥g∥(4	∥g∥(4	PROPN
ejpam-6274	628	17	)	)	PUNCT
ejpam-6274	628	18	mk̇	mk̇	NOUN
ejpam-6274	628	19	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	628	20	λ	λ	NOUN
ejpam-6274	628	21	,	,	PUNCT
ejpam-6274	628	22	p	p	X
ejpam-6274	628	23	(	(	PUNCT
ejpam-6274	628	24	·	·	PUNCT
ejpam-6274	628	25	)	)	PUNCT
ejpam-6274	628	26	f	f	PROPN
ejpam-6274	628	27	s	s	PART
ejpam-6274	628	28	κ(rn	κ(rn	PROPN
ejpam-6274	628	29	,	,	PUNCT
ejpam-6274	628	30	ψ	ψ	NOUN
ejpam-6274	628	31	)	)	PUNCT
ejpam-6274	628	32	.	.	PUNCT
ejpam-6274	629	1	step	step	NOUN
ejpam-6274	629	2	3	3	NUM
ejpam-6274	629	3	.	.	PUNCT
ejpam-6274	630	1	using	use	VERB
ejpam-6274	630	2	t	t	PROPN
ejpam-6274	630	3	=	=	SYM
ejpam-6274	630	4	1	1	NUM
ejpam-6274	630	5	in	in	ADP
ejpam-6274	630	6	step	step	NOUN
ejpam-6274	630	7	1	1	NUM
ejpam-6274	630	8	,	,	PUNCT
ejpam-6274	630	9	we	we	PRON
ejpam-6274	630	10	get	get	VERB
ejpam-6274	630	11	∥g∥(5	∥g∥(5	NOUN
ejpam-6274	630	12	)	)	PUNCT
ejpam-6274	630	13	mk̇	mk̇	NOUN
ejpam-6274	630	14	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	630	15	λ	λ	NOUN
ejpam-6274	630	16	,	,	PUNCT
ejpam-6274	630	17	p	p	X
ejpam-6274	630	18	(	(	PUNCT
ejpam-6274	630	19	·	·	PUNCT
ejpam-6274	630	20	)	)	PUNCT
ejpam-6274	631	1	f	f	PROPN
ejpam-6274	631	2	s	s	NOUN
ejpam-6274	631	3	κ	κ	ADP
ejpam-6274	631	4	≲	≲	PROPN
ejpam-6274	631	5	∥g∥(4	∥g∥(4	PROPN
ejpam-6274	631	6	)	)	PUNCT
ejpam-6274	631	7	mk̇	mk̇	NOUN
ejpam-6274	631	8	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	631	9	λ	λ	NOUN
ejpam-6274	631	10	,	,	PUNCT
ejpam-6274	631	11	p	p	X
ejpam-6274	631	12	(	(	PUNCT
ejpam-6274	631	13	·	·	PUNCT
ejpam-6274	631	14	)	)	PUNCT
ejpam-6274	632	1	f	f	PROPN
ejpam-6274	632	2	s	s	NOUN
ejpam-6274	632	3	κ	κ	ADP
ejpam-6274	632	4	≲	≲	PROPN
ejpam-6274	632	5	∥g∥(5	∥g∥(5	PROPN
ejpam-6274	632	6	)	)	PUNCT
ejpam-6274	632	7	mk̇	mk̇	NUM
ejpam-6274	632	8	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	632	9	λ	λ	NOUN
ejpam-6274	632	10	,	,	PUNCT
ejpam-6274	632	11	p	p	X
ejpam-6274	632	12	(	(	PUNCT
ejpam-6274	632	13	·	·	PUNCT
ejpam-6274	632	14	)	)	PUNCT
ejpam-6274	633	1	f	f	PROPN
ejpam-6274	633	2	s	s	PROPN
ejpam-6274	633	3	κ	κ	NOUN
ejpam-6274	633	4	.	.	PUNCT
ejpam-6274	634	1	step	step	NOUN
ejpam-6274	634	2	4	4	NUM
ejpam-6274	634	3	.	.	PUNCT
ejpam-6274	635	1	we	we	PRON
ejpam-6274	635	2	show	show	VERB
ejpam-6274	635	3	(	(	PUNCT
ejpam-6274	635	4	2.15	2.15	NUM
ejpam-6274	635	5	)	)	PUNCT
ejpam-6274	635	6	is	be	AUX
ejpam-6274	635	7	equivalent	equivalent	ADJ
ejpam-6274	635	8	to	to	ADP
ejpam-6274	635	9	the	the	DET
ejpam-6274	635	10	rest	rest	NOUN
ejpam-6274	635	11	.	.	PUNCT
ejpam-6274	636	1	first	first	ADV
ejpam-6274	636	2	,	,	PUNCT
ejpam-6274	636	3	we	we	PRON
ejpam-6274	636	4	will	will	AUX
ejpam-6274	636	5	show	show	VERB
ejpam-6274	636	6	that	that	SCONJ
ejpam-6274	636	7	for	for	ADP
ejpam-6274	636	8	any	any	DET
ejpam-6274	636	9	g	g	PROPN
ejpam-6274	636	10	∈	∈	PROPN
ejpam-6274	636	11	s	s	PART
ejpam-6274	636	12	′	′	NUM
ejpam-6274	636	13	(	(	PUNCT
ejpam-6274	636	14	rn	rn	NOUN
ejpam-6274	636	15	)	)	PUNCT
ejpam-6274	636	16	∥g∥(2	∥g∥(2	NOUN
ejpam-6274	636	17	)	)	PUNCT
ejpam-6274	636	18	mk̇	mk̇	NOUN
ejpam-6274	636	19	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	636	20	λ	λ	NOUN
ejpam-6274	636	21	,	,	PUNCT
ejpam-6274	636	22	p	p	X
ejpam-6274	636	23	(	(	PUNCT
ejpam-6274	636	24	·	·	PUNCT
ejpam-6274	636	25	)	)	PUNCT
ejpam-6274	636	26	f	f	PROPN
ejpam-6274	636	27	s	s	PART
ejpam-6274	636	28	κ(rn	κ(rn	PROPN
ejpam-6274	636	29	)	)	PUNCT
ejpam-6274	636	30	≲	≲	PROPN
ejpam-6274	636	31	∥g∥(3	∥g∥(3	PROPN
ejpam-6274	636	32	)	)	PUNCT
ejpam-6274	636	33	mk̇	mk̇	NOUN
ejpam-6274	636	34	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	636	35	λ	λ	NOUN
ejpam-6274	636	36	,	,	PUNCT
ejpam-6274	636	37	p	p	X
ejpam-6274	636	38	(	(	PUNCT
ejpam-6274	636	39	·	·	PUNCT
ejpam-6274	636	40	)	)	PUNCT
ejpam-6274	636	41	f	f	PROPN
ejpam-6274	636	42	s	s	NOUN
ejpam-6274	636	43	κ	κ	X
ejpam-6274	636	44	.	.	PUNCT
ejpam-6274	637	1	(	(	PUNCT
ejpam-6274	637	2	3.13	3.13	NUM
ejpam-6274	637	3	)	)	PUNCT
ejpam-6274	637	4	for	for	ADP
ejpam-6274	637	5	0	0	NUM
ejpam-6274	637	6	<	<	X
ejpam-6274	637	7	r	r	X
ejpam-6274	637	8	<	<	X
ejpam-6274	637	9	min	min	NOUN
ejpam-6274	637	10	{	{	PUNCT
ejpam-6274	637	11	p−	p−	NOUN
ejpam-6274	637	12	,	,	PUNCT
ejpam-6274	637	13	κ	κ	NOUN
ejpam-6274	637	14	}	}	PUNCT
ejpam-6274	637	15	,	,	PUNCT
ejpam-6274	637	16	see	see	VERB
ejpam-6274	637	17	[	[	X
ejpam-6274	637	18	59	59	NUM
ejpam-6274	637	19	]	]	PUNCT
ejpam-6274	637	20	,	,	PUNCT
ejpam-6274	637	21	there	there	PRON
ejpam-6274	637	22	exists	exist	VERB
ejpam-6274	637	23	a	a	DET
ejpam-6274	637	24	positive	positive	ADJ
ejpam-6274	637	25	constant	constant	ADJ
ejpam-6274	637	26	c	c	NOUN
ejpam-6274	637	27	such	such	ADJ
ejpam-6274	637	28	that	that	PRON
ejpam-6274	637	29	for	for	ADP
ejpam-6274	637	30	any	any	DET
ejpam-6274	637	31	g	g	PROPN
ejpam-6274	637	32	∈	∈	PROPN
ejpam-6274	637	33	s	s	PART
ejpam-6274	637	34	′	′	NUM
ejpam-6274	637	35	(	(	PUNCT
ejpam-6274	637	36	rn	rn	NOUN
ejpam-6274	637	37	)	)	PUNCT
ejpam-6274	637	38	,	,	PUNCT
ejpam-6274	637	39	(	(	PUNCT
ejpam-6274	637	40	∫	∫	PROPN
ejpam-6274	637	41	2	2	NUM
ejpam-6274	637	42	1	1	NUM
ejpam-6274	637	43	∣∣(ψ∗	∣∣(ψ∗	NOUN
ejpam-6274	637	44	2−lg	2−lg	NUM
ejpam-6274	637	45	)	)	PUNCT
ejpam-6274	638	1	a	a	DET
ejpam-6274	638	2	(	(	PUNCT
ejpam-6274	638	3	x	x	NOUN
ejpam-6274	638	4	)	)	PUNCT
ejpam-6274	638	5	∣∣κ	∣∣κ	PROPN
ejpam-6274	638	6	dt	dt	X
ejpam-6274	638	7	t	t	NOUN
ejpam-6274	638	8	)	)	PUNCT
ejpam-6274	638	9	r	r	NOUN
ejpam-6274	638	10	/	/	SYM
ejpam-6274	638	11	κ	κ	NOUN
ejpam-6274	638	12	⩽	⩽	PROPN
ejpam-6274	639	1	c	c	NOUN
ejpam-6274	639	2	∑	∑	PROPN
ejpam-6274	639	3	k∈n0	k∈n0	PROPN
ejpam-6274	639	4	2−kns2(k+l)n	2−kns2(k+l)n	PROPN
ejpam-6274	639	5	∫	∫	PROPN
ejpam-6274	639	6	rn	rn	PROPN
ejpam-6274	639	7	(	(	PUNCT
ejpam-6274	639	8	∫	∫	PROPN
ejpam-6274	639	9	2	2	NUM
ejpam-6274	639	10	1	1	NUM
ejpam-6274	639	11	∫	∫	NOUN
ejpam-6274	639	12	|z|<2−(k+l)t	|z|<2−(k+l)t	NOUN
ejpam-6274	639	13	|((φk+l)t	|((φk+l)t	NOUN
ejpam-6274	639	14	∗	∗	NOUN
ejpam-6274	639	15	g	g	NOUN
ejpam-6274	639	16	)	)	PUNCT
ejpam-6274	639	17	(	(	PUNCT
ejpam-6274	639	18	z	z	X
ejpam-6274	639	19	+	+	CCONJ
ejpam-6274	639	20	y)|κ	y)|κ	X
ejpam-6274	639	21	dz	dz	X
ejpam-6274	639	22	dt	dt	X
ejpam-6274	639	23	tn+1	tn+1	NUM
ejpam-6274	639	24	)	)	PUNCT
ejpam-6274	639	25	r	r	X
ejpam-6274	639	26	/	/	SYM
ejpam-6274	639	27	κ	κ	X
ejpam-6274	639	28	(	(	PUNCT
ejpam-6274	639	29	1	1	NUM
ejpam-6274	639	30	+	+	SYM
ejpam-6274	639	31	2l|x−	2l|x−	NUM
ejpam-6274	639	32	y|)ar	y|)ar	NOUN
ejpam-6274	639	33	dy	dy	NOUN
ejpam-6274	639	34	.	.	PUNCT
ejpam-6274	640	1	let	let	VERB
ejpam-6274	640	2	ar	ar	PROPN
ejpam-6274	640	3	>	>	X
ejpam-6274	640	4	n	n	CCONJ
ejpam-6274	640	5	,	,	PUNCT
ejpam-6274	640	6	we	we	PRON
ejpam-6274	640	7	get	get	VERB
ejpam-6274	640	8	gl(y	gl(y	NOUN
ejpam-6274	640	9	)	)	PUNCT
ejpam-6274	640	10	:	:	PUNCT
ejpam-6274	641	1	=	=	NUM
ejpam-6274	641	2	2nl	2nl	NOUN
ejpam-6274	641	3	(	(	PUNCT
ejpam-6274	641	4	1	1	NUM
ejpam-6274	641	5	+	+	SYM
ejpam-6274	641	6	2l|y|)ar	2l|y|)ar	NUM
ejpam-6274	641	7	,	,	PUNCT
ejpam-6274	641	8	∀y	∀y	PROPN
ejpam-6274	641	9	∈	∈	PROPN
ejpam-6274	641	10	rn	rn	PROPN
ejpam-6274	641	11	.	.	PROPN
ejpam-6274	642	1	hence	hence	ADV
ejpam-6274	642	2	we	we	PRON
ejpam-6274	642	3	get	get	AUX
ejpam-6274	642	4	(	(	PUNCT
ejpam-6274	642	5	∫	∫	PROPN
ejpam-6274	642	6	2	2	NUM
ejpam-6274	642	7	1	1	NUM
ejpam-6274	642	8	∣∣∣2ls	∣∣∣2ls	NUM
ejpam-6274	642	9	(	(	PUNCT
ejpam-6274	642	10	φ∗	φ∗	NOUN
ejpam-6274	642	11	2−llt	2−llt	PROPN
ejpam-6274	642	12	g	g	NOUN
ejpam-6274	642	13	)	)	PUNCT
ejpam-6274	642	14	a	a	DET
ejpam-6274	642	15	(	(	PUNCT
ejpam-6274	642	16	x	x	NOUN
ejpam-6274	642	17	)	)	PUNCT
ejpam-6274	642	18	∣∣∣κ	∣∣∣κ	PROPN
ejpam-6274	642	19	dt	dt	X
ejpam-6274	642	20	t	t	NOUN
ejpam-6274	642	21	)	)	PUNCT
ejpam-6274	642	22	r	r	X
ejpam-6274	642	23	/	/	SYM
ejpam-6274	642	24	κ	κ	NOUN
ejpam-6274	642	25	≲	≲	PROPN
ejpam-6274	642	26	∑	∑	PUNCT
ejpam-6274	642	27	k∈n0	k∈n0	VERB
ejpam-6274	642	28	2−knr2kn2lsr	2−knr2kn2lsr	PROPN
ejpam-6274	642	29	gl	gl	PROPN
ejpam-6274	642	30	∗	∗	NOUN
ejpam-6274	642	31	(	(	PUNCT
ejpam-6274	642	32	∫	∫	PROPN
ejpam-6274	642	33	2	2	NUM
ejpam-6274	642	34	1	1	NUM
ejpam-6274	642	35	∫	∫	NOUN
ejpam-6274	642	36	|z|<2−(k+l)t	|z|<2−(k+l)t	NOUN
ejpam-6274	642	37	|((φk+l)t	|((φk+l)t	NOUN
ejpam-6274	642	38	∗	∗	NOUN
ejpam-6274	642	39	g	g	NOUN
ejpam-6274	642	40	)	)	PUNCT
ejpam-6274	642	41	(	(	PUNCT
ejpam-6274	642	42	z	z	NOUN
ejpam-6274	642	43	+	+	CCONJ
ejpam-6274	642	44	·	·	PUNCT
ejpam-6274	642	45	)	)	PUNCT
ejpam-6274	642	46	|κ	|κ	ADV
ejpam-6274	642	47	dz	dz	PROPN
ejpam-6274	642	48	dt	dt	X
ejpam-6274	642	49	tn+1	tn+1	NUM
ejpam-6274	642	50	)	)	PUNCT
ejpam-6274	642	51	r	r	X
ejpam-6274	642	52	/	/	SYM
ejpam-6274	642	53	κ	κ	NOUN
ejpam-6274	642	54			NOUN
ejpam-6274	642	55	(	(	PUNCT
ejpam-6274	642	56	x	x	NOUN
ejpam-6274	642	57	)	)	PUNCT
ejpam-6274	642	58	.	.	PUNCT
ejpam-6274	643	1	by	by	ADP
ejpam-6274	643	2	applying	apply	VERB
ejpam-6274	643	3	the	the	DET
ejpam-6274	643	4	majorant	majorant	NOUN
ejpam-6274	643	5	property	property	NOUN
ejpam-6274	643	6	see	see	VERB
ejpam-6274	643	7	[	[	X
ejpam-6274	643	8	62	62	NUM
ejpam-6274	643	9	]	]	PUNCT
ejpam-6274	643	10	to	to	PART
ejpam-6274	643	11	obtain	obtain	VERB
ejpam-6274	643	12	(	(	PUNCT
ejpam-6274	643	13	∫	∫	PROPN
ejpam-6274	643	14	2	2	NUM
ejpam-6274	643	15	1	1	NUM
ejpam-6274	643	16	∣∣∣2ls	∣∣∣2ls	NUM
ejpam-6274	643	17	(	(	PUNCT
ejpam-6274	643	18	φ∗	φ∗	NOUN
ejpam-6274	643	19	2−ltg	2−ltg	NOUN
ejpam-6274	643	20	)	)	PUNCT
ejpam-6274	644	1	a	a	DET
ejpam-6274	644	2	(	(	PUNCT
ejpam-6274	644	3	x	x	NOUN
ejpam-6274	644	4	)	)	PUNCT
ejpam-6274	644	5	∣∣∣κ	∣∣∣κ	PROPN
ejpam-6274	644	6	dt	dt	X
ejpam-6274	644	7	t	t	NOUN
ejpam-6274	644	8	)	)	PUNCT
ejpam-6274	644	9	r	r	NOUN
ejpam-6274	644	10	/	/	SYM
ejpam-6274	644	11	κ	κ	NOUN
ejpam-6274	644	12	m.	m.	NOUN
ejpam-6274	644	13	sultan	sultan	PROPN
ejpam-6274	644	14	,	,	PUNCT
ejpam-6274	644	15	b.	b.	PROPN
ejpam-6274	644	16	sultan	sultan	PROPN
ejpam-6274	644	17	,	,	PUNCT
ejpam-6274	644	18	i	i	PROPN
ejpam-6274	644	19	-	-	PUNCT
ejpam-6274	644	20	l.	l.	PROPN
ejpam-6274	644	21	popa	popa	PROPN
ejpam-6274	644	22	/	/	SYM
ejpam-6274	644	23	eur	eur	PROPN
ejpam-6274	644	24	.	.	PUNCT
ejpam-6274	645	1	j.	j.	PROPN
ejpam-6274	645	2	pure	pure	PROPN
ejpam-6274	645	3	appl	appl	PROPN
ejpam-6274	645	4	.	.	PROPN
ejpam-6274	645	5	math	math	PROPN
ejpam-6274	645	6	,	,	PUNCT
ejpam-6274	645	7	18	18	NUM
ejpam-6274	645	8	(	(	PUNCT
ejpam-6274	645	9	3	3	NUM
ejpam-6274	645	10	)	)	PUNCT
ejpam-6274	645	11	(	(	PUNCT
ejpam-6274	645	12	2025	2025	NUM
ejpam-6274	645	13	)	)	PUNCT
ejpam-6274	645	14	,	,	PUNCT
ejpam-6274	645	15	6274	6274	NUM
ejpam-6274	645	16	29	29	NUM
ejpam-6274	645	17	of	of	ADP
ejpam-6274	645	18	33	33	NUM
ejpam-6274	645	19	≲	≲	PROPN
ejpam-6274	645	20	∑	∑	PUNCT
ejpam-6274	645	21	k∈n0	k∈n0	NOUN
ejpam-6274	645	22	2lsr2k(−nr+n)m	2lsr2k(−nr+n)m	NUM
ejpam-6274	645	23	(∫	(∫	ADP
ejpam-6274	645	24	2	2	NUM
ejpam-6274	645	25	1	1	NUM
ejpam-6274	645	26	∫	∫	NOUN
ejpam-6274	645	27	|z|<2−(k+l)t	|z|<2−(k+l)t	NOUN
ejpam-6274	645	28	|((φk+l)t	|((φk+l)t	NOUN
ejpam-6274	645	29	∗	∗	NOUN
ejpam-6274	645	30	g	g	NOUN
ejpam-6274	645	31	)	)	PUNCT
ejpam-6274	645	32	(	(	PUNCT
ejpam-6274	645	33	z	z	NOUN
ejpam-6274	645	34	+	+	CCONJ
ejpam-6274	645	35	·	·	PUNCT
ejpam-6274	645	36	)	)	PUNCT
ejpam-6274	645	37	|κ	|κ	ADV
ejpam-6274	645	38	dz	dz	PROPN
ejpam-6274	645	39	dt	dt	X
ejpam-6274	645	40	tn+1	tn+1	NUM
ejpam-6274	645	41	)	)	PUNCT
ejpam-6274	645	42	r	r	X
ejpam-6274	645	43	/	/	SYM
ejpam-6274	645	44	κ	κ	NOUN
ejpam-6274	645	45			NOUN
ejpam-6274	645	46	(	(	PUNCT
ejpam-6274	645	47	x	x	NOUN
ejpam-6274	645	48	)	)	PUNCT
ejpam-6274	645	49	.	.	PUNCT
ejpam-6274	646	1	an	an	DET
ejpam-6274	646	2	index	index	NOUN
ejpam-6274	646	3	shift	shift	NOUN
ejpam-6274	646	4	on	on	ADP
ejpam-6274	646	5	the	the	DET
ejpam-6274	646	6	right	right	ADJ
ejpam-6274	646	7	-	-	PUNCT
ejpam-6274	646	8	hand	hand	NOUN
ejpam-6274	646	9	side	side	NOUN
ejpam-6274	646	10	gives	give	VERB
ejpam-6274	646	11	(	(	PUNCT
ejpam-6274	646	12	∫	∫	PROPN
ejpam-6274	646	13	2	2	NUM
ejpam-6274	646	14	1	1	NUM
ejpam-6274	646	15	∣∣∣2ls	∣∣∣2ls	NUM
ejpam-6274	646	16	(	(	PUNCT
ejpam-6274	646	17	φ∗	φ∗	NOUN
ejpam-6274	646	18	2−lg	2−lg	NUM
ejpam-6274	646	19	)	)	PUNCT
ejpam-6274	646	20	a	a	DET
ejpam-6274	646	21	(	(	PUNCT
ejpam-6274	646	22	x	x	NOUN
ejpam-6274	646	23	)	)	PUNCT
ejpam-6274	646	24	∣∣∣κ	∣∣∣κ	PROPN
ejpam-6274	646	25	dt	dt	X
ejpam-6274	646	26	t	t	NOUN
ejpam-6274	646	27	)	)	PUNCT
ejpam-6274	647	1	r	r	X
ejpam-6274	647	2	/	/	SYM
ejpam-6274	647	3	κ	κ	NOUN
ejpam-6274	647	4	≲	≲	PROPN
ejpam-6274	647	5	∑	∑	PROPN
ejpam-6274	647	6	k∈l+n0	k∈l+n0	ADJ
ejpam-6274	647	7	2lsr2(k−l)(−nr+n)m	2lsr2(k−l)(−nr+n)m	NUM
ejpam-6274	647	8	(∫	(∫	ADP
ejpam-6274	647	9	2	2	NUM
ejpam-6274	647	10	1	1	NUM
ejpam-6274	647	11	∫	∫	NOUN
ejpam-6274	647	12	|z|<2−kt	|z|<2−kt	PROPN
ejpam-6274	647	13	|((φk)t	|((φk)t	X
ejpam-6274	647	14	∗	∗	VERB
ejpam-6274	647	15	g	g	NOUN
ejpam-6274	647	16	)	)	PUNCT
ejpam-6274	647	17	(	(	PUNCT
ejpam-6274	647	18	z	z	NOUN
ejpam-6274	647	19	+	+	CCONJ
ejpam-6274	647	20	·	·	PUNCT
ejpam-6274	647	21	)	)	PUNCT
ejpam-6274	647	22	|κ	|κ	ADV
ejpam-6274	647	23	dz	dz	PROPN
ejpam-6274	647	24	dt	dt	X
ejpam-6274	647	25	tn+1	tn+1	NUM
ejpam-6274	647	26	)	)	PUNCT
ejpam-6274	647	27	r	r	X
ejpam-6274	647	28	/	/	SYM
ejpam-6274	647	29	κ	κ	NOUN
ejpam-6274	647	30			NOUN
ejpam-6274	647	31	(	(	PUNCT
ejpam-6274	647	32	x	x	X
ejpam-6274	647	33	)	)	PUNCT
ejpam-6274	647	34	=	=	SYM
ejpam-6274	648	1	∑	∑	PUNCT
ejpam-6274	648	2	k∈l+n0	k∈l+n0	ADJ
ejpam-6274	648	3	2(l−k)(nr−n+rs)2krsm	2(l−k)(nr−n+rs)2krsm	PROPN
ejpam-6274	648	4	(∫	(∫	ADP
ejpam-6274	648	5	2	2	NUM
ejpam-6274	648	6	1	1	NUM
ejpam-6274	648	7	∫	∫	NOUN
ejpam-6274	648	8	|z|<2−kt	|z|<2−kt	PROPN
ejpam-6274	648	9	|((φk)t	|((φk)t	X
ejpam-6274	648	10	∗	∗	VERB
ejpam-6274	648	11	g	g	NOUN
ejpam-6274	648	12	)	)	PUNCT
ejpam-6274	648	13	(	(	PUNCT
ejpam-6274	648	14	z	z	NOUN
ejpam-6274	648	15	+	+	CCONJ
ejpam-6274	648	16	·	·	PUNCT
ejpam-6274	648	17	)	)	PUNCT
ejpam-6274	648	18	|κ	|κ	ADV
ejpam-6274	648	19	dz	dz	PROPN
ejpam-6274	648	20	dt	dt	X
ejpam-6274	648	21	tn+1	tn+1	NUM
ejpam-6274	648	22	)	)	PUNCT
ejpam-6274	648	23	r	r	X
ejpam-6274	648	24	/	/	SYM
ejpam-6274	648	25	κ	κ	NOUN
ejpam-6274	648	26			NOUN
ejpam-6274	648	27	(	(	PUNCT
ejpam-6274	648	28	x	x	NOUN
ejpam-6274	648	29	)	)	PUNCT
ejpam-6274	648	30	.	.	PUNCT
ejpam-6274	649	1	it	it	PRON
ejpam-6274	649	2	is	be	AUX
ejpam-6274	649	3	simple	simple	ADJ
ejpam-6274	649	4	to	to	PART
ejpam-6274	649	5	note	note	VERB
ejpam-6274	649	6	that	that	SCONJ
ejpam-6274	649	7	∥g∥(3	∥g∥(3	PROPN
ejpam-6274	649	8	)	)	PUNCT
ejpam-6274	650	1	mk̇	mk̇	NOUN
ejpam-6274	650	2	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	650	3	λ	λ	NOUN
ejpam-6274	650	4	,	,	PUNCT
ejpam-6274	650	5	p	p	X
ejpam-6274	650	6	(	(	PUNCT
ejpam-6274	650	7	·	·	PUNCT
ejpam-6274	650	8	)	)	PUNCT
ejpam-6274	650	9	f	f	PROPN
ejpam-6274	650	10	s	s	NOUN
ejpam-6274	650	11	κ	κ	ADP
ejpam-6274	650	12	≲	≲	PROPN
ejpam-6274	650	13	∥g∥(2	∥g∥(2	PROPN
ejpam-6274	650	14	)	)	PUNCT
ejpam-6274	650	15	mk̇	mk̇	NOUN
ejpam-6274	650	16	η(·),q),θ	η(·),q),θ	NOUN
ejpam-6274	650	17	λ	λ	NOUN
ejpam-6274	650	18	,	,	PUNCT
ejpam-6274	650	19	p	p	X
ejpam-6274	650	20	(	(	PUNCT
ejpam-6274	650	21	·	·	PUNCT
ejpam-6274	650	22	)	)	PUNCT
ejpam-6274	651	1	f	f	PROPN
ejpam-6274	651	2	s	s	PROPN
ejpam-6274	651	3	κ	κ	X
ejpam-6274	651	4	,	,	PUNCT
ejpam-6274	651	5	since	since	SCONJ
ejpam-6274	651	6	for	for	ADP
ejpam-6274	651	7	any	any	DET
ejpam-6274	651	8	t	t	NOUN
ejpam-6274	651	9	>	>	X
ejpam-6274	651	10	0	0	NUM
ejpam-6274	651	11	1	1	NUM
ejpam-6274	651	12	tn	tn	NOUN
ejpam-6274	651	13	∫	∫	PROPN
ejpam-6274	651	14	|z|<t	|z|<t	NOUN
ejpam-6274	651	15	|(φt	|(φt	ADP
ejpam-6274	651	16	∗	∗	NOUN
ejpam-6274	651	17	g	g	NOUN
ejpam-6274	651	18	)	)	PUNCT
ejpam-6274	651	19	(	(	PUNCT
ejpam-6274	651	20	x+	x+	X
ejpam-6274	651	21	z)|dz	z)|dz	PROPN
ejpam-6274	651	22	≲	≲	PROPN
ejpam-6274	651	23	sup	sup	NOUN
ejpam-6274	651	24	|z|<t	|z|<t	PROPN
ejpam-6274	651	25	|(φt	|(φt	ADP
ejpam-6274	651	26	∗	∗	NOUN
ejpam-6274	651	27	g	g	NOUN
ejpam-6274	651	28	)	)	PUNCT
ejpam-6274	651	29	(	(	PUNCT
ejpam-6274	651	30	x+	x+	X
ejpam-6274	651	31	z)|	z)|	X
ejpam-6274	651	32	(	(	PUNCT
ejpam-6274	651	33	1	1	NUM
ejpam-6274	651	34	+	+	SYM
ejpam-6274	651	35	1	1	NUM
ejpam-6274	651	36	/	/	SYM
ejpam-6274	651	37	t|z|)a	t|z|)a	PRON
ejpam-6274	651	38	≲	≲	PROPN
ejpam-6274	651	39	(	(	PUNCT
ejpam-6274	651	40	φ∗	φ∗	NOUN
ejpam-6274	651	41	t	t	NOUN
ejpam-6274	651	42	g)a	g)a	VERB
ejpam-6274	651	43	(	(	PUNCT
ejpam-6274	651	44	x	x	NOUN
ejpam-6274	651	45	)	)	PUNCT
ejpam-6274	651	46	.	.	PUNCT
ejpam-6274	652	1	hence	hence	ADV
ejpam-6274	652	2	,	,	PUNCT
ejpam-6274	652	3	we	we	PRON
ejpam-6274	652	4	complete	complete	VERB
ejpam-6274	652	5	the	the	DET
ejpam-6274	652	6	proof	proof	NOUN
ejpam-6274	652	7	.	.	PUNCT
ejpam-6274	653	1	4	4	X
ejpam-6274	653	2	.	.	X
ejpam-6274	653	3	conclusion	conclusion	NOUN
ejpam-6274	653	4	in	in	ADP
ejpam-6274	653	5	this	this	DET
ejpam-6274	653	6	paper	paper	NOUN
ejpam-6274	653	7	,	,	PUNCT
ejpam-6274	653	8	we	we	PRON
ejpam-6274	653	9	proved	prove	VERB
ejpam-6274	653	10	the	the	DET
ejpam-6274	653	11	boundedness	boundedness	NOUN
ejpam-6274	653	12	results	result	NOUN
ejpam-6274	653	13	for	for	ADP
ejpam-6274	653	14	vector	vector	NOUN
ejpam-6274	653	15	-	-	PUNCT
ejpam-6274	653	16	valued	value	VERB
ejpam-6274	653	17	sublinear	sublinear	NOUN
ejpam-6274	653	18	operators	operator	NOUN
ejpam-6274	653	19	on	on	ADP
ejpam-6274	653	20	grand	grand	ADJ
ejpam-6274	653	21	variable	variable	ADJ
ejpam-6274	653	22	herz	herz	ADJ
ejpam-6274	653	23	-	-	PUNCT
ejpam-6274	653	24	morrey	morrey	PROPN
ejpam-6274	653	25	spaces	space	NOUN
ejpam-6274	653	26	.	.	PUNCT
ejpam-6274	654	1	then	then	ADV
ejpam-6274	654	2	we	we	PRON
ejpam-6274	654	3	define	define	VERB
ejpam-6274	654	4	the	the	DET
ejpam-6274	654	5	idea	idea	NOUN
ejpam-6274	654	6	of	of	ADP
ejpam-6274	654	7	grand	grand	ADJ
ejpam-6274	654	8	variable	variable	ADJ
ejpam-6274	654	9	herzmorrey	herzmorrey	NOUN
ejpam-6274	654	10	type	type	NOUN
ejpam-6274	654	11	besov	besov	NOUN
ejpam-6274	654	12	and	and	CCONJ
ejpam-6274	654	13	triebel	triebel	NOUN
ejpam-6274	654	14	-	-	PUNCT
ejpam-6274	654	15	lizorkin	lizorkin	NOUN
ejpam-6274	654	16	spaces	space	NOUN
ejpam-6274	654	17	and	and	CCONJ
ejpam-6274	654	18	proved	prove	VERB
ejpam-6274	654	19	equivalent	equivalent	ADJ
ejpam-6274	654	20	quasi	quasi	NOUN
ejpam-6274	654	21	-	-	NOUN
ejpam-6274	654	22	norms	norm	NOUN
ejpam-6274	654	23	by	by	ADP
ejpam-6274	654	24	peetre	peetre	NOUN
ejpam-6274	654	25	’s	’s	PART
ejpam-6274	654	26	maximal	maximal	ADJ
ejpam-6274	654	27	operators	operator	NOUN
ejpam-6274	654	28	in	in	ADP
ejpam-6274	654	29	these	these	DET
ejpam-6274	654	30	spaces	space	NOUN
ejpam-6274	654	31	under	under	ADP
ejpam-6274	654	32	some	some	DET
ejpam-6274	654	33	proper	proper	ADJ
ejpam-6274	654	34	assumptions	assumption	NOUN
ejpam-6274	654	35	.	.	PUNCT
ejpam-6274	655	1	5	5	X
ejpam-6274	655	2	.	.	PUNCT
ejpam-6274	655	3	ethics	ethic	NOUN
ejpam-6274	655	4	declarations	declaration	NOUN
ejpam-6274	655	5	conflict	conflict	NOUN
ejpam-6274	655	6	of	of	ADP
ejpam-6274	655	7	interest	interest	NOUN
ejpam-6274	655	8	the	the	DET
ejpam-6274	655	9	authors	author	NOUN
ejpam-6274	655	10	declare	declare	VERB
ejpam-6274	655	11	that	that	SCONJ
ejpam-6274	655	12	they	they	PRON
ejpam-6274	655	13	have	have	VERB
ejpam-6274	655	14	no	no	DET
ejpam-6274	655	15	known	know	VERB
ejpam-6274	655	16	competing	compete	VERB
ejpam-6274	655	17	financial	financial	ADJ
ejpam-6274	655	18	interests	interest	NOUN
ejpam-6274	655	19	or	or	CCONJ
ejpam-6274	655	20	personal	personal	ADJ
ejpam-6274	655	21	relationships	relationship	NOUN
ejpam-6274	655	22	that	that	PRON
ejpam-6274	655	23	could	could	AUX
ejpam-6274	655	24	have	have	AUX
ejpam-6274	655	25	appeared	appear	VERB
ejpam-6274	655	26	to	to	PART
ejpam-6274	655	27	influence	influence	VERB
ejpam-6274	655	28	the	the	DET
ejpam-6274	655	29	work	work	NOUN
ejpam-6274	655	30	reported	report	VERB
ejpam-6274	655	31	in	in	ADP
ejpam-6274	655	32	this	this	DET
ejpam-6274	655	33	paper	paper	NOUN
ejpam-6274	655	34	.	.	PUNCT
ejpam-6274	656	1	references	reference	NOUN
ejpam-6274	656	2	[	[	X
ejpam-6274	656	3	1	1	NUM
ejpam-6274	656	4	]	]	PUNCT
ejpam-6274	656	5	d.	d.	PROPN
ejpam-6274	656	6	cruz	cruz	PROPN
ejpam-6274	656	7	-	-	PUNCT
ejpam-6274	656	8	uribe	uribe	PROPN
ejpam-6274	656	9	,	,	PUNCT
ejpam-6274	656	10	a.	a.	NOUN
ejpam-6274	656	11	fiorenza	fiorenza	PROPN
ejpam-6274	656	12	,	,	PUNCT
ejpam-6274	656	13	c.	c.	PROPN
ejpam-6274	656	14	martell	martell	PROPN
ejpam-6274	656	15	,	,	PUNCT
ejpam-6274	656	16	and	and	CCONJ
ejpam-6274	656	17	c.	c.	PROPN
ejpam-6274	656	18	pérez	pérez	PROPN
ejpam-6274	656	19	.	.	PUNCT
ejpam-6274	657	1	the	the	DET
ejpam-6274	657	2	boundedness	boundedness	NOUN
ejpam-6274	657	3	of	of	ADP
ejpam-6274	657	4	classical	classical	ADJ
ejpam-6274	657	5	operators	operator	NOUN
ejpam-6274	657	6	on	on	ADP
ejpam-6274	657	7	variable	variable	ADJ
ejpam-6274	657	8	lp	lp	NOUN
ejpam-6274	657	9	spaces	space	NOUN
ejpam-6274	657	10	.	.	PUNCT
ejpam-6274	658	1	annales	annale	NOUN
ejpam-6274	658	2	academiae	academiae	PROPN
ejpam-6274	658	3	scientiarum	scientiarum	PROPN
ejpam-6274	658	4	fennicae	fennicae	PROPN
ejpam-6274	658	5	mathematica	mathematica	PROPN
ejpam-6274	658	6	,	,	PUNCT
ejpam-6274	658	7	31(1):239–264	31(1):239–264	PROPN
ejpam-6274	658	8	,	,	PUNCT
ejpam-6274	658	9	2006	2006	NUM
ejpam-6274	658	10	.	.	PUNCT
ejpam-6274	659	1	[	[	X
ejpam-6274	659	2	2	2	NUM
ejpam-6274	659	3	]	]	X
ejpam-6274	659	4	d.	d.	PROPN
ejpam-6274	659	5	cruz	cruz	PROPN
ejpam-6274	659	6	-	-	PUNCT
ejpam-6274	659	7	uribe	uribe	PROPN
ejpam-6274	659	8	,	,	PUNCT
ejpam-6274	659	9	a.	a.	NOUN
ejpam-6274	659	10	fiorenza	fiorenza	PROPN
ejpam-6274	659	11	,	,	PUNCT
ejpam-6274	659	12	and	and	CCONJ
ejpam-6274	659	13	c.	c.	PROPN
ejpam-6274	659	14	neugebauer	neugebauer	PROPN
ejpam-6274	659	15	.	.	PUNCT
ejpam-6274	660	1	the	the	DET
ejpam-6274	660	2	maximal	maximal	ADJ
ejpam-6274	660	3	function	function	NOUN
ejpam-6274	660	4	on	on	ADP
ejpam-6274	660	5	variable	variable	ADJ
ejpam-6274	660	6	lp	lp	NOUN
ejpam-6274	660	7	spaces	space	NOUN
ejpam-6274	660	8	.	.	PUNCT
ejpam-6274	661	1	annales	annale	NOUN
ejpam-6274	661	2	academiae	academiae	PROPN
ejpam-6274	661	3	scientiarum	scientiarum	PROPN
ejpam-6274	661	4	fennicae	fennicae	PROPN
ejpam-6274	661	5	mathematica	mathematica	PROPN
ejpam-6274	661	6	,	,	PUNCT
ejpam-6274	661	7	28(1):223–238	28(1):223–238	PROPN
ejpam-6274	661	8	,	,	PUNCT
ejpam-6274	661	9	2003	2003	NUM
ejpam-6274	661	10	.	.	PUNCT
ejpam-6274	662	1	m.	m.	PROPN
ejpam-6274	662	2	sultan	sultan	PROPN
ejpam-6274	662	3	,	,	PUNCT
ejpam-6274	662	4	b.	b.	PROPN
ejpam-6274	662	5	sultan	sultan	PROPN
ejpam-6274	662	6	,	,	PUNCT
ejpam-6274	662	7	i	i	PROPN
ejpam-6274	662	8	-	-	PUNCT
ejpam-6274	662	9	l.	l.	PROPN
ejpam-6274	662	10	popa	popa	PROPN
ejpam-6274	662	11	/	/	SYM
ejpam-6274	662	12	eur	eur	PROPN
ejpam-6274	662	13	.	.	PUNCT
ejpam-6274	663	1	j.	j.	PROPN
ejpam-6274	663	2	pure	pure	PROPN
ejpam-6274	663	3	appl	appl	PROPN
ejpam-6274	663	4	.	.	PROPN
ejpam-6274	663	5	math	math	PROPN
ejpam-6274	663	6	,	,	PUNCT
ejpam-6274	663	7	18	18	NUM
ejpam-6274	663	8	(	(	PUNCT
ejpam-6274	663	9	3	3	NUM
ejpam-6274	663	10	)	)	PUNCT
ejpam-6274	663	11	(	(	PUNCT
ejpam-6274	663	12	2025	2025	NUM
ejpam-6274	663	13	)	)	PUNCT
ejpam-6274	663	14	,	,	PUNCT
ejpam-6274	663	15	6274	6274	NUM
ejpam-6274	663	16	30	30	NUM
ejpam-6274	663	17	of	of	ADP
ejpam-6274	663	18	33	33	NUM
ejpam-6274	664	1	[	[	SYM
ejpam-6274	664	2	3	3	NUM
ejpam-6274	664	3	]	]	X
ejpam-6274	664	4	l.	l.	PROPN
ejpam-6274	664	5	diening	diening	PROPN
ejpam-6274	664	6	,	,	PUNCT
ejpam-6274	664	7	p.	p.	PROPN
ejpam-6274	664	8	harjulehto	harjulehto	PROPN
ejpam-6274	664	9	,	,	PUNCT
ejpam-6274	664	10	p.	p.	NOUN
ejpam-6274	664	11	hästö	hästö	PROPN
ejpam-6274	664	12	,	,	PUNCT
ejpam-6274	664	13	and	and	CCONJ
ejpam-6274	664	14	m.	m.	PROPN
ejpam-6274	664	15	ruzicka	ruzicka	PROPN
ejpam-6274	664	16	.	.	PUNCT
ejpam-6274	665	1	lebesgue	lebesgue	PROPN
ejpam-6274	665	2	and	and	CCONJ
ejpam-6274	665	3	sobolev	sobolev	NOUN
ejpam-6274	665	4	spaces	space	NOUN
ejpam-6274	665	5	with	with	ADP
ejpam-6274	665	6	variable	variable	ADJ
ejpam-6274	665	7	exponents	exponent	NOUN
ejpam-6274	665	8	.	.	PUNCT
ejpam-6274	666	1	springer	springer	NOUN
ejpam-6274	666	2	,	,	PUNCT
ejpam-6274	666	3	berlin	berlin	PROPN
ejpam-6274	666	4	,	,	PUNCT
ejpam-6274	666	5	2011	2011	NUM
ejpam-6274	666	6	.	.	PUNCT
ejpam-6274	667	1	[	[	X
ejpam-6274	667	2	4	4	NUM
ejpam-6274	667	3	]	]	PUNCT
ejpam-6274	667	4	a.	a.	NOUN
ejpam-6274	667	5	nekvinda	nekvinda	PROPN
ejpam-6274	667	6	.	.	PUNCT
ejpam-6274	668	1	hardy	hardy	ADJ
ejpam-6274	668	2	-	-	PUNCT
ejpam-6274	668	3	littlewood	littlewood	NOUN
ejpam-6274	668	4	maximal	maximal	ADJ
ejpam-6274	668	5	operator	operator	NOUN
ejpam-6274	668	6	on	on	ADP
ejpam-6274	668	7	lp(x	lp(x	NOUN
ejpam-6274	668	8	)	)	PUNCT
ejpam-6274	668	9	.	.	PUNCT
ejpam-6274	669	1	mathematical	mathematical	ADJ
ejpam-6274	669	2	inequalities	inequality	NOUN
ejpam-6274	669	3	and	and	CCONJ
ejpam-6274	669	4	applications	application	NOUN
ejpam-6274	669	5	,	,	PUNCT
ejpam-6274	669	6	7(2):255–265	7(2):255–265	NOUN
ejpam-6274	669	7	,	,	PUNCT
ejpam-6274	669	8	2004	2004	NUM
ejpam-6274	669	9	.	.	PUNCT
ejpam-6274	670	1	[	[	X
ejpam-6274	670	2	5	5	NUM
ejpam-6274	670	3	]	]	PUNCT
ejpam-6274	670	4	a.	a.	PROPN
ejpam-6274	670	5	almeida	almeida	PROPN
ejpam-6274	670	6	and	and	CCONJ
ejpam-6274	670	7	d.	d.	PROPN
ejpam-6274	670	8	drihem	drihem	PROPN
ejpam-6274	670	9	.	.	PUNCT
ejpam-6274	671	1	maximal	maximal	ADJ
ejpam-6274	671	2	,	,	PUNCT
ejpam-6274	671	3	potential	potential	ADJ
ejpam-6274	671	4	and	and	CCONJ
ejpam-6274	671	5	singular	singular	ADJ
ejpam-6274	671	6	type	type	NOUN
ejpam-6274	671	7	operators	operator	NOUN
ejpam-6274	671	8	on	on	ADP
ejpam-6274	671	9	herz	herz	PROPN
ejpam-6274	671	10	spaces	space	NOUN
ejpam-6274	671	11	with	with	ADP
ejpam-6274	671	12	variable	variable	ADJ
ejpam-6274	671	13	exponents	exponent	NOUN
ejpam-6274	671	14	.	.	PUNCT
ejpam-6274	672	1	journal	journal	NOUN
ejpam-6274	672	2	of	of	ADP
ejpam-6274	672	3	mathematical	mathematical	ADJ
ejpam-6274	672	4	analysis	analysis	NOUN
ejpam-6274	672	5	and	and	CCONJ
ejpam-6274	672	6	applications	application	NOUN
ejpam-6274	672	7	,	,	PUNCT
ejpam-6274	672	8	394(2):781–795	394(2):781–795	NUM
ejpam-6274	672	9	,	,	PUNCT
ejpam-6274	672	10	2012	2012	NUM
ejpam-6274	672	11	.	.	PUNCT
ejpam-6274	673	1	[	[	X
ejpam-6274	673	2	6	6	NUM
ejpam-6274	673	3	]	]	PUNCT
ejpam-6274	673	4	a.	a.	PROPN
ejpam-6274	673	5	almeida	almeida	PROPN
ejpam-6274	673	6	,	,	PUNCT
ejpam-6274	673	7	j.	j.	PROPN
ejpam-6274	673	8	hasanov	hasanov	PROPN
ejpam-6274	673	9	,	,	PUNCT
ejpam-6274	673	10	and	and	CCONJ
ejpam-6274	673	11	s.	s.	PROPN
ejpam-6274	673	12	samko	samko	PROPN
ejpam-6274	673	13	.	.	PUNCT
ejpam-6274	674	1	maximal	maximal	ADJ
ejpam-6274	674	2	and	and	CCONJ
ejpam-6274	674	3	potential	potential	ADJ
ejpam-6274	674	4	operators	operator	NOUN
ejpam-6274	674	5	in	in	ADP
ejpam-6274	674	6	variable	variable	ADJ
ejpam-6274	674	7	exponent	exponent	NOUN
ejpam-6274	674	8	morrey	morrey	PROPN
ejpam-6274	674	9	spaces	space	VERB
ejpam-6274	674	10	.	.	PUNCT
ejpam-6274	675	1	georgian	georgian	PROPN
ejpam-6274	675	2	mathematical	mathematical	PROPN
ejpam-6274	675	3	journal	journal	PROPN
ejpam-6274	675	4	,	,	PUNCT
ejpam-6274	675	5	15(2):195–208	15(2):195–208	NUM
ejpam-6274	675	6	,	,	PUNCT
ejpam-6274	675	7	2008	2008	NUM
ejpam-6274	675	8	.	.	PUNCT
ejpam-6274	676	1	[	[	X
ejpam-6274	676	2	7	7	X
ejpam-6274	676	3	]	]	PUNCT
ejpam-6274	676	4	a.	a.	NOUN
ejpam-6274	676	5	almeida	almeida	PROPN
ejpam-6274	676	6	and	and	CCONJ
ejpam-6274	676	7	p.	p.	PROPN
ejpam-6274	676	8	hästö.	hästö.	PROPN
ejpam-6274	676	9	besov	besov	NOUN
ejpam-6274	676	10	spaces	space	NOUN
ejpam-6274	676	11	with	with	ADP
ejpam-6274	676	12	variable	variable	ADJ
ejpam-6274	676	13	smoothness	smoothness	NOUN
ejpam-6274	676	14	and	and	CCONJ
ejpam-6274	676	15	integrability	integrability	NOUN
ejpam-6274	676	16	.	.	PUNCT
ejpam-6274	677	1	journal	journal	PROPN
ejpam-6274	677	2	of	of	ADP
ejpam-6274	677	3	functional	functional	ADJ
ejpam-6274	677	4	analysis	analysis	NOUN
ejpam-6274	677	5	,	,	PUNCT
ejpam-6274	677	6	258(5):1628–1655	258(5):1628–1655	NOUN
ejpam-6274	677	7	,	,	PUNCT
ejpam-6274	677	8	2010	2010	NUM
ejpam-6274	677	9	.	.	PUNCT
ejpam-6274	678	1	[	[	X
ejpam-6274	678	2	8	8	NUM
ejpam-6274	678	3	]	]	X
ejpam-6274	678	4	l.	l.	PROPN
ejpam-6274	678	5	diening	diening	PROPN
ejpam-6274	678	6	,	,	PUNCT
ejpam-6274	678	7	p.	p.	NOUN
ejpam-6274	678	8	hästö	hästö	PROPN
ejpam-6274	678	9	,	,	PUNCT
ejpam-6274	678	10	and	and	CCONJ
ejpam-6274	678	11	s.	s.	PROPN
ejpam-6274	678	12	roudenko	roudenko	PROPN
ejpam-6274	678	13	.	.	PUNCT
ejpam-6274	679	1	function	function	NOUN
ejpam-6274	679	2	spaces	space	NOUN
ejpam-6274	679	3	of	of	ADP
ejpam-6274	679	4	variable	variable	ADJ
ejpam-6274	679	5	smoothness	smoothness	NOUN
ejpam-6274	679	6	and	and	CCONJ
ejpam-6274	679	7	integrability	integrability	NOUN
ejpam-6274	679	8	.	.	PUNCT
ejpam-6274	680	1	journal	journal	PROPN
ejpam-6274	680	2	of	of	ADP
ejpam-6274	680	3	functional	functional	ADJ
ejpam-6274	680	4	analysis	analysis	NOUN
ejpam-6274	680	5	,	,	PUNCT
ejpam-6274	680	6	256(6):1731–1768	256(6):1731–1768	NOUN
ejpam-6274	680	7	,	,	PUNCT
ejpam-6274	680	8	2009	2009	NUM
ejpam-6274	680	9	.	.	PUNCT
ejpam-6274	681	1	[	[	X
ejpam-6274	681	2	9	9	X
ejpam-6274	681	3	]	]	X
ejpam-6274	681	4	j.	j.	PROPN
ejpam-6274	681	5	fu	fu	PROPN
ejpam-6274	681	6	and	and	CCONJ
ejpam-6274	681	7	j.	j.	PROPN
ejpam-6274	681	8	xu	xu	PROPN
ejpam-6274	681	9	.	.	PUNCT
ejpam-6274	682	1	characterizations	characterization	NOUN
ejpam-6274	682	2	of	of	ADP
ejpam-6274	682	3	morrey	morrey	PROPN
ejpam-6274	682	4	type	type	NOUN
ejpam-6274	682	5	besov	besov	NOUN
ejpam-6274	682	6	and	and	CCONJ
ejpam-6274	682	7	triebel	triebel	NOUN
ejpam-6274	682	8	-	-	PUNCT
ejpam-6274	682	9	lizorkin	lizorkin	NOUN
ejpam-6274	682	10	spaces	space	NOUN
ejpam-6274	682	11	with	with	ADP
ejpam-6274	682	12	variable	variable	ADJ
ejpam-6274	682	13	exponents	exponent	NOUN
ejpam-6274	682	14	.	.	PUNCT
ejpam-6274	683	1	journal	journal	NOUN
ejpam-6274	683	2	of	of	ADP
ejpam-6274	683	3	mathematical	mathematical	ADJ
ejpam-6274	683	4	analysis	analysis	NOUN
ejpam-6274	683	5	and	and	CCONJ
ejpam-6274	683	6	applications	application	NOUN
ejpam-6274	683	7	,	,	PUNCT
ejpam-6274	683	8	381(1):280–298	381(1):280–298	NUM
ejpam-6274	683	9	,	,	PUNCT
ejpam-6274	683	10	2011	2011	NUM
ejpam-6274	683	11	.	.	PUNCT
ejpam-6274	684	1	[	[	X
ejpam-6274	684	2	10	10	NUM
ejpam-6274	684	3	]	]	X
ejpam-6274	684	4	p.	p.	NOUN
ejpam-6274	684	5	a.	a.	NOUN
ejpam-6274	684	6	hästö.	hästö.	PROPN
ejpam-6274	684	7	local	local	ADJ
ejpam-6274	684	8	-	-	PUNCT
ejpam-6274	684	9	to	to	ADP
ejpam-6274	684	10	-	-	PUNCT
ejpam-6274	684	11	global	global	ADJ
ejpam-6274	684	12	results	result	NOUN
ejpam-6274	684	13	in	in	ADP
ejpam-6274	684	14	variable	variable	ADJ
ejpam-6274	684	15	exponent	exponent	NOUN
ejpam-6274	684	16	spaces	space	NOUN
ejpam-6274	684	17	.	.	PUNCT
ejpam-6274	685	1	mathematical	mathematical	ADJ
ejpam-6274	685	2	research	research	NOUN
ejpam-6274	685	3	letters	letter	NOUN
ejpam-6274	685	4	,	,	PUNCT
ejpam-6274	685	5	16(2):263–278	16(2):263–278	NUM
ejpam-6274	685	6	,	,	PUNCT
ejpam-6274	685	7	2009	2009	NUM
ejpam-6274	685	8	.	.	PUNCT
ejpam-6274	686	1	[	[	X
ejpam-6274	686	2	11	11	NUM
ejpam-6274	686	3	]	]	PUNCT
ejpam-6274	686	4	k.	k.	PROPN
ejpam-6274	687	1	p.	p.	PROPN
ejpam-6274	687	2	ho	ho	PROPN
ejpam-6274	687	3	.	.	PROPN
ejpam-6274	687	4	vector	vector	NOUN
ejpam-6274	687	5	-	-	PUNCT
ejpam-6274	687	6	valued	value	VERB
ejpam-6274	687	7	singular	singular	ADJ
ejpam-6274	687	8	integral	integral	ADJ
ejpam-6274	687	9	operators	operator	NOUN
ejpam-6274	687	10	on	on	ADP
ejpam-6274	687	11	morrey	morrey	NOUN
ejpam-6274	687	12	type	type	NOUN
ejpam-6274	687	13	spaces	space	NOUN
ejpam-6274	687	14	and	and	CCONJ
ejpam-6274	687	15	variable	variable	ADJ
ejpam-6274	687	16	triebel	triebel	NOUN
ejpam-6274	687	17	-	-	PUNCT
ejpam-6274	687	18	lizorkin	lizorkin	NOUN
ejpam-6274	687	19	-	-	PUNCT
ejpam-6274	687	20	morrey	morrey	NOUN
ejpam-6274	687	21	spaces	space	NOUN
ejpam-6274	687	22	.	.	PUNCT
ejpam-6274	688	1	annales	annales	PROPN
ejpam-6274	688	2	academiae	academiae	PROPN
ejpam-6274	688	3	scientiarum	scientiarum	PROPN
ejpam-6274	688	4	fennicae	fennicae	PROPN
ejpam-6274	688	5	mathematica	mathematica	PROPN
ejpam-6274	688	6	,	,	PUNCT
ejpam-6274	688	7	37(1):375–406	37(1):375–406	PROPN
ejpam-6274	688	8	,	,	PUNCT
ejpam-6274	688	9	2012	2012	NUM
ejpam-6274	688	10	.	.	PUNCT
ejpam-6274	689	1	[	[	X
ejpam-6274	689	2	12	12	NUM
ejpam-6274	689	3	]	]	PUNCT
ejpam-6274	689	4	m.	m.	NOUN
ejpam-6274	689	5	izuki	izuki	PROPN
ejpam-6274	689	6	.	.	PUNCT
ejpam-6274	689	7	fractional	fractional	ADJ
ejpam-6274	689	8	integrals	integral	NOUN
ejpam-6274	689	9	on	on	ADP
ejpam-6274	689	10	herz	herz	ADJ
ejpam-6274	689	11	-	-	PUNCT
ejpam-6274	689	12	morrey	morrey	PROPN
ejpam-6274	689	13	spaces	space	NOUN
ejpam-6274	689	14	with	with	ADP
ejpam-6274	689	15	variable	variable	ADJ
ejpam-6274	689	16	exponent	exponent	NOUN
ejpam-6274	689	17	.	.	PUNCT
ejpam-6274	690	1	hiroshima	hiroshima	PROPN
ejpam-6274	690	2	mathematical	mathematical	PROPN
ejpam-6274	690	3	journal	journal	PROPN
ejpam-6274	690	4	,	,	PUNCT
ejpam-6274	690	5	40(3):343–355	40(3):343–355	PROPN
ejpam-6274	690	6	,	,	PUNCT
ejpam-6274	690	7	2010	2010	NUM
ejpam-6274	690	8	.	.	PUNCT
ejpam-6274	691	1	[	[	X
ejpam-6274	691	2	13	13	NUM
ejpam-6274	691	3	]	]	X
ejpam-6274	691	4	h.	h.	PROPN
ejpam-6274	691	5	kempka	kempka	PROPN
ejpam-6274	691	6	.	.	PUNCT
ejpam-6274	692	1	2	2	NUM
ejpam-6274	692	2	-	-	PUNCT
ejpam-6274	692	3	microlocal	microlocal	ADJ
ejpam-6274	692	4	besov	besov	NOUN
ejpam-6274	692	5	and	and	CCONJ
ejpam-6274	692	6	triebel	triebel	NOUN
ejpam-6274	692	7	-	-	PUNCT
ejpam-6274	692	8	lizorkin	lizorkin	NOUN
ejpam-6274	692	9	spaces	space	NOUN
ejpam-6274	692	10	of	of	ADP
ejpam-6274	692	11	variable	variable	ADJ
ejpam-6274	692	12	integrability	integrability	NOUN
ejpam-6274	692	13	.	.	PUNCT
ejpam-6274	693	1	revista	revista	PROPN
ejpam-6274	693	2	matemática	matemática	PROPN
ejpam-6274	693	3	complutense	complutense	NOUN
ejpam-6274	693	4	,	,	PUNCT
ejpam-6274	693	5	22(1):227–251	22(1):227–251	PROPN
ejpam-6274	693	6	,	,	PUNCT
ejpam-6274	693	7	2009	2009	NUM
ejpam-6274	693	8	.	.	PUNCT
ejpam-6274	694	1	[	[	X
ejpam-6274	694	2	14	14	NUM
ejpam-6274	694	3	]	]	X
ejpam-6274	694	4	h.	h.	PROPN
ejpam-6274	694	5	kempka	kempka	PROPN
ejpam-6274	694	6	.	.	PUNCT
ejpam-6274	695	1	atomic	atomic	ADJ
ejpam-6274	695	2	,	,	PUNCT
ejpam-6274	695	3	molecular	molecular	ADJ
ejpam-6274	695	4	and	and	CCONJ
ejpam-6274	695	5	wavelet	wavelet	NOUN
ejpam-6274	695	6	decomposition	decomposition	NOUN
ejpam-6274	695	7	of	of	ADP
ejpam-6274	695	8	generalized	generalized	ADJ
ejpam-6274	695	9	2	2	NUM
ejpam-6274	695	10	-	-	PUNCT
ejpam-6274	695	11	microlocal	microlocal	ADJ
ejpam-6274	695	12	besov	besov	NOUN
ejpam-6274	695	13	spaces	space	NOUN
ejpam-6274	695	14	.	.	PUNCT
ejpam-6274	696	1	journal	journal	NOUN
ejpam-6274	696	2	of	of	ADP
ejpam-6274	696	3	function	function	NOUN
ejpam-6274	696	4	spaces	space	NOUN
ejpam-6274	696	5	and	and	CCONJ
ejpam-6274	696	6	applications	application	NOUN
ejpam-6274	696	7	,	,	PUNCT
ejpam-6274	696	8	8(2):129–165	8(2):129–165	NUM
ejpam-6274	696	9	,	,	PUNCT
ejpam-6274	696	10	2010	2010	NUM
ejpam-6274	696	11	.	.	PUNCT
ejpam-6274	697	1	[	[	X
ejpam-6274	697	2	15	15	NUM
ejpam-6274	697	3	]	]	X
ejpam-6274	697	4	e.	e.	PROPN
ejpam-6274	697	5	nakai	nakai	PROPN
ejpam-6274	697	6	and	and	CCONJ
ejpam-6274	697	7	y.	y.	PROPN
ejpam-6274	697	8	sawano	sawano	PROPN
ejpam-6274	697	9	.	.	PUNCT
ejpam-6274	698	1	hardy	hardy	ADJ
ejpam-6274	698	2	spaces	space	NOUN
ejpam-6274	698	3	with	with	ADP
ejpam-6274	698	4	variable	variable	ADJ
ejpam-6274	698	5	exponents	exponent	NOUN
ejpam-6274	698	6	and	and	CCONJ
ejpam-6274	698	7	generalized	generalized	ADJ
ejpam-6274	698	8	campanato	campanato	NOUN
ejpam-6274	698	9	spaces	space	NOUN
ejpam-6274	698	10	.	.	PUNCT
ejpam-6274	699	1	journal	journal	NOUN
ejpam-6274	699	2	of	of	ADP
ejpam-6274	699	3	functional	functional	ADJ
ejpam-6274	699	4	analysis	analysis	NOUN
ejpam-6274	699	5	,	,	PUNCT
ejpam-6274	699	6	262(9):3665–3748	262(9):3665–3748	NOUN
ejpam-6274	699	7	,	,	PUNCT
ejpam-6274	699	8	2012	2012	NUM
ejpam-6274	699	9	.	.	PUNCT
ejpam-6274	700	1	[	[	X
ejpam-6274	700	2	16	16	NUM
ejpam-6274	700	3	]	]	PUNCT
ejpam-6274	700	4	m.	m.	NOUN
ejpam-6274	700	5	a.	a.	PROPN
ejpam-6274	700	6	ragusa	ragusa	PROPN
ejpam-6274	700	7	.	.	PUNCT
ejpam-6274	701	1	embeddings	embedding	NOUN
ejpam-6274	701	2	for	for	ADP
ejpam-6274	701	3	morrey	morrey	NOUN
ejpam-6274	701	4	-	-	PUNCT
ejpam-6274	701	5	lorentz	lorentz	PROPN
ejpam-6274	701	6	spaces	space	NOUN
ejpam-6274	701	7	.	.	PUNCT
ejpam-6274	702	1	journal	journal	NOUN
ejpam-6274	702	2	of	of	ADP
ejpam-6274	702	3	optimization	optimization	NOUN
ejpam-6274	702	4	theory	theory	NOUN
ejpam-6274	702	5	and	and	CCONJ
ejpam-6274	702	6	applications	application	NOUN
ejpam-6274	702	7	,	,	PUNCT
ejpam-6274	702	8	154(2):491–499	154(2):491–499	NUM
ejpam-6274	702	9	,	,	PUNCT
ejpam-6274	702	10	2012	2012	NUM
ejpam-6274	702	11	.	.	PUNCT
ejpam-6274	703	1	[	[	X
ejpam-6274	703	2	17	17	NUM
ejpam-6274	703	3	]	]	PUNCT
ejpam-6274	703	4	s.	s.	PROPN
ejpam-6274	703	5	samko	samko	PROPN
ejpam-6274	703	6	.	.	PUNCT
ejpam-6274	704	1	variable	variable	ADJ
ejpam-6274	704	2	exponent	exponent	PROPN
ejpam-6274	704	3	herz	herz	PROPN
ejpam-6274	704	4	spaces	space	VERB
ejpam-6274	704	5	.	.	PUNCT
ejpam-6274	705	1	mediterranean	mediterranean	PROPN
ejpam-6274	705	2	journal	journal	PROPN
ejpam-6274	705	3	of	of	ADP
ejpam-6274	705	4	mathematics	mathematic	NOUN
ejpam-6274	705	5	,	,	PUNCT
ejpam-6274	705	6	10(4):2007–2025	10(4):2007–2025	NUM
ejpam-6274	705	7	,	,	PUNCT
ejpam-6274	705	8	2013	2013	NUM
ejpam-6274	705	9	.	.	PUNCT
ejpam-6274	706	1	[	[	X
ejpam-6274	706	2	18	18	NUM
ejpam-6274	706	3	]	]	X
ejpam-6274	706	4	c.	c.	PROPN
ejpam-6274	706	5	shi	shi	PROPN
ejpam-6274	706	6	and	and	CCONJ
ejpam-6274	706	7	j.	j.	PROPN
ejpam-6274	706	8	xu	xu	PROPN
ejpam-6274	706	9	.	.	PUNCT
ejpam-6274	707	1	herz	herz	PROPN
ejpam-6274	707	2	type	type	PROPN
ejpam-6274	707	3	besov	besov	NOUN
ejpam-6274	707	4	and	and	CCONJ
ejpam-6274	707	5	triebel	triebel	NOUN
ejpam-6274	707	6	-	-	PUNCT
ejpam-6274	707	7	lizorkin	lizorkin	NOUN
ejpam-6274	707	8	spaces	space	NOUN
ejpam-6274	707	9	with	with	ADP
ejpam-6274	707	10	variable	variable	ADJ
ejpam-6274	707	11	exponents	exponent	NOUN
ejpam-6274	707	12	.	.	PUNCT
ejpam-6274	708	1	frontiers	frontier	NOUN
ejpam-6274	708	2	of	of	ADP
ejpam-6274	708	3	mathematics	mathematics	PROPN
ejpam-6274	708	4	in	in	ADP
ejpam-6274	708	5	china	china	PROPN
ejpam-6274	708	6	,	,	PUNCT
ejpam-6274	708	7	8(4):907–921	8(4):907–921	NUM
ejpam-6274	708	8	,	,	PUNCT
ejpam-6274	708	9	2013	2013	NUM
ejpam-6274	708	10	.	.	PUNCT
ejpam-6274	709	1	[	[	X
ejpam-6274	709	2	19	19	NUM
ejpam-6274	709	3	]	]	PUNCT
ejpam-6274	709	4	j.	j.	PROPN
ejpam-6274	709	5	xu	xu	PROPN
ejpam-6274	709	6	.	.	PUNCT
ejpam-6274	709	7	variable	variable	ADJ
ejpam-6274	709	8	besov	besov	NOUN
ejpam-6274	709	9	spaces	space	NOUN
ejpam-6274	709	10	and	and	CCONJ
ejpam-6274	709	11	triebel	triebel	NOUN
ejpam-6274	709	12	-	-	PUNCT
ejpam-6274	709	13	lizorkin	lizorkin	NOUN
ejpam-6274	709	14	spaces	space	NOUN
ejpam-6274	709	15	.	.	PUNCT
ejpam-6274	710	1	annales	annales	PROPN
ejpam-6274	710	2	academiae	academiae	PROPN
ejpam-6274	710	3	scientiarum	scientiarum	PROPN
ejpam-6274	710	4	fennicae	fennicae	PROPN
ejpam-6274	710	5	mathematica	mathematica	PROPN
ejpam-6274	710	6	,	,	PUNCT
ejpam-6274	710	7	33(2):511–522	33(2):511–522	PROPN
ejpam-6274	710	8	,	,	PUNCT
ejpam-6274	710	9	2008	2008	NUM
ejpam-6274	710	10	.	.	PUNCT
ejpam-6274	711	1	[	[	X
ejpam-6274	711	2	20	20	NUM
ejpam-6274	711	3	]	]	PUNCT
ejpam-6274	711	4	j.	j.	PROPN
ejpam-6274	711	5	xu	xu	PROPN
ejpam-6274	711	6	.	.	PUNCT
ejpam-6274	712	1	the	the	DET
ejpam-6274	712	2	relation	relation	NOUN
ejpam-6274	712	3	between	between	ADP
ejpam-6274	712	4	variable	variable	ADJ
ejpam-6274	712	5	bessel	bessel	ADJ
ejpam-6274	712	6	potential	potential	ADJ
ejpam-6274	712	7	spaces	space	NOUN
ejpam-6274	712	8	and	and	CCONJ
ejpam-6274	712	9	triebel	triebel	NOUN
ejpam-6274	712	10	-	-	PUNCT
ejpam-6274	712	11	lizorkin	lizorkin	NOUN
ejpam-6274	712	12	spaces	space	NOUN
ejpam-6274	712	13	.	.	PUNCT
ejpam-6274	713	1	integral	integral	ADJ
ejpam-6274	713	2	transforms	transform	NOUN
ejpam-6274	713	3	and	and	CCONJ
ejpam-6274	713	4	special	special	ADJ
ejpam-6274	713	5	functions	function	NOUN
ejpam-6274	713	6	,	,	PUNCT
ejpam-6274	713	7	9(8):599–605	9(8):599–605	NOUN
ejpam-6274	713	8	,	,	PUNCT
ejpam-6274	713	9	2008	2008	NUM
ejpam-6274	713	10	.	.	PUNCT
ejpam-6274	714	1	[	[	X
ejpam-6274	714	2	21	21	NUM
ejpam-6274	714	3	]	]	PUNCT
ejpam-6274	714	4	m.	m.	NOUN
ejpam-6274	714	5	sultan	sultan	PROPN
ejpam-6274	714	6	,	,	PUNCT
ejpam-6274	714	7	b.	b.	PROPN
ejpam-6274	714	8	sultan	sultan	PROPN
ejpam-6274	714	9	,	,	PUNCT
ejpam-6274	714	10	a.	a.	NOUN
ejpam-6274	714	11	aloqaily	aloqaily	ADV
ejpam-6274	714	12	,	,	PUNCT
ejpam-6274	714	13	and	and	CCONJ
ejpam-6274	714	14	n.	n.	PROPN
ejpam-6274	714	15	mlaiki	mlaiki	PROPN
ejpam-6274	714	16	.	.	PUNCT
ejpam-6274	715	1	boundedness	boundedness	NOUN
ejpam-6274	715	2	of	of	ADP
ejpam-6274	715	3	some	some	DET
ejpam-6274	715	4	operators	operator	NOUN
ejpam-6274	715	5	on	on	ADP
ejpam-6274	715	6	grand	grand	ADJ
ejpam-6274	715	7	herz	herz	PROPN
ejpam-6274	715	8	spaces	space	NOUN
ejpam-6274	715	9	with	with	ADP
ejpam-6274	715	10	variable	variable	ADJ
ejpam-6274	715	11	exponent	exponent	NOUN
ejpam-6274	715	12	.	.	PUNCT
ejpam-6274	716	1	aims	aim	VERB
ejpam-6274	716	2	mathematics	mathematic	NOUN
ejpam-6274	716	3	,	,	PUNCT
ejpam-6274	716	4	8:12964–12985	8:12964–12985	NUM
ejpam-6274	716	5	,	,	PUNCT
ejpam-6274	716	6	2023	2023	NUM
ejpam-6274	716	7	.	.	PUNCT
ejpam-6274	717	1	[	[	X
ejpam-6274	717	2	22	22	NUM
ejpam-6274	717	3	]	]	PUNCT
ejpam-6274	717	4	b.	b.	PROPN
ejpam-6274	717	5	sultan	sultan	PROPN
ejpam-6274	717	6	,	,	PUNCT
ejpam-6274	717	7	m.	m.	NOUN
ejpam-6274	717	8	sultan	sultan	PROPN
ejpam-6274	717	9	,	,	PUNCT
ejpam-6274	717	10	and	and	CCONJ
ejpam-6274	717	11	i.	i.	PROPN
ejpam-6274	717	12	khan	khan	PROPN
ejpam-6274	717	13	.	.	PUNCT
ejpam-6274	718	1	on	on	ADP
ejpam-6274	718	2	sobolev	sobolev	PROPN
ejpam-6274	718	3	theorem	theorem	NOUN
ejpam-6274	718	4	for	for	ADP
ejpam-6274	718	5	higher	high	ADJ
ejpam-6274	718	6	commutators	commutator	NOUN
ejpam-6274	718	7	of	of	ADP
ejpam-6274	718	8	fractional	fractional	ADJ
ejpam-6274	718	9	integrals	integral	NOUN
ejpam-6274	718	10	in	in	ADP
ejpam-6274	718	11	grand	grand	ADJ
ejpam-6274	718	12	variable	variable	ADJ
ejpam-6274	718	13	herz	herz	PROPN
ejpam-6274	718	14	spaces	space	NOUN
ejpam-6274	718	15	.	.	PUNCT
ejpam-6274	719	1	communications	communication	NOUN
ejpam-6274	719	2	in	in	ADP
ejpam-6274	719	3	nonlinear	nonlinear	ADJ
ejpam-6274	719	4	m.	m.	NOUN
ejpam-6274	719	5	sultan	sultan	PROPN
ejpam-6274	719	6	,	,	PUNCT
ejpam-6274	719	7	b.	b.	PROPN
ejpam-6274	719	8	sultan	sultan	PROPN
ejpam-6274	719	9	,	,	PUNCT
ejpam-6274	719	10	i	i	PROPN
ejpam-6274	719	11	-	-	PUNCT
ejpam-6274	719	12	l.	l.	PROPN
ejpam-6274	719	13	popa	popa	PROPN
ejpam-6274	719	14	/	/	SYM
ejpam-6274	719	15	eur	eur	PROPN
ejpam-6274	719	16	.	.	PUNCT
ejpam-6274	720	1	j.	j.	PROPN
ejpam-6274	720	2	pure	pure	PROPN
ejpam-6274	720	3	appl	appl	PROPN
ejpam-6274	720	4	.	.	PROPN
ejpam-6274	720	5	math	math	PROPN
ejpam-6274	720	6	,	,	PUNCT
ejpam-6274	720	7	18	18	NUM
ejpam-6274	720	8	(	(	PUNCT
ejpam-6274	720	9	3	3	NUM
ejpam-6274	720	10	)	)	PUNCT
ejpam-6274	720	11	(	(	PUNCT
ejpam-6274	720	12	2025	2025	NUM
ejpam-6274	720	13	)	)	PUNCT
ejpam-6274	720	14	,	,	PUNCT
ejpam-6274	720	15	6274	6274	NUM
ejpam-6274	720	16	31	31	NUM
ejpam-6274	720	17	of	of	ADP
ejpam-6274	720	18	33	33	NUM
ejpam-6274	720	19	science	science	NOUN
ejpam-6274	720	20	and	and	CCONJ
ejpam-6274	720	21	numerical	numerical	PROPN
ejpam-6274	720	22	simulation	simulation	PROPN
ejpam-6274	720	23	,	,	PUNCT
ejpam-6274	720	24	126	126	NUM
ejpam-6274	720	25	,	,	PUNCT
ejpam-6274	720	26	2023	2023	NUM
ejpam-6274	720	27	.	.	PUNCT
ejpam-6274	721	1	[	[	X
ejpam-6274	721	2	23	23	NUM
ejpam-6274	721	3	]	]	PUNCT
ejpam-6274	721	4	b.	b.	PROPN
ejpam-6274	721	5	sultan	sultan	PROPN
ejpam-6274	721	6	and	and	CCONJ
ejpam-6274	721	7	m.	m.	PROPN
ejpam-6274	721	8	sultan	sultan	PROPN
ejpam-6274	721	9	.	.	PUNCT
ejpam-6274	722	1	boundedness	boundedness	NOUN
ejpam-6274	722	2	of	of	ADP
ejpam-6274	722	3	commutators	commutator	NOUN
ejpam-6274	722	4	of	of	ADP
ejpam-6274	722	5	rough	rough	ADJ
ejpam-6274	722	6	hardy	hardy	ADJ
ejpam-6274	722	7	operators	operator	NOUN
ejpam-6274	722	8	on	on	ADP
ejpam-6274	722	9	grand	grand	ADJ
ejpam-6274	722	10	variable	variable	ADJ
ejpam-6274	722	11	herz	herz	PROPN
ejpam-6274	722	12	spaces	space	NOUN
ejpam-6274	722	13	.	.	PUNCT
ejpam-6274	723	1	forum	forum	PROPN
ejpam-6274	723	2	mathematicum	mathematicum	PROPN
ejpam-6274	723	3	,	,	PUNCT
ejpam-6274	723	4	2023	2023	NUM
ejpam-6274	723	5	.	.	PUNCT
ejpam-6274	724	1	[	[	X
ejpam-6274	724	2	24	24	NUM
ejpam-6274	724	3	]	]	PUNCT
ejpam-6274	724	4	b.	b.	PROPN
ejpam-6274	724	5	sultan	sultan	PROPN
ejpam-6274	724	6	,	,	PUNCT
ejpam-6274	724	7	f.	f.	PROPN
ejpam-6274	724	8	m.	m.	PROPN
ejpam-6274	724	9	azmi	azmi	PROPN
ejpam-6274	724	10	,	,	PUNCT
ejpam-6274	724	11	m.	m.	NOUN
ejpam-6274	724	12	sultan	sultan	PROPN
ejpam-6274	724	13	,	,	PUNCT
ejpam-6274	724	14	t.	t.	PROPN
ejpam-6274	724	15	mahmood	mahmood	PROPN
ejpam-6274	724	16	,	,	PUNCT
ejpam-6274	724	17	n.	n.	PROPN
ejpam-6274	724	18	mlaiki	mlaiki	PROPN
ejpam-6274	724	19	,	,	PUNCT
ejpam-6274	724	20	and	and	CCONJ
ejpam-6274	724	21	n.	n.	NOUN
ejpam-6274	724	22	souayah	souayah	NOUN
ejpam-6274	724	23	.	.	PUNCT
ejpam-6274	725	1	boundedness	boundedness	NOUN
ejpam-6274	725	2	of	of	ADP
ejpam-6274	725	3	fractional	fractional	ADJ
ejpam-6274	725	4	integrals	integral	NOUN
ejpam-6274	725	5	on	on	ADP
ejpam-6274	725	6	grand	grand	ADJ
ejpam-6274	725	7	weighted	weight	VERB
ejpam-6274	725	8	herz	herz	PROPN
ejpam-6274	725	9	–	–	PUNCT
ejpam-6274	725	10	morrey	morrey	PROPN
ejpam-6274	725	11	spaces	space	VERB
ejpam-6274	725	12	with	with	ADP
ejpam-6274	725	13	variable	variable	ADJ
ejpam-6274	725	14	exponent	exponent	NOUN
ejpam-6274	725	15	.	.	PUNCT
ejpam-6274	726	1	fractal	fractal	PROPN
ejpam-6274	726	2	and	and	CCONJ
ejpam-6274	726	3	fractional	fractional	ADJ
ejpam-6274	726	4	,	,	PUNCT
ejpam-6274	726	5	6(11	6(11	NUM
ejpam-6274	726	6	)	)	PUNCT
ejpam-6274	726	7	,	,	PUNCT
ejpam-6274	726	8	2022	2022	NUM
ejpam-6274	726	9	.	.	PUNCT
ejpam-6274	727	1	[	[	X
ejpam-6274	727	2	25	25	NUM
ejpam-6274	727	3	]	]	PUNCT
ejpam-6274	727	4	b.	b.	PROPN
ejpam-6274	727	5	sultan	sultan	PROPN
ejpam-6274	727	6	,	,	PUNCT
ejpam-6274	727	7	m.	m.	NOUN
ejpam-6274	727	8	sultan	sultan	PROPN
ejpam-6274	727	9	,	,	PUNCT
ejpam-6274	727	10	q.	q.	PROPN
ejpam-6274	727	11	q.	q.	PROPN
ejpam-6274	727	12	zhang	zhang	PROPN
ejpam-6274	727	13	,	,	PUNCT
ejpam-6274	727	14	and	and	CCONJ
ejpam-6274	727	15	n.	n.	PROPN
ejpam-6274	727	16	mlaiki	mlaiki	PROPN
ejpam-6274	727	17	.	.	PUNCT
ejpam-6274	728	1	boundedness	boundedness	PROPN
ejpam-6274	728	2	of	of	ADP
ejpam-6274	728	3	hardy	hardy	ADJ
ejpam-6274	728	4	operators	operator	NOUN
ejpam-6274	728	5	on	on	ADP
ejpam-6274	728	6	grand	grand	ADJ
ejpam-6274	728	7	variable	variable	NOUN
ejpam-6274	728	8	weighted	weight	VERB
ejpam-6274	728	9	herz	herz	PROPN
ejpam-6274	728	10	spaces	space	NOUN
ejpam-6274	728	11	.	.	PUNCT
ejpam-6274	729	1	aims	aim	VERB
ejpam-6274	729	2	mathematics	mathematic	NOUN
ejpam-6274	729	3	,	,	PUNCT
ejpam-6274	729	4	8(10):24515–24527	8(10):24515–24527	NUM
ejpam-6274	729	5	,	,	PUNCT
ejpam-6274	729	6	2023	2023	NUM
ejpam-6274	729	7	.	.	PUNCT
ejpam-6274	730	1	[	[	X
ejpam-6274	730	2	26	26	NUM
ejpam-6274	730	3	]	]	PUNCT
ejpam-6274	730	4	b.	b.	PROPN
ejpam-6274	730	5	sultan	sultan	PROPN
ejpam-6274	730	6	,	,	PUNCT
ejpam-6274	730	7	m.	m.	NOUN
ejpam-6274	730	8	sultan	sultan	PROPN
ejpam-6274	730	9	,	,	PUNCT
ejpam-6274	730	10	m.	m.	PROPN
ejpam-6274	730	11	mehmood	mehmood	PROPN
ejpam-6274	730	12	,	,	PUNCT
ejpam-6274	730	13	f.	f.	PROPN
ejpam-6274	730	14	azmi	azmi	PROPN
ejpam-6274	730	15	,	,	PUNCT
ejpam-6274	730	16	m.	m.	NOUN
ejpam-6274	730	17	a.	a.	NOUN
ejpam-6274	730	18	alghafli	alghafli	PROPN
ejpam-6274	730	19	,	,	PUNCT
ejpam-6274	730	20	and	and	CCONJ
ejpam-6274	730	21	n.	n.	PROPN
ejpam-6274	730	22	mlaiki	mlaiki	PROPN
ejpam-6274	730	23	.	.	PUNCT
ejpam-6274	731	1	boundedness	boundedness	PROPN
ejpam-6274	731	2	of	of	ADP
ejpam-6274	731	3	fractional	fractional	ADJ
ejpam-6274	731	4	integrals	integral	NOUN
ejpam-6274	731	5	on	on	ADP
ejpam-6274	731	6	grand	grand	ADJ
ejpam-6274	731	7	weighted	weight	VERB
ejpam-6274	731	8	herz	herz	PROPN
ejpam-6274	731	9	spaces	space	NOUN
ejpam-6274	731	10	with	with	ADP
ejpam-6274	731	11	variable	variable	ADJ
ejpam-6274	731	12	exponent	exponent	NOUN
ejpam-6274	731	13	.	.	PUNCT
ejpam-6274	732	1	aims	aim	VERB
ejpam-6274	732	2	mathematics	mathematic	NOUN
ejpam-6274	732	3	,	,	PUNCT
ejpam-6274	732	4	8:752–764	8:752–764	NOUN
ejpam-6274	732	5	,	,	PUNCT
ejpam-6274	732	6	2023	2023	NUM
ejpam-6274	732	7	.	.	PUNCT
ejpam-6274	733	1	[	[	X
ejpam-6274	733	2	27	27	NUM
ejpam-6274	733	3	]	]	X
ejpam-6274	733	4	b.	b.	PROPN
ejpam-6274	733	5	sultan	sultan	PROPN
ejpam-6274	733	6	,	,	PUNCT
ejpam-6274	733	7	a.	a.	NOUN
ejpam-6274	733	8	hussain	hussain	PROPN
ejpam-6274	733	9	,	,	PUNCT
ejpam-6274	733	10	and	and	CCONJ
ejpam-6274	733	11	m.	m.	NOUN
ejpam-6274	733	12	sultan	sultan	PROPN
ejpam-6274	733	13	.	.	PUNCT
ejpam-6274	734	1	characterization	characterization	NOUN
ejpam-6274	734	2	of	of	ADP
ejpam-6274	734	3	generalized	generalized	ADJ
ejpam-6274	734	4	campanato	campanato	NOUN
ejpam-6274	734	5	spaces	space	NOUN
ejpam-6274	734	6	with	with	ADP
ejpam-6274	734	7	variable	variable	ADJ
ejpam-6274	734	8	exponents	exponent	NOUN
ejpam-6274	734	9	via	via	ADP
ejpam-6274	734	10	fractional	fractional	ADJ
ejpam-6274	734	11	integrals	integral	NOUN
ejpam-6274	734	12	.	.	PUNCT
ejpam-6274	735	1	journal	journal	NOUN
ejpam-6274	735	2	of	of	ADP
ejpam-6274	735	3	pseudo	pseudo	NOUN
ejpam-6274	735	4	-	-	ADJ
ejpam-6274	735	5	differential	differential	ADJ
ejpam-6274	735	6	operators	operator	NOUN
ejpam-6274	735	7	and	and	CCONJ
ejpam-6274	735	8	applications	application	NOUN
ejpam-6274	735	9	,	,	PUNCT
ejpam-6274	735	10	16:22	16:22	NUM
ejpam-6274	735	11	,	,	PUNCT
ejpam-6274	735	12	2025	2025	NUM
ejpam-6274	735	13	.	.	PUNCT
ejpam-6274	736	1	[	[	X
ejpam-6274	736	2	28	28	NUM
ejpam-6274	736	3	]	]	X
ejpam-6274	736	4	b.	b.	PROPN
ejpam-6274	736	5	sultan	sultan	PROPN
ejpam-6274	736	6	,	,	PUNCT
ejpam-6274	736	7	m.	m.	NOUN
ejpam-6274	736	8	sultan	sultan	PROPN
ejpam-6274	736	9	,	,	PUNCT
ejpam-6274	736	10	and	and	CCONJ
ejpam-6274	736	11	a.	a.	NOUN
ejpam-6274	736	12	hussain	hussain	PROPN
ejpam-6274	736	13	.	.	PUNCT
ejpam-6274	737	1	boundedness	boundedness	NOUN
ejpam-6274	737	2	of	of	ADP
ejpam-6274	737	3	the	the	DET
ejpam-6274	737	4	bochner	bochner	NOUN
ejpam-6274	737	5	–	–	PUNCT
ejpam-6274	737	6	riesz	riesz	NOUN
ejpam-6274	737	7	operators	operator	NOUN
ejpam-6274	737	8	on	on	ADP
ejpam-6274	737	9	the	the	DET
ejpam-6274	737	10	weighted	weight	VERB
ejpam-6274	737	11	herz	herz	PROPN
ejpam-6274	737	12	–	–	PUNCT
ejpam-6274	737	13	morrey	morrey	PROPN
ejpam-6274	737	14	type	type	NOUN
ejpam-6274	737	15	hardy	hardy	ADJ
ejpam-6274	737	16	spaces	space	NOUN
ejpam-6274	737	17	.	.	PUNCT
ejpam-6274	738	1	complex	complex	ADJ
ejpam-6274	738	2	analysis	analysis	NOUN
ejpam-6274	738	3	and	and	CCONJ
ejpam-6274	738	4	operator	operator	NOUN
ejpam-6274	738	5	theory	theory	NOUN
ejpam-6274	738	6	,	,	PUNCT
ejpam-6274	738	7	19:49	19:49	NUM
ejpam-6274	738	8	,	,	PUNCT
ejpam-6274	738	9	2025	2025	NUM
ejpam-6274	738	10	.	.	PUNCT
ejpam-6274	739	1	[	[	X
ejpam-6274	739	2	29	29	NUM
ejpam-6274	739	3	]	]	PUNCT
ejpam-6274	739	4	m.	m.	NOUN
ejpam-6274	739	5	sultan	sultan	PROPN
ejpam-6274	739	6	and	and	CCONJ
ejpam-6274	739	7	b.	b.	PROPN
ejpam-6274	739	8	sultan	sultan	PROPN
ejpam-6274	739	9	.	.	PUNCT
ejpam-6274	740	1	a	a	DET
ejpam-6274	740	2	note	note	NOUN
ejpam-6274	740	3	on	on	ADP
ejpam-6274	740	4	the	the	DET
ejpam-6274	740	5	boundedness	boundedness	NOUN
ejpam-6274	740	6	of	of	ADP
ejpam-6274	740	7	higher	high	ADJ
ejpam-6274	740	8	order	order	NOUN
ejpam-6274	740	9	commutators	commutator	NOUN
ejpam-6274	740	10	on	on	ADP
ejpam-6274	740	11	fractional	fractional	ADJ
ejpam-6274	740	12	integrals	integral	NOUN
ejpam-6274	740	13	in	in	ADP
ejpam-6274	740	14	grand	grand	ADJ
ejpam-6274	740	15	variable	variable	ADJ
ejpam-6274	740	16	herz	herz	ADJ
ejpam-6274	740	17	-	-	PUNCT
ejpam-6274	740	18	morrey	morrey	PROPN
ejpam-6274	740	19	spaces	space	NOUN
ejpam-6274	740	20	.	.	PUNCT
ejpam-6274	741	1	kragujevac	kragujevac	PROPN
ejpam-6274	741	2	journal	journal	PROPN
ejpam-6274	741	3	of	of	ADP
ejpam-6274	741	4	mathematics	mathematic	NOUN
ejpam-6274	741	5	,	,	PUNCT
ejpam-6274	741	6	50(7):1063–1080	50(7):1063–1080	NUM
ejpam-6274	741	7	,	,	PUNCT
ejpam-6274	741	8	2026	2026	NUM
ejpam-6274	741	9	.	.	PUNCT
ejpam-6274	742	1	[	[	X
ejpam-6274	742	2	30	30	NUM
ejpam-6274	742	3	]	]	PUNCT
ejpam-6274	742	4	m.	m.	NOUN
ejpam-6274	742	5	sultan	sultan	PROPN
ejpam-6274	742	6	,	,	PUNCT
ejpam-6274	742	7	b.	b.	PROPN
ejpam-6274	742	8	sultan	sultan	PROPN
ejpam-6274	742	9	,	,	PUNCT
ejpam-6274	742	10	and	and	CCONJ
ejpam-6274	742	11	r.	r.	PROPN
ejpam-6274	742	12	e.	e.	PROPN
ejpam-6274	742	13	castillo	castillo	PROPN
ejpam-6274	742	14	.	.	PUNCT
ejpam-6274	743	1	weighted	weight	VERB
ejpam-6274	743	2	composition	composition	NOUN
ejpam-6274	743	3	operator	operator	NOUN
ejpam-6274	743	4	on	on	ADP
ejpam-6274	743	5	gamma	gamma	NOUN
ejpam-6274	743	6	spaces	space	NOUN
ejpam-6274	743	7	with	with	ADP
ejpam-6274	743	8	variable	variable	ADJ
ejpam-6274	743	9	exponent	exponent	NOUN
ejpam-6274	743	10	.	.	PUNCT
ejpam-6274	744	1	journal	journal	PROPN
ejpam-6274	744	2	of	of	ADP
ejpam-6274	744	3	pseudo	pseudo	NOUN
ejpam-6274	744	4	-	-	ADJ
ejpam-6274	744	5	differential	differential	ADJ
ejpam-6274	744	6	operators	operator	NOUN
ejpam-6274	744	7	and	and	CCONJ
ejpam-6274	744	8	applications	application	NOUN
ejpam-6274	744	9	,	,	PUNCT
ejpam-6274	744	10	15:46	15:46	NUM
ejpam-6274	744	11	,	,	PUNCT
ejpam-6274	744	12	2024	2024	NUM
ejpam-6274	744	13	.	.	PUNCT
ejpam-6274	745	1	[	[	X
ejpam-6274	745	2	31	31	NUM
ejpam-6274	745	3	]	]	PUNCT
ejpam-6274	745	4	b.	b.	PROPN
ejpam-6274	745	5	sultan	sultan	PROPN
ejpam-6274	745	6	and	and	CCONJ
ejpam-6274	745	7	m.	m.	PROPN
ejpam-6274	745	8	sultan	sultan	PROPN
ejpam-6274	745	9	.	.	PUNCT
ejpam-6274	746	1	sobolev	sobolev	NOUN
ejpam-6274	746	2	-	-	PUNCT
ejpam-6274	746	3	type	type	NOUN
ejpam-6274	746	4	theorem	theorem	NOUN
ejpam-6274	746	5	for	for	ADP
ejpam-6274	746	6	commutators	commutator	NOUN
ejpam-6274	746	7	of	of	ADP
ejpam-6274	746	8	hardy	hardy	ADJ
ejpam-6274	746	9	operators	operator	NOUN
ejpam-6274	746	10	in	in	ADP
ejpam-6274	746	11	grand	grand	ADJ
ejpam-6274	746	12	herz	herz	PROPN
ejpam-6274	746	13	spaces	space	NOUN
ejpam-6274	746	14	.	.	PUNCT
ejpam-6274	747	1	ukrainian	ukrainian	ADJ
ejpam-6274	747	2	mathematical	mathematical	ADJ
ejpam-6274	747	3	journal	journal	NOUN
ejpam-6274	747	4	,	,	PUNCT
ejpam-6274	747	5	76:1196–1213	76:1196–1213	NUM
ejpam-6274	747	6	,	,	PUNCT
ejpam-6274	747	7	2024	2024	NUM
ejpam-6274	747	8	.	.	PUNCT
ejpam-6274	748	1	[	[	X
ejpam-6274	748	2	32	32	NUM
ejpam-6274	748	3	]	]	PUNCT
ejpam-6274	748	4	a.	a.	NOUN
ejpam-6274	748	5	hussain	hussain	PROPN
ejpam-6274	748	6	,	,	PUNCT
ejpam-6274	748	7	i.	i.	PROPN
ejpam-6274	748	8	khan	khan	PROPN
ejpam-6274	748	9	,	,	PUNCT
ejpam-6274	748	10	and	and	CCONJ
ejpam-6274	748	11	a.	a.	PROPN
ejpam-6274	748	12	mohamed	mohamed	PROPN
ejpam-6274	748	13	.	.	PUNCT
ejpam-6274	749	1	variable	variable	ADJ
ejpam-6274	749	2	herz	herz	PROPN
ejpam-6274	749	3	-	-	PUNCT
ejpam-6274	749	4	morrey	morrey	PROPN
ejpam-6274	749	5	estimates	estimate	NOUN
ejpam-6274	749	6	for	for	ADP
ejpam-6274	749	7	rough	rough	ADJ
ejpam-6274	749	8	fractional	fractional	ADJ
ejpam-6274	749	9	hausdorff	hausdorff	NOUN
ejpam-6274	749	10	operator	operator	NOUN
ejpam-6274	749	11	.	.	PUNCT
ejpam-6274	750	1	journal	journal	PROPN
ejpam-6274	750	2	of	of	ADP
ejpam-6274	750	3	inequalities	inequality	NOUN
ejpam-6274	750	4	and	and	CCONJ
ejpam-6274	750	5	applications	application	NOUN
ejpam-6274	750	6	,	,	PUNCT
ejpam-6274	750	7	33	33	NUM
ejpam-6274	750	8	,	,	PUNCT
ejpam-6274	750	9	2024	2024	NUM
ejpam-6274	750	10	.	.	PUNCT
ejpam-6274	751	1	[	[	X
ejpam-6274	751	2	33	33	NUM
ejpam-6274	751	3	]	]	PUNCT
ejpam-6274	751	4	a.	a.	NOUN
ejpam-6274	751	5	ajaib	ajaib	PROPN
ejpam-6274	751	6	and	and	CCONJ
ejpam-6274	751	7	a.	a.	NOUN
ejpam-6274	751	8	hussain	hussain	PROPN
ejpam-6274	751	9	.	.	PUNCT
ejpam-6274	752	1	weighted	weight	VERB
ejpam-6274	752	2	cbmo	cbmo	NOUN
ejpam-6274	752	3	estimates	estimate	NOUN
ejpam-6274	752	4	for	for	ADP
ejpam-6274	752	5	commutators	commutator	NOUN
ejpam-6274	752	6	of	of	ADP
ejpam-6274	752	7	matrix	matrix	NOUN
ejpam-6274	752	8	hausdorff	hausdorff	NOUN
ejpam-6274	752	9	operator	operator	NOUN
ejpam-6274	752	10	on	on	ADP
ejpam-6274	752	11	the	the	DET
ejpam-6274	752	12	heisenberg	heisenberg	PROPN
ejpam-6274	752	13	group	group	NOUN
ejpam-6274	752	14	.	.	PUNCT
ejpam-6274	753	1	open	open	ADJ
ejpam-6274	753	2	mathematics	mathematic	NOUN
ejpam-6274	753	3	,	,	PUNCT
ejpam-6274	753	4	18(1):496–511	18(1):496–511	PROPN
ejpam-6274	753	5	,	,	PUNCT
ejpam-6274	753	6	2020	2020	NUM
ejpam-6274	753	7	.	.	PUNCT
ejpam-6274	754	1	[	[	X
ejpam-6274	754	2	34	34	NUM
ejpam-6274	754	3	]	]	PUNCT
ejpam-6274	754	4	a.	a.	NOUN
ejpam-6274	754	5	hussain	hussain	PROPN
ejpam-6274	754	6	and	and	CCONJ
ejpam-6274	754	7	a.	a.	PROPN
ejpam-6274	754	8	ajaib	ajaib	PROPN
ejpam-6274	754	9	.	.	PUNCT
ejpam-6274	755	1	some	some	DET
ejpam-6274	755	2	results	result	VERB
ejpam-6274	755	3	for	for	ADP
ejpam-6274	755	4	the	the	DET
ejpam-6274	755	5	commutators	commutator	NOUN
ejpam-6274	755	6	of	of	ADP
ejpam-6274	755	7	generalized	generalized	ADJ
ejpam-6274	755	8	hausdorff	hausdorff	NOUN
ejpam-6274	755	9	operator	operator	NOUN
ejpam-6274	755	10	.	.	PUNCT
ejpam-6274	756	1	journal	journal	PROPN
ejpam-6274	756	2	of	of	ADP
ejpam-6274	756	3	mathematical	mathematical	ADJ
ejpam-6274	756	4	inequalities	inequality	NOUN
ejpam-6274	756	5	,	,	PUNCT
ejpam-6274	756	6	13(4):1129–1146	13(4):1129–1146	NUM
ejpam-6274	756	7	,	,	PUNCT
ejpam-6274	756	8	2019	2019	NUM
ejpam-6274	756	9	.	.	PUNCT
ejpam-6274	757	1	[	[	X
ejpam-6274	757	2	35	35	NUM
ejpam-6274	757	3	]	]	X
ejpam-6274	757	4	j.	j.	PROPN
ejpam-6274	757	5	younas	younas	PROPN
ejpam-6274	757	6	,	,	PUNCT
ejpam-6274	757	7	a.	a.	NOUN
ejpam-6274	757	8	hussain	hussain	PROPN
ejpam-6274	757	9	,	,	PUNCT
ejpam-6274	757	10	h.	h.	PROPN
ejpam-6274	757	11	alhazmi	alhazmi	PROPN
ejpam-6274	757	12	,	,	PUNCT
ejpam-6274	757	13	a.	a.	PROPN
ejpam-6274	757	14	f.	f.	PROPN
ejpam-6274	757	15	aljohani	aljohani	PROPN
ejpam-6274	757	16	,	,	PUNCT
ejpam-6274	757	17	and	and	CCONJ
ejpam-6274	757	18	i.	i.	PROPN
ejpam-6274	757	19	khan	khan	PROPN
ejpam-6274	757	20	.	.	PUNCT
ejpam-6274	758	1	bmo	bmo	PROPN
ejpam-6274	758	2	estimates	estimate	NOUN
ejpam-6274	758	3	for	for	ADP
ejpam-6274	758	4	commutators	commutator	NOUN
ejpam-6274	758	5	of	of	ADP
ejpam-6274	758	6	the	the	DET
ejpam-6274	758	7	rough	rough	ADJ
ejpam-6274	758	8	fractional	fractional	ADJ
ejpam-6274	758	9	hausdorff	hausdorff	NOUN
ejpam-6274	758	10	operator	operator	NOUN
ejpam-6274	758	11	on	on	ADP
ejpam-6274	758	12	grand	grand	ADJ
ejpam-6274	758	13	-	-	PUNCT
ejpam-6274	758	14	variable	variable	ADJ
ejpam-6274	758	15	-	-	PUNCT
ejpam-6274	758	16	herzmorrey	herzmorrey	NOUN
ejpam-6274	758	17	spaces	space	NOUN
ejpam-6274	758	18	.	.	PUNCT
ejpam-6274	759	1	aims	aim	VERB
ejpam-6274	759	2	mathematics	mathematic	NOUN
ejpam-6274	759	3	,	,	PUNCT
ejpam-6274	759	4	9(9):23434–23448	9(9):23434–23448	NUM
ejpam-6274	759	5	,	,	PUNCT
ejpam-6274	759	6	2024	2024	NUM
ejpam-6274	759	7	.	.	PUNCT
ejpam-6274	760	1	[	[	X
ejpam-6274	760	2	36	36	NUM
ejpam-6274	760	3	]	]	X
ejpam-6274	760	4	e.	e.	PROPN
ejpam-6274	760	5	hernández	hernández	PROPN
ejpam-6274	760	6	and	and	CCONJ
ejpam-6274	760	7	d.	d.	PROPN
ejpam-6274	760	8	yang	yang	PROPN
ejpam-6274	760	9	.	.	PUNCT
ejpam-6274	761	1	interpolation	interpolation	NOUN
ejpam-6274	761	2	of	of	ADP
ejpam-6274	761	3	herz	herz	PROPN
ejpam-6274	761	4	spaces	space	NOUN
ejpam-6274	761	5	and	and	CCONJ
ejpam-6274	761	6	applications	application	NOUN
ejpam-6274	761	7	.	.	PUNCT
ejpam-6274	762	1	mathematische	mathematische	PROPN
ejpam-6274	762	2	nachrichten	nachrichten	PROPN
ejpam-6274	762	3	,	,	PUNCT
ejpam-6274	762	4	205(1):69–87	205(1):69–87	NUM
ejpam-6274	762	5	,	,	PUNCT
ejpam-6274	762	6	1999	1999	NUM
ejpam-6274	762	7	.	.	PUNCT
ejpam-6274	763	1	[	[	X
ejpam-6274	763	2	37	37	NUM
ejpam-6274	763	3	]	]	PUNCT
ejpam-6274	763	4	x.	x.	PROPN
ejpam-6274	763	5	li	li	PROPN
ejpam-6274	763	6	and	and	CCONJ
ejpam-6274	763	7	d.	d.	PROPN
ejpam-6274	763	8	yang	yang	PROPN
ejpam-6274	763	9	.	.	PUNCT
ejpam-6274	764	1	boundedness	boundedness	PROPN
ejpam-6274	764	2	of	of	ADP
ejpam-6274	764	3	some	some	DET
ejpam-6274	764	4	sublinear	sublinear	NOUN
ejpam-6274	764	5	operators	operator	NOUN
ejpam-6274	764	6	on	on	ADP
ejpam-6274	764	7	herz	herz	PROPN
ejpam-6274	764	8	spaces	space	NOUN
ejpam-6274	764	9	.	.	PUNCT
ejpam-6274	765	1	illinois	illinois	PROPN
ejpam-6274	765	2	journal	journal	PROPN
ejpam-6274	765	3	of	of	ADP
ejpam-6274	765	4	mathematics	mathematics	PROPN
ejpam-6274	765	5	,	,	PUNCT
ejpam-6274	765	6	40(3):484–501	40(3):484–501	PROPN
ejpam-6274	765	7	,	,	PUNCT
ejpam-6274	765	8	1996	1996	NUM
ejpam-6274	765	9	.	.	PUNCT
ejpam-6274	766	1	[	[	X
ejpam-6274	766	2	38	38	NUM
ejpam-6274	766	3	]	]	PUNCT
ejpam-6274	766	4	s.	s.	PROPN
ejpam-6274	766	5	lu	lu	PROPN
ejpam-6274	766	6	.	.	PUNCT
ejpam-6274	767	1	multipliers	multiplier	NOUN
ejpam-6274	767	2	and	and	CCONJ
ejpam-6274	767	3	herz	herz	ADJ
ejpam-6274	767	4	type	type	NOUN
ejpam-6274	767	5	spaces	space	NOUN
ejpam-6274	767	6	.	.	PUNCT
ejpam-6274	768	1	science	science	NOUN
ejpam-6274	768	2	in	in	ADP
ejpam-6274	768	3	china	china	PROPN
ejpam-6274	768	4	series	series	PROPN
ejpam-6274	768	5	a	a	PRON
ejpam-6274	768	6	:	:	PUNCT
ejpam-6274	768	7	mathematics	mathematic	NOUN
ejpam-6274	768	8	,	,	PUNCT
ejpam-6274	768	9	51(10):1919–1936	51(10):1919–1936	NUM
ejpam-6274	768	10	,	,	PUNCT
ejpam-6274	768	11	2008	2008	NUM
ejpam-6274	768	12	.	.	PUNCT
ejpam-6274	769	1	[	[	X
ejpam-6274	769	2	39	39	NUM
ejpam-6274	769	3	]	]	PUNCT
ejpam-6274	769	4	s.	s.	PROPN
ejpam-6274	769	5	lu	lu	PROPN
ejpam-6274	769	6	,	,	PUNCT
ejpam-6274	769	7	k.	k.	PROPN
ejpam-6274	769	8	yabuta	yabuta	PROPN
ejpam-6274	769	9	,	,	PUNCT
ejpam-6274	769	10	and	and	CCONJ
ejpam-6274	769	11	d.	d.	PROPN
ejpam-6274	769	12	yang	yang	PROPN
ejpam-6274	769	13	.	.	PUNCT
ejpam-6274	770	1	the	the	DET
ejpam-6274	770	2	boundedness	boundedness	NOUN
ejpam-6274	770	3	of	of	ADP
ejpam-6274	770	4	some	some	DET
ejpam-6274	770	5	sublinear	sublinear	NOUN
ejpam-6274	770	6	operators	operator	NOUN
ejpam-6274	770	7	in	in	ADP
ejpam-6274	770	8	weighted	weight	VERB
ejpam-6274	770	9	herz	herz	ADJ
ejpam-6274	770	10	-	-	PUNCT
ejpam-6274	770	11	type	type	NOUN
ejpam-6274	770	12	spaces	space	NOUN
ejpam-6274	770	13	.	.	PUNCT
ejpam-6274	771	1	kodai	kodai	PROPN
ejpam-6274	771	2	mathematical	mathematical	PROPN
ejpam-6274	771	3	journal	journal	PROPN
ejpam-6274	771	4	,	,	PUNCT
ejpam-6274	771	5	23(3):391–410	23(3):391–410	PROPN
ejpam-6274	771	6	,	,	PUNCT
ejpam-6274	771	7	2000	2000	NUM
ejpam-6274	771	8	.	.	PUNCT
ejpam-6274	772	1	[	[	X
ejpam-6274	772	2	40	40	NUM
ejpam-6274	772	3	]	]	PUNCT
ejpam-6274	772	4	s.	s.	PROPN
ejpam-6274	772	5	lu	lu	PROPN
ejpam-6274	772	6	and	and	CCONJ
ejpam-6274	772	7	d.	d.	PROPN
ejpam-6274	772	8	yang	yang	PROPN
ejpam-6274	772	9	.	.	PUNCT
ejpam-6274	773	1	the	the	DET
ejpam-6274	773	2	decomposition	decomposition	NOUN
ejpam-6274	773	3	of	of	ADP
ejpam-6274	773	4	the	the	DET
ejpam-6274	773	5	weighted	weight	VERB
ejpam-6274	773	6	herz	herz	PROPN
ejpam-6274	773	7	spaces	space	NOUN
ejpam-6274	773	8	on	on	ADP
ejpam-6274	773	9	rn	rn	PROPN
ejpam-6274	773	10	and	and	CCONJ
ejpam-6274	773	11	its	its	PRON
ejpam-6274	773	12	m.	m.	NOUN
ejpam-6274	773	13	sultan	sultan	PROPN
ejpam-6274	773	14	,	,	PUNCT
ejpam-6274	773	15	b.	b.	PROPN
ejpam-6274	773	16	sultan	sultan	PROPN
ejpam-6274	773	17	,	,	PUNCT
ejpam-6274	773	18	i	i	PROPN
ejpam-6274	773	19	-	-	PUNCT
ejpam-6274	773	20	l.	l.	PROPN
ejpam-6274	773	21	popa	popa	PROPN
ejpam-6274	773	22	/	/	SYM
ejpam-6274	773	23	eur	eur	PROPN
ejpam-6274	773	24	.	.	PUNCT
ejpam-6274	774	1	j.	j.	PROPN
ejpam-6274	774	2	pure	pure	PROPN
ejpam-6274	774	3	appl	appl	PROPN
ejpam-6274	774	4	.	.	PROPN
ejpam-6274	774	5	math	math	PROPN
ejpam-6274	774	6	,	,	PUNCT
ejpam-6274	774	7	18	18	NUM
ejpam-6274	774	8	(	(	PUNCT
ejpam-6274	774	9	3	3	NUM
ejpam-6274	774	10	)	)	PUNCT
ejpam-6274	774	11	(	(	PUNCT
ejpam-6274	774	12	2025	2025	NUM
ejpam-6274	774	13	)	)	PUNCT
ejpam-6274	774	14	,	,	PUNCT
ejpam-6274	774	15	6274	6274	NUM
ejpam-6274	774	16	32	32	NUM
ejpam-6274	774	17	of	of	ADP
ejpam-6274	774	18	33	33	NUM
ejpam-6274	774	19	application	application	NOUN
ejpam-6274	774	20	.	.	PUNCT
ejpam-6274	775	1	science	science	NOUN
ejpam-6274	775	2	in	in	ADP
ejpam-6274	775	3	china	china	PROPN
ejpam-6274	775	4	series	series	PROPN
ejpam-6274	775	5	a	a	PRON
ejpam-6274	775	6	:	:	PUNCT
ejpam-6274	775	7	mathematics	mathematic	NOUN
ejpam-6274	775	8	,	,	PUNCT
ejpam-6274	775	9	38(2):147–158	38(2):147–158	PROPN
ejpam-6274	775	10	,	,	PUNCT
ejpam-6274	775	11	1995	1995	NUM
ejpam-6274	775	12	.	.	PUNCT
ejpam-6274	776	1	[	[	X
ejpam-6274	776	2	41	41	NUM
ejpam-6274	776	3	]	]	PUNCT
ejpam-6274	776	4	s.	s.	PROPN
ejpam-6274	776	5	lu	lu	PROPN
ejpam-6274	776	6	,	,	PUNCT
ejpam-6274	776	7	d.	d.	PROPN
ejpam-6274	776	8	yang	yang	PROPN
ejpam-6274	776	9	,	,	PUNCT
ejpam-6274	776	10	and	and	CCONJ
ejpam-6274	776	11	g.	g.	PROPN
ejpam-6274	776	12	hu	hu	PROPN
ejpam-6274	776	13	.	.	PROPN
ejpam-6274	777	1	herz	herz	PROPN
ejpam-6274	777	2	type	type	NOUN
ejpam-6274	777	3	spaces	space	NOUN
ejpam-6274	777	4	and	and	CCONJ
ejpam-6274	777	5	their	their	PRON
ejpam-6274	777	6	applications	application	NOUN
ejpam-6274	777	7	.	.	PUNCT
ejpam-6274	778	1	2008	2008	NUM
ejpam-6274	778	2	.	.	PUNCT
ejpam-6274	779	1	[	[	X
ejpam-6274	779	2	42	42	NUM
ejpam-6274	779	3	]	]	PUNCT
ejpam-6274	779	4	m.	m.	NOUN
ejpam-6274	779	5	sultan	sultan	PROPN
ejpam-6274	779	6	,	,	PUNCT
ejpam-6274	779	7	b.	b.	PROPN
ejpam-6274	779	8	sultan	sultan	PROPN
ejpam-6274	779	9	,	,	PUNCT
ejpam-6274	779	10	and	and	CCONJ
ejpam-6274	779	11	a.	a.	NOUN
ejpam-6274	779	12	hussain	hussain	PROPN
ejpam-6274	779	13	.	.	PUNCT
ejpam-6274	780	1	grand	grand	PROPN
ejpam-6274	780	2	herz	herz	PROPN
ejpam-6274	780	3	–	–	PUNCT
ejpam-6274	780	4	morrey	morrey	PROPN
ejpam-6274	780	5	spaces	space	VERB
ejpam-6274	780	6	with	with	ADP
ejpam-6274	780	7	variable	variable	ADJ
ejpam-6274	780	8	exponent	exponent	NOUN
ejpam-6274	780	9	.	.	PUNCT
ejpam-6274	781	1	mathematical	mathematical	ADJ
ejpam-6274	781	2	notes	note	NOUN
ejpam-6274	781	3	,	,	PUNCT
ejpam-6274	781	4	114:957–977	114:957–977	NUM
ejpam-6274	781	5	,	,	PUNCT
ejpam-6274	781	6	2023	2023	NUM
ejpam-6274	781	7	.	.	PUNCT
ejpam-6274	782	1	[	[	X
ejpam-6274	782	2	43	43	NUM
ejpam-6274	782	3	]	]	X
ejpam-6274	782	4	l.	l.	PROPN
ejpam-6274	782	5	tang	tang	PROPN
ejpam-6274	782	6	and	and	CCONJ
ejpam-6274	782	7	d.	d.	PROPN
ejpam-6274	782	8	yang	yang	PROPN
ejpam-6274	782	9	.	.	PUNCT
ejpam-6274	783	1	boundedness	boundedness	PROPN
ejpam-6274	783	2	of	of	ADP
ejpam-6274	783	3	vector	vector	NOUN
ejpam-6274	783	4	-	-	PUNCT
ejpam-6274	783	5	valued	value	VERB
ejpam-6274	783	6	operators	operator	NOUN
ejpam-6274	783	7	on	on	ADP
ejpam-6274	783	8	weighted	weight	VERB
ejpam-6274	783	9	herz	herz	PROPN
ejpam-6274	783	10	spaces	space	NOUN
ejpam-6274	783	11	.	.	PUNCT
ejpam-6274	784	1	approximation	approximation	NOUN
ejpam-6274	784	2	theory	theory	NOUN
ejpam-6274	784	3	and	and	CCONJ
ejpam-6274	784	4	its	its	PRON
ejpam-6274	784	5	applications	application	NOUN
ejpam-6274	784	6	,	,	PUNCT
ejpam-6274	784	7	16(2):58–70	16(2):58–70	NUM
ejpam-6274	784	8	,	,	PUNCT
ejpam-6274	784	9	2000	2000	NUM
ejpam-6274	784	10	.	.	PUNCT
ejpam-6274	785	1	[	[	X
ejpam-6274	785	2	44	44	NUM
ejpam-6274	785	3	]	]	PUNCT
ejpam-6274	785	4	j.	j.	PROPN
ejpam-6274	785	5	xu	xu	PROPN
ejpam-6274	785	6	and	and	CCONJ
ejpam-6274	785	7	d.	d.	PROPN
ejpam-6274	785	8	yang	yang	PROPN
ejpam-6274	785	9	.	.	PUNCT
ejpam-6274	786	1	applications	application	NOUN
ejpam-6274	786	2	of	of	ADP
ejpam-6274	786	3	herz	herz	ADJ
ejpam-6274	786	4	-	-	PUNCT
ejpam-6274	786	5	type	type	NOUN
ejpam-6274	786	6	triebel	triebel	NOUN
ejpam-6274	786	7	-	-	PUNCT
ejpam-6274	786	8	lizorkin	lizorkin	NOUN
ejpam-6274	786	9	spaces	space	NOUN
ejpam-6274	786	10	.	.	PUNCT
ejpam-6274	787	1	acta	acta	PROPN
ejpam-6274	787	2	mathematica	mathematica	PROPN
ejpam-6274	787	3	scientia	scientia	PROPN
ejpam-6274	787	4	,	,	PUNCT
ejpam-6274	787	5	23b(3):328–338	23b(3):328–338	PROPN
ejpam-6274	787	6	,	,	PUNCT
ejpam-6274	787	7	2003	2003	NUM
ejpam-6274	787	8	.	.	PUNCT
ejpam-6274	788	1	[	[	X
ejpam-6274	788	2	45	45	NUM
ejpam-6274	788	3	]	]	PUNCT
ejpam-6274	788	4	j.	j.	PROPN
ejpam-6274	788	5	xu	xu	PROPN
ejpam-6274	788	6	.	.	PUNCT
ejpam-6274	789	1	a	a	DET
ejpam-6274	789	2	discrete	discrete	ADJ
ejpam-6274	789	3	characterization	characterization	NOUN
ejpam-6274	789	4	of	of	ADP
ejpam-6274	789	5	the	the	DET
ejpam-6274	789	6	herz	herz	ADJ
ejpam-6274	789	7	-	-	PUNCT
ejpam-6274	789	8	type	type	NOUN
ejpam-6274	789	9	triebel	triebel	NOUN
ejpam-6274	789	10	-	-	PUNCT
ejpam-6274	789	11	lizorkin	lizorkin	NOUN
ejpam-6274	789	12	spaces	space	NOUN
ejpam-6274	789	13	and	and	CCONJ
ejpam-6274	789	14	its	its	PRON
ejpam-6274	789	15	applications	application	NOUN
ejpam-6274	789	16	.	.	PUNCT
ejpam-6274	790	1	acta	acta	PROPN
ejpam-6274	790	2	mathematica	mathematica	PROPN
ejpam-6274	790	3	scientia	scientia	PROPN
ejpam-6274	790	4	,	,	PUNCT
ejpam-6274	790	5	24b(3):412–420	24b(3):412–420	PROPN
ejpam-6274	790	6	,	,	PUNCT
ejpam-6274	790	7	2004	2004	NUM
ejpam-6274	790	8	.	.	PUNCT
ejpam-6274	791	1	[	[	X
ejpam-6274	791	2	46	46	NUM
ejpam-6274	791	3	]	]	PUNCT
ejpam-6274	791	4	j.	j.	PROPN
ejpam-6274	791	5	xu	xu	PROPN
ejpam-6274	791	6	.	.	PUNCT
ejpam-6274	792	1	equivalent	equivalent	ADJ
ejpam-6274	792	2	norms	norm	NOUN
ejpam-6274	792	3	of	of	ADP
ejpam-6274	792	4	herz	herz	ADJ
ejpam-6274	792	5	type	type	NOUN
ejpam-6274	792	6	besov	besov	NOUN
ejpam-6274	792	7	and	and	CCONJ
ejpam-6274	792	8	triebel	triebel	NOUN
ejpam-6274	792	9	-	-	PUNCT
ejpam-6274	792	10	lizorkin	lizorkin	NOUN
ejpam-6274	792	11	spaces	space	NOUN
ejpam-6274	792	12	.	.	PUNCT
ejpam-6274	793	1	journal	journal	NOUN
ejpam-6274	793	2	of	of	ADP
ejpam-6274	793	3	function	function	NOUN
ejpam-6274	793	4	spaces	space	NOUN
ejpam-6274	793	5	and	and	CCONJ
ejpam-6274	793	6	applications	application	NOUN
ejpam-6274	793	7	,	,	PUNCT
ejpam-6274	793	8	3(1):17–31	3(1):17–31	NUM
ejpam-6274	793	9	,	,	PUNCT
ejpam-6274	793	10	2005	2005	NUM
ejpam-6274	793	11	.	.	PUNCT
ejpam-6274	794	1	[	[	X
ejpam-6274	794	2	47	47	NUM
ejpam-6274	794	3	]	]	PUNCT
ejpam-6274	794	4	j.	j.	PROPN
ejpam-6274	794	5	xu	xu	PROPN
ejpam-6274	794	6	.	.	PUNCT
ejpam-6274	795	1	herz	herz	ADJ
ejpam-6274	795	2	-	-	PUNCT
ejpam-6274	795	3	type	type	NOUN
ejpam-6274	795	4	triebel	triebel	NOUN
ejpam-6274	795	5	-	-	PUNCT
ejpam-6274	795	6	lizorkin	lizorkin	NOUN
ejpam-6274	795	7	spaces	space	NOUN
ejpam-6274	795	8	(	(	PUNCT
ejpam-6274	795	9	i	i	NOUN
ejpam-6274	795	10	)	)	PUNCT
ejpam-6274	795	11	.	.	PUNCT
ejpam-6274	796	1	acta	acta	PROPN
ejpam-6274	796	2	mathematica	mathematica	PROPN
ejpam-6274	796	3	sinica	sinica	PROPN
ejpam-6274	796	4	(	(	PUNCT
ejpam-6274	796	5	english	english	PROPN
ejpam-6274	796	6	series	series	PROPN
ejpam-6274	796	7	)	)	PUNCT
ejpam-6274	796	8	,	,	PUNCT
ejpam-6274	796	9	21(3):643–654	21(3):643–654	NUM
ejpam-6274	796	10	,	,	PUNCT
ejpam-6274	796	11	2005	2005	NUM
ejpam-6274	796	12	.	.	PUNCT
ejpam-6274	797	1	[	[	X
ejpam-6274	797	2	48	48	NUM
ejpam-6274	797	3	]	]	PUNCT
ejpam-6274	797	4	m.	m.	NOUN
ejpam-6274	797	5	izuki	izuki	PROPN
ejpam-6274	797	6	.	.	PUNCT
ejpam-6274	798	1	boundedness	boundedness	PROPN
ejpam-6274	798	2	of	of	ADP
ejpam-6274	798	3	vector	vector	NOUN
ejpam-6274	798	4	-	-	PUNCT
ejpam-6274	798	5	valued	value	VERB
ejpam-6274	798	6	sublinear	sublinear	NOUN
ejpam-6274	798	7	operators	operator	NOUN
ejpam-6274	798	8	on	on	ADP
ejpam-6274	798	9	herz	herz	ADJ
ejpam-6274	798	10	-	-	PUNCT
ejpam-6274	798	11	morrey	morrey	PROPN
ejpam-6274	798	12	spaces	space	NOUN
ejpam-6274	798	13	with	with	ADP
ejpam-6274	798	14	variable	variable	ADJ
ejpam-6274	798	15	exponent	exponent	NOUN
ejpam-6274	798	16	.	.	PUNCT
ejpam-6274	799	1	mathematical	mathematical	ADJ
ejpam-6274	799	2	sciences	sciences	PROPN
ejpam-6274	799	3	research	research	PROPN
ejpam-6274	799	4	journal	journal	NOUN
ejpam-6274	799	5	,	,	PUNCT
ejpam-6274	799	6	13(2):243–253	13(2):243–253	NUM
ejpam-6274	799	7	,	,	PUNCT
ejpam-6274	799	8	2009	2009	NUM
ejpam-6274	799	9	.	.	PUNCT
ejpam-6274	800	1	[	[	X
ejpam-6274	800	2	49	49	NUM
ejpam-6274	800	3	]	]	PUNCT
ejpam-6274	800	4	b.	b.	PROPN
ejpam-6274	800	5	sultan	sultan	PROPN
ejpam-6274	800	6	,	,	PUNCT
ejpam-6274	800	7	f.	f.	PROPN
ejpam-6274	800	8	azmi	azmi	PROPN
ejpam-6274	800	9	,	,	PUNCT
ejpam-6274	800	10	m.	m.	NOUN
ejpam-6274	800	11	sultan	sultan	PROPN
ejpam-6274	800	12	,	,	PUNCT
ejpam-6274	800	13	m.	m.	NOUN
ejpam-6274	800	14	mehmood	mehmood	PROPN
ejpam-6274	800	15	,	,	PUNCT
ejpam-6274	800	16	and	and	CCONJ
ejpam-6274	800	17	n.	n.	PROPN
ejpam-6274	800	18	mlaiki	mlaiki	PROPN
ejpam-6274	800	19	.	.	PUNCT
ejpam-6274	801	1	boundedness	boundedness	PROPN
ejpam-6274	801	2	of	of	ADP
ejpam-6274	801	3	riesz	riesz	PROPN
ejpam-6274	801	4	potential	potential	ADJ
ejpam-6274	801	5	operator	operator	NOUN
ejpam-6274	801	6	on	on	ADP
ejpam-6274	801	7	grand	grand	ADJ
ejpam-6274	801	8	herz	herz	PROPN
ejpam-6274	801	9	-	-	PUNCT
ejpam-6274	801	10	morrey	morrey	PROPN
ejpam-6274	801	11	spaces	space	NOUN
ejpam-6274	801	12	.	.	PUNCT
ejpam-6274	802	1	axioms	axiom	NOUN
ejpam-6274	802	2	,	,	PUNCT
ejpam-6274	802	3	11(11):583	11(11):583	NUM
ejpam-6274	802	4	,	,	PUNCT
ejpam-6274	802	5	2022	2022	NUM
ejpam-6274	802	6	.	.	PUNCT
ejpam-6274	803	1	[	[	X
ejpam-6274	803	2	50	50	NUM
ejpam-6274	803	3	]	]	PUNCT
ejpam-6274	803	4	b.	b.	PROPN
ejpam-6274	803	5	sultan	sultan	PROPN
ejpam-6274	803	6	and	and	CCONJ
ejpam-6274	803	7	m.	m.	PROPN
ejpam-6274	803	8	sultan	sultan	PROPN
ejpam-6274	803	9	.	.	PUNCT
ejpam-6274	804	1	boundedness	boundedness	NOUN
ejpam-6274	804	2	of	of	ADP
ejpam-6274	804	3	higher	high	ADJ
ejpam-6274	804	4	order	order	NOUN
ejpam-6274	804	5	commutators	commutator	NOUN
ejpam-6274	804	6	of	of	ADP
ejpam-6274	804	7	hardy	hardy	ADJ
ejpam-6274	804	8	operators	operator	NOUN
ejpam-6274	804	9	on	on	ADP
ejpam-6274	804	10	grand	grand	ADJ
ejpam-6274	804	11	herz	herz	PROPN
ejpam-6274	804	12	–	–	PUNCT
ejpam-6274	804	13	morrey	morrey	PROPN
ejpam-6274	804	14	spaces	space	NOUN
ejpam-6274	804	15	.	.	PUNCT
ejpam-6274	805	1	bulletin	bulletin	PROPN
ejpam-6274	805	2	des	des	PROPN
ejpam-6274	805	3	sciences	sciences	PROPN
ejpam-6274	805	4	mathématiques	mathématiques	PROPN
ejpam-6274	805	5	,	,	PUNCT
ejpam-6274	805	6	190:103373	190:103373	NUM
ejpam-6274	805	7	,	,	PUNCT
ejpam-6274	805	8	2024	2024	NUM
ejpam-6274	805	9	.	.	PUNCT
ejpam-6274	806	1	[	[	X
ejpam-6274	806	2	51	51	NUM
ejpam-6274	806	3	]	]	PUNCT
ejpam-6274	806	4	b.	b.	PROPN
ejpam-6274	806	5	sultan	sultan	PROPN
ejpam-6274	806	6	,	,	PUNCT
ejpam-6274	806	7	m.	m.	NOUN
ejpam-6274	806	8	sultan	sultan	PROPN
ejpam-6274	806	9	,	,	PUNCT
ejpam-6274	806	10	and	and	CCONJ
ejpam-6274	806	11	f.	f.	PROPN
ejpam-6274	806	12	gürbüz	gürbüz	PROPN
ejpam-6274	806	13	.	.	PUNCT
ejpam-6274	806	14	bmo	bmo	PROPN
ejpam-6274	806	15	estimate	estimate	NOUN
ejpam-6274	806	16	for	for	ADP
ejpam-6274	806	17	the	the	DET
ejpam-6274	806	18	higher	high	ADJ
ejpam-6274	806	19	order	order	NOUN
ejpam-6274	806	20	commutators	commutator	NOUN
ejpam-6274	806	21	of	of	ADP
ejpam-6274	806	22	marcinkiewicz	marcinkiewicz	ADJ
ejpam-6274	806	23	integral	integral	ADJ
ejpam-6274	806	24	operator	operator	NOUN
ejpam-6274	806	25	on	on	ADP
ejpam-6274	806	26	grand	grand	ADJ
ejpam-6274	806	27	variable	variable	ADJ
ejpam-6274	806	28	herz	herz	PROPN
ejpam-6274	806	29	–	–	PUNCT
ejpam-6274	806	30	morrey	morrey	PROPN
ejpam-6274	806	31	spaces	space	NOUN
ejpam-6274	806	32	.	.	PUNCT
ejpam-6274	807	1	communications	communication	NOUN
ejpam-6274	807	2	of	of	ADP
ejpam-6274	807	3	the	the	DET
ejpam-6274	807	4	faculty	faculty	NOUN
ejpam-6274	807	5	of	of	ADP
ejpam-6274	807	6	sciences	sciences	PROPN
ejpam-6274	807	7	university	university	PROPN
ejpam-6274	807	8	of	of	ADP
ejpam-6274	807	9	ankara	ankara	PROPN
ejpam-6274	807	10	series	series	PROPN
ejpam-6274	807	11	a1	a1	PROPN
ejpam-6274	807	12	mathematics	mathematic	NOUN
ejpam-6274	807	13	and	and	CCONJ
ejpam-6274	807	14	statistics	statistic	NOUN
ejpam-6274	807	15	,	,	PUNCT
ejpam-6274	807	16	72(4):1000–1018	72(4):1000–1018	NOUN
ejpam-6274	807	17	,	,	PUNCT
ejpam-6274	807	18	2023	2023	NUM
ejpam-6274	807	19	.	.	PUNCT
ejpam-6274	808	1	[	[	X
ejpam-6274	808	2	52	52	NUM
ejpam-6274	808	3	]	]	PUNCT
ejpam-6274	808	4	m.	m.	NOUN
ejpam-6274	808	5	sultan	sultan	PROPN
ejpam-6274	808	6	,	,	PUNCT
ejpam-6274	808	7	b.	b.	PROPN
ejpam-6274	808	8	sultan	sultan	PROPN
ejpam-6274	808	9	,	,	PUNCT
ejpam-6274	808	10	a.	a.	PROPN
ejpam-6274	808	11	khan	khan	PROPN
ejpam-6274	808	12	,	,	PUNCT
ejpam-6274	808	13	and	and	CCONJ
ejpam-6274	808	14	t.	t.	PROPN
ejpam-6274	808	15	abdeljawad	abdeljawad	NOUN
ejpam-6274	808	16	.	.	PUNCT
ejpam-6274	809	1	boundedness	boundedness	NOUN
ejpam-6274	809	2	of	of	ADP
ejpam-6274	809	3	marcinkiewicz	marcinkiewicz	ADJ
ejpam-6274	809	4	integral	integral	ADJ
ejpam-6274	809	5	operator	operator	NOUN
ejpam-6274	809	6	of	of	ADP
ejpam-6274	809	7	variable	variable	ADJ
ejpam-6274	809	8	order	order	NOUN
ejpam-6274	809	9	in	in	ADP
ejpam-6274	809	10	grand	grand	ADJ
ejpam-6274	809	11	herz	herz	PROPN
ejpam-6274	809	12	–	–	PUNCT
ejpam-6274	809	13	morrey	morrey	PROPN
ejpam-6274	809	14	spaces	space	NOUN
ejpam-6274	809	15	.	.	PUNCT
ejpam-6274	810	1	aims	aim	VERB
ejpam-6274	810	2	mathematics	mathematic	NOUN
ejpam-6274	810	3	,	,	PUNCT
ejpam-6274	810	4	8(9):22338–22353	8(9):22338–22353	PROPN
ejpam-6274	810	5	,	,	PUNCT
ejpam-6274	810	6	2023	2023	NUM
ejpam-6274	810	7	.	.	PUNCT
ejpam-6274	811	1	[	[	X
ejpam-6274	811	2	53	53	NUM
ejpam-6274	811	3	]	]	PUNCT
ejpam-6274	811	4	b.	b.	PROPN
ejpam-6274	811	5	dong	dong	PROPN
ejpam-6274	811	6	and	and	CCONJ
ejpam-6274	811	7	j.	j.	PROPN
ejpam-6274	811	8	xu	xu	PROPN
ejpam-6274	811	9	.	.	PUNCT
ejpam-6274	812	1	new	new	ADJ
ejpam-6274	812	2	herz	herz	PROPN
ejpam-6274	812	3	type	type	NOUN
ejpam-6274	812	4	besov	besov	NOUN
ejpam-6274	812	5	and	and	CCONJ
ejpam-6274	812	6	triebel	triebel	NOUN
ejpam-6274	812	7	-	-	PUNCT
ejpam-6274	812	8	lizorkin	lizorkin	NOUN
ejpam-6274	812	9	spaces	space	NOUN
ejpam-6274	812	10	with	with	ADP
ejpam-6274	812	11	variable	variable	ADJ
ejpam-6274	812	12	exponents	exponent	NOUN
ejpam-6274	812	13	.	.	PUNCT
ejpam-6274	813	1	journal	journal	NOUN
ejpam-6274	813	2	of	of	ADP
ejpam-6274	813	3	function	function	NOUN
ejpam-6274	813	4	spaces	space	NOUN
ejpam-6274	813	5	and	and	CCONJ
ejpam-6274	813	6	applications	application	NOUN
ejpam-6274	813	7	,	,	PUNCT
ejpam-6274	813	8	2012:384593	2012:384593	NUM
ejpam-6274	813	9	,	,	PUNCT
ejpam-6274	813	10	2012	2012	NUM
ejpam-6274	813	11	.	.	PUNCT
ejpam-6274	814	1	[	[	X
ejpam-6274	814	2	54	54	NUM
ejpam-6274	814	3	]	]	PUNCT
ejpam-6274	814	4	b.	b.	PROPN
ejpam-6274	814	5	dong	dong	PROPN
ejpam-6274	814	6	and	and	CCONJ
ejpam-6274	814	7	j.	j.	PROPN
ejpam-6274	814	8	xu	xu	PROPN
ejpam-6274	814	9	.	.	PUNCT
ejpam-6274	815	1	herz	herz	PROPN
ejpam-6274	815	2	-	-	PUNCT
ejpam-6274	815	3	morrey	morrey	PROPN
ejpam-6274	815	4	type	type	NOUN
ejpam-6274	815	5	besov	besov	NOUN
ejpam-6274	815	6	and	and	CCONJ
ejpam-6274	815	7	triebel	triebel	NOUN
ejpam-6274	815	8	-	-	PUNCT
ejpam-6274	815	9	lizorkin	lizorkin	NOUN
ejpam-6274	815	10	spaces	space	NOUN
ejpam-6274	815	11	with	with	ADP
ejpam-6274	815	12	variable	variable	ADJ
ejpam-6274	815	13	exponents	exponent	NOUN
ejpam-6274	815	14	.	.	PUNCT
ejpam-6274	816	1	banach	banach	NOUN
ejpam-6274	816	2	journal	journal	NOUN
ejpam-6274	816	3	of	of	ADP
ejpam-6274	816	4	mathematical	mathematical	ADJ
ejpam-6274	816	5	analysis	analysis	NOUN
ejpam-6274	816	6	,	,	PUNCT
ejpam-6274	816	7	9(1):75–101	9(1):75–101	NUM
ejpam-6274	816	8	,	,	PUNCT
ejpam-6274	816	9	2015	2015	NUM
ejpam-6274	816	10	.	.	PUNCT
ejpam-6274	817	1	[	[	X
ejpam-6274	817	2	55	55	NUM
ejpam-6274	817	3	]	]	X
ejpam-6274	817	4	o.	o.	PROPN
ejpam-6274	817	5	kováčik	kováčik	PROPN
ejpam-6274	817	6	and	and	CCONJ
ejpam-6274	817	7	j.	j.	PROPN
ejpam-6274	817	8	rákosńık	rákosńık	PROPN
ejpam-6274	817	9	.	.	PUNCT
ejpam-6274	818	1	on	on	ADP
ejpam-6274	818	2	spaces	space	NOUN
ejpam-6274	818	3	lp(x	lp(x	PUNCT
ejpam-6274	818	4	)	)	PUNCT
ejpam-6274	818	5	and	and	CCONJ
ejpam-6274	818	6	wk	wk	PROPN
ejpam-6274	818	7	,	,	PUNCT
ejpam-6274	818	8	p(x	p(x	PROPN
ejpam-6274	818	9	)	)	PUNCT
ejpam-6274	818	10	.	.	PUNCT
ejpam-6274	819	1	czechoslovak	czechoslovak	ADJ
ejpam-6274	819	2	mathematical	mathematical	PROPN
ejpam-6274	819	3	journal	journal	PROPN
ejpam-6274	819	4	,	,	PUNCT
ejpam-6274	819	5	41(4):592–618	41(4):592–618	NOUN
ejpam-6274	819	6	,	,	PUNCT
ejpam-6274	819	7	1991	1991	NUM
ejpam-6274	819	8	.	.	PUNCT
ejpam-6274	820	1	[	[	X
ejpam-6274	820	2	56	56	NUM
ejpam-6274	820	3	]	]	X
ejpam-6274	820	4	d.	d.	PROPN
ejpam-6274	820	5	cruz	cruz	PROPN
ejpam-6274	820	6	-	-	PUNCT
ejpam-6274	820	7	uribe	uribe	PROPN
ejpam-6274	820	8	and	and	CCONJ
ejpam-6274	820	9	a.	a.	NOUN
ejpam-6274	820	10	fiorenza	fiorenza	PROPN
ejpam-6274	820	11	.	.	PUNCT
ejpam-6274	821	1	variable	variable	ADJ
ejpam-6274	821	2	lebesgue	lebesgue	PROPN
ejpam-6274	821	3	spaces	space	VERB
ejpam-6274	821	4	:	:	PUNCT
ejpam-6274	821	5	foundations	foundation	NOUN
ejpam-6274	821	6	and	and	CCONJ
ejpam-6274	821	7	harmonic	harmonic	ADJ
ejpam-6274	821	8	analysis	analysis	NOUN
ejpam-6274	821	9	.	.	PUNCT
ejpam-6274	822	1	applied	apply	VERB
ejpam-6274	822	2	and	and	CCONJ
ejpam-6274	822	3	numerical	numerical	ADJ
ejpam-6274	822	4	harmonic	harmonic	ADJ
ejpam-6274	822	5	analysis	analysis	NOUN
ejpam-6274	822	6	.	.	PUNCT
ejpam-6274	823	1	springer	springer	NOUN
ejpam-6274	823	2	,	,	PUNCT
ejpam-6274	823	3	heidelberg	heidelberg	PROPN
ejpam-6274	823	4	,	,	PUNCT
ejpam-6274	823	5	2013	2013	NUM
ejpam-6274	823	6	.	.	PUNCT
ejpam-6274	824	1	[	[	X
ejpam-6274	824	2	57	57	NUM
ejpam-6274	824	3	]	]	PUNCT
ejpam-6274	824	4	m.	m.	NOUN
ejpam-6274	824	5	izuki	izuki	PROPN
ejpam-6274	824	6	.	.	PUNCT
ejpam-6274	824	7	boundedness	boundedness	PROPN
ejpam-6274	824	8	of	of	ADP
ejpam-6274	824	9	commutators	commutator	NOUN
ejpam-6274	824	10	on	on	ADP
ejpam-6274	824	11	herz	herz	PROPN
ejpam-6274	824	12	spaces	space	NOUN
ejpam-6274	824	13	with	with	ADP
ejpam-6274	824	14	variable	variable	ADJ
ejpam-6274	824	15	exponent	exponent	NOUN
ejpam-6274	824	16	.	.	PUNCT
ejpam-6274	825	1	rendiconti	rendiconti	PROPN
ejpam-6274	825	2	del	del	PROPN
ejpam-6274	825	3	circolo	circolo	PROPN
ejpam-6274	825	4	matematico	matematico	NOUN
ejpam-6274	825	5	di	di	NOUN
ejpam-6274	825	6	palermo	palermo	NOUN
ejpam-6274	825	7	,	,	PUNCT
ejpam-6274	825	8	59(2):199–213	59(2):199–213	NUM
ejpam-6274	825	9	,	,	PUNCT
ejpam-6274	825	10	2010	2010	NUM
ejpam-6274	825	11	.	.	PUNCT
ejpam-6274	826	1	[	[	X
ejpam-6274	826	2	58	58	NUM
ejpam-6274	826	3	]	]	PUNCT
ejpam-6274	826	4	j.	j.	PROPN
ejpam-6274	826	5	peetre	peetre	PROPN
ejpam-6274	826	6	.	.	PUNCT
ejpam-6274	827	1	on	on	ADP
ejpam-6274	827	2	spaces	space	NOUN
ejpam-6274	827	3	of	of	ADP
ejpam-6274	827	4	triebel	triebel	NOUN
ejpam-6274	827	5	-	-	PUNCT
ejpam-6274	827	6	lizorkin	lizorkin	NOUN
ejpam-6274	827	7	type	type	NOUN
ejpam-6274	827	8	.	.	PUNCT
ejpam-6274	828	1	arkiv	arkiv	NOUN
ejpam-6274	828	2	för	för	NOUN
ejpam-6274	828	3	matematik	matematik	NOUN
ejpam-6274	828	4	,	,	PUNCT
ejpam-6274	828	5	13(1	13(1	NUM
ejpam-6274	828	6	-	-	SYM
ejpam-6274	828	7	2):123–130	2):123–130	NUM
ejpam-6274	828	8	,	,	PUNCT
ejpam-6274	828	9	1975	1975	NUM
ejpam-6274	828	10	.	.	PUNCT
ejpam-6274	829	1	[	[	X
ejpam-6274	829	2	59	59	NUM
ejpam-6274	829	3	]	]	PUNCT
ejpam-6274	829	4	t.	t.	PROPN
ejpam-6274	829	5	ullrich	ullrich	PROPN
ejpam-6274	829	6	.	.	PUNCT
ejpam-6274	830	1	continuous	continuous	ADJ
ejpam-6274	830	2	characterizations	characterization	NOUN
ejpam-6274	830	3	of	of	ADP
ejpam-6274	830	4	besov	besov	NOUN
ejpam-6274	830	5	-	-	PUNCT
ejpam-6274	830	6	lizorkin	lizorkin	ADJ
ejpam-6274	830	7	-	-	PUNCT
ejpam-6274	830	8	triebel	triebel	NOUN
ejpam-6274	830	9	spaces	space	NOUN
ejpam-6274	830	10	and	and	CCONJ
ejpam-6274	830	11	new	new	ADJ
ejpam-6274	830	12	m.	m.	NOUN
ejpam-6274	830	13	sultan	sultan	PROPN
ejpam-6274	830	14	,	,	PUNCT
ejpam-6274	830	15	b.	b.	PROPN
ejpam-6274	830	16	sultan	sultan	PROPN
ejpam-6274	830	17	,	,	PUNCT
ejpam-6274	830	18	i	i	PROPN
ejpam-6274	830	19	-	-	PUNCT
ejpam-6274	830	20	l.	l.	PROPN
ejpam-6274	830	21	popa	popa	PROPN
ejpam-6274	830	22	/	/	SYM
ejpam-6274	830	23	eur	eur	PROPN
ejpam-6274	830	24	.	.	PUNCT
ejpam-6274	831	1	j.	j.	PROPN
ejpam-6274	831	2	pure	pure	PROPN
ejpam-6274	831	3	appl	appl	PROPN
ejpam-6274	831	4	.	.	PROPN
ejpam-6274	831	5	math	math	PROPN
ejpam-6274	831	6	,	,	PUNCT
ejpam-6274	831	7	18	18	NUM
ejpam-6274	831	8	(	(	PUNCT
ejpam-6274	831	9	3	3	NUM
ejpam-6274	831	10	)	)	PUNCT
ejpam-6274	831	11	(	(	PUNCT
ejpam-6274	831	12	2025	2025	NUM
ejpam-6274	831	13	)	)	PUNCT
ejpam-6274	831	14	,	,	PUNCT
ejpam-6274	831	15	6274	6274	NUM
ejpam-6274	831	16	33	33	NUM
ejpam-6274	831	17	of	of	ADP
ejpam-6274	831	18	33	33	NUM
ejpam-6274	831	19	interpretations	interpretation	NOUN
ejpam-6274	831	20	as	as	ADP
ejpam-6274	831	21	coorbits	coorbit	NOUN
ejpam-6274	831	22	.	.	PUNCT
ejpam-6274	832	1	journal	journal	PROPN
ejpam-6274	832	2	of	of	ADP
ejpam-6274	832	3	function	function	NOUN
ejpam-6274	832	4	spaces	space	NOUN
ejpam-6274	832	5	and	and	CCONJ
ejpam-6274	832	6	applications	application	NOUN
ejpam-6274	832	7	,	,	PUNCT
ejpam-6274	832	8	2012:163213	2012:163213	NUM
ejpam-6274	832	9	,	,	PUNCT
ejpam-6274	832	10	2012	2012	NUM
ejpam-6274	832	11	.	.	PUNCT
ejpam-6274	833	1	[	[	X
ejpam-6274	833	2	60	60	NUM
ejpam-6274	833	3	]	]	X
ejpam-6274	833	4	v.	v.	PROPN
ejpam-6274	833	5	s.	s.	PROPN
ejpam-6274	833	6	rychkov	rychkov	PROPN
ejpam-6274	833	7	.	.	PUNCT
ejpam-6274	834	1	on	on	ADP
ejpam-6274	834	2	a	a	DET
ejpam-6274	834	3	theorem	theorem	NOUN
ejpam-6274	834	4	of	of	ADP
ejpam-6274	834	5	bui	bui	NOUN
ejpam-6274	834	6	,	,	PUNCT
ejpam-6274	834	7	paluszyński	paluszyński	VERB
ejpam-6274	834	8	,	,	PUNCT
ejpam-6274	834	9	and	and	CCONJ
ejpam-6274	834	10	taibleson	taibleson	PROPN
ejpam-6274	834	11	.	.	PUNCT
ejpam-6274	834	12	proceedings	proceeding	NOUN
ejpam-6274	834	13	of	of	ADP
ejpam-6274	834	14	the	the	DET
ejpam-6274	834	15	steklov	steklov	PROPN
ejpam-6274	834	16	institute	institute	PROPN
ejpam-6274	834	17	of	of	ADP
ejpam-6274	834	18	mathematics	mathematics	PROPN
ejpam-6274	834	19	,	,	PUNCT
ejpam-6274	834	20	227:286–298	227:286–298	NUM
ejpam-6274	834	21	,	,	PUNCT
ejpam-6274	834	22	1999	1999	NUM
ejpam-6274	834	23	.	.	PUNCT
ejpam-6274	835	1	[	[	X
ejpam-6274	835	2	61	61	NUM
ejpam-6274	835	3	]	]	PUNCT
ejpam-6274	835	4	m.	m.	NOUN
ejpam-6274	835	5	frazier	frazier	PROPN
ejpam-6274	835	6	and	and	CCONJ
ejpam-6274	835	7	b.	b.	PROPN
ejpam-6274	835	8	jawerth	jawerth	PROPN
ejpam-6274	835	9	.	.	PUNCT
ejpam-6274	836	1	decomposition	decomposition	NOUN
ejpam-6274	836	2	of	of	ADP
ejpam-6274	836	3	besov	besov	NOUN
ejpam-6274	836	4	spaces	space	NOUN
ejpam-6274	836	5	.	.	PUNCT
ejpam-6274	837	1	indiana	indiana	PROPN
ejpam-6274	837	2	university	university	PROPN
ejpam-6274	837	3	mathematics	mathematics	PROPN
ejpam-6274	837	4	journal	journal	PROPN
ejpam-6274	837	5	,	,	PUNCT
ejpam-6274	837	6	34(4):777–799	34(4):777–799	PROPN
ejpam-6274	837	7	,	,	PUNCT
ejpam-6274	837	8	1985	1985	NUM
ejpam-6274	837	9	.	.	PUNCT
ejpam-6274	838	1	[	[	X
ejpam-6274	838	2	62	62	NUM
ejpam-6274	838	3	]	]	PUNCT
ejpam-6274	838	4	e.	e.	PROPN
ejpam-6274	838	5	stein	stein	PROPN
ejpam-6274	838	6	and	and	CCONJ
ejpam-6274	838	7	g.	g.	PROPN
ejpam-6274	838	8	weiss	weiss	PROPN
ejpam-6274	838	9	.	.	PUNCT
ejpam-6274	839	1	introduction	introduction	NOUN
ejpam-6274	839	2	to	to	ADP
ejpam-6274	839	3	fourier	fourier	ADJ
ejpam-6274	839	4	analysis	analysis	NOUN
ejpam-6274	839	5	on	on	ADP
ejpam-6274	839	6	euclidean	euclidean	ADJ
ejpam-6274	839	7	spaces	space	NOUN
ejpam-6274	839	8	.	.	PUNCT
ejpam-6274	840	1	princeton	princeton	PROPN
ejpam-6274	840	2	university	university	PROPN
ejpam-6274	840	3	press	press	PROPN
ejpam-6274	840	4	,	,	PUNCT
ejpam-6274	840	5	princeton	princeton	PROPN
ejpam-6274	840	6	,	,	PUNCT
ejpam-6274	840	7	1971	1971	NUM
ejpam-6274	840	8	.	.	PUNCT