id	sid	tid	token	lemma	pos
m-191	1	1	suppose	suppose	VERB
m-191	1	2	that	that	SCONJ
m-191	1	3	α	α	PRON
m-191	1	4	∈r	∈r	NOUN
m-191	1	5	and	and	CCONJ
m-191	1	6	0	0	NUM
m-191	1	7	<	<	X
m-191	1	8	α	α	X
m-191	1	9	<	<	X
m-191	1	10	n.	n.	NOUN
m-191	1	11	the	the	DET
m-191	1	12	fractional	fractional	ADJ
m-191	1	13	integral	integral	ADJ
m-191	1	14	operator	operator	NOUN
m-191	1	15	or	or	CCONJ
m-191	1	16	potential	potential	ADJ
m-191	1	17	riesz	riesz	NOUN
m-191	1	18	iα	iα	NOUN
m-191	1	19	is	be	AUX
m-191	1	20	for	for	ADP
m-191	1	21	every	every	DET
m-191	1	22	x	x	PROPN
m-191	1	23	∈	∈	PROPN
m-191	1	24	rn	rn	PROPN
m-191	1	25	.	.	PROPN
m-191	1	26	size	size	PROPN
m-191	1	27	µ	µ	PROPN
m-191	1	28	which	which	PRON
m-191	1	29	satisfies	satisfy	VERB
m-191	1	30	the	the	DET
m-191	1	31	condition	condition	NOUN
m-191	1	32	of	of	ADP
m-191	1	33	growth	growth	NOUN
m-191	1	34	,	,	PUNCT
m-191	1	35	ie	ie	ADV
m-191	1	36	there	there	PRON
m-191	1	37	are	be	VERB
m-191	1	38	c	c	X
m-191	1	39	>	>	X
m-191	1	40	0	0	NUM
m-191	1	41	and	and	CCONJ
m-191	1	42	0	0	NUM
m-191	1	43	<	<	X
m-191	1	44	n	n	X
m-191	1	45	≤	≤	NUM
m-191	1	46	d	d	NOUN
m-191	1	47	so	so	SCONJ
m-191	1	48	that	that	SCONJ
m-191	1	49	µ	µ	X
m-191	1	50	(	(	PUNCT
m-191	1	51	b	b	X
m-191	1	52	(	(	PUNCT
m-191	1	53	x	x	NOUN
m-191	1	54	,	,	PUNCT
m-191	1	55	r	r	NOUN
m-191	1	56	)	)	PUNCT
m-191	1	57	)	)	PUNCT
m-191	1	58	≤	≤	NUM
m-191	1	59	crn	crn	NOUN
m-191	1	60	(	(	PUNCT
m-191	1	61	2)for	2)for	ADP
m-191	1	62	each	each	DET
m-191	1	63	ball	ball	NOUN
m-191	1	64	centered	center	VERB
m-191	1	65	on	on	ADP
m-191	1	66	x	x	SYM
m-191	1	67	µ	µ	X
m-191	1	68	)	)	PUNCT
m-191	1	69	is	be	AUX
m-191	1	70	called	call	VERB
m-191	1	71	a	a	DET
m-191	1	72	non	non	ADJ
m-191	1	73	-	-	ADJ
m-191	1	74	homogeneous	homogeneous	ADJ
m-191	1	75	space	space	NOUN
m-191	1	76	.	.	PUNCT
m-191	2	1	in	in	ADP
m-191	2	2	nonhomogeneous	nonhomogeneous	ADJ
m-191	2	3	space	space	NOUN
m-191	2	4	,	,	PUNCT
m-191	2	5	fractional	fractional	ADJ
m-191	2	6	integr	integr	NOUN
m-191	2	7	are	be	AUX
m-191	2	8	defined	define	VERB
m-191	2	9	as	as	ADP
m-191	2	10	with	with	ADP
m-191	2	11	for	for	ADP
m-191	2	12	0	0	NUM
m-191	2	13	<	<	X
m-191	2	14	α	α	X
m-191	2	15	<	<	X
m-191	2	16	n	n	X
m-191	2	17	≤	≤	ADJ
m-191	2	18	d	d	NOUN
m-191	2	19	and	and	CCONJ
m-191	2	20	x	x	PROPN
m-191	2	21	∈	∈	NOUN
m-191	2	22	sizes	size	NOUN
m-191	2	23	then	then	ADV
m-191	2	24	they	they	PRON
m-191	2	25	are	be	AUX
m-191	2	26	obtained	obtain	VERB
m-191	2	27	.	.	PUNCT
m-191	3	1	i.	i.	PROPN
m-191	3	2	introduction	introduction	NOUN
m-191	3	3	r	r	NOUN
m-191	3	4	and	and	CCONJ
m-191	3	5	0	0	NUM
m-191	3	6	<	<	X
m-191	3	7	α	α	X
m-191	3	8	<	<	X
m-191	3	9	n.	n.	NOUN
m-191	3	10	the	the	DET
m-191	3	11	fractional	fractional	ADJ
m-191	3	12	integral	integral	ADJ
m-191	3	13	operator	operator	NOUN
m-191	3	14	or	or	CCONJ
m-191	3	15	potential	potential	ADJ
m-191	3	16	riesz	riesz	NOUN
m-191	3	17	iα	iα	NOUN
m-191	3	18	is	be	AUX
m-191	3	19	)	)	PUNCT
m-191	3	20	−α	−α	NOUN
m-191	3	21	dy	dy	NOUN
m-191	3	22	(	(	PUNCT
m-191	3	23	1	1	NUM
m-191	3	24	)	)	PUNCT
m-191	3	25	n	n	PRON
m-191	3	26	rn	rn	PROPN
m-191	3	27	.	.	PROPN
m-191	3	28	size	size	PROPN
m-191	3	29	µ	µ	PROPN
m-191	3	30	which	which	PRON
m-191	3	31	satisfies	satisfy	VERB
m-191	3	32	the	the	DET
m-191	3	33	condition	condition	NOUN
m-191	3	34	of	of	ADP
m-191	3	35	growth	growth	NOUN
m-191	3	36	,	,	PUNCT
m-191	3	37	ie	ie	ADV
m-191	3	38	there	there	PRON
m-191	3	39	are	be	VERB
m-191	3	40	c	c	X
m-191	3	41	>	>	X
m-191	3	42	0	0	NUM
m-191	4	1	and	and	CCONJ
m-191	4	2	0	0	NUM
m-191	4	3	≤	≤	NUM
m-191	5	1	d	d	NOUN
m-191	5	2	so	so	SCONJ
m-191	5	3	that	that	SCONJ
m-191	5	4	µ	µ	X
m-191	5	5	(	(	PUNCT
m-191	5	6	b	b	X
m-191	5	7	(	(	PUNCT
m-191	5	8	x	x	NOUN
m-191	5	9	,	,	PUNCT
m-191	5	10	r	r	NOUN
m-191	5	11	)	)	PUNCT
m-191	5	12	)	)	PUNCT
m-191	5	13	≤	≤	NUM
m-191	5	14	crn	crn	NOUN
m-191	5	15	(	(	PUNCT
m-191	5	16	2)for	2)for	ADP
m-191	5	17	each	each	DET
m-191	5	18	ball	ball	NOUN
m-191	5	19	centered	center	VERB
m-191	5	20	on	on	ADP
m-191	5	21	x	x	SYM
m-191	5	22	∈rd	∈rd	NOUN
m-191	5	23	and	and	CCONJ
m-191	5	24	has	have	AUX
m-191	5	25	radius	radius	NOUN
m-191	5	26	r	r	NOUN
m-191	5	27	>	>	X
m-191	5	28	0	0	PUNCT
m-191	6	1	then	then	ADV
m-191	6	2	(	(	PUNCT
m-191	6	3	rd	rd	NOUN
m-191	6	4	,	,	PUNCT
m-191	6	5	homogeneous	homogeneous	ADJ
m-191	6	6	space	space	NOUN
m-191	6	7	.	.	PUNCT
m-191	7	1	in	in	ADP
m-191	7	2	nonhomogeneous	nonhomogeneous	ADJ
m-191	7	3	space	space	NOUN
m-191	7	4	,	,	PUNCT
m-191	7	5	fractional	fractional	PROPN
m-191	7	6	integr	integr	PROPN
m-191	7	7	rd	rd	PROPN
m-191	7	8	.	.	PUNCT
m-191	8	1	it	it	PRON
m-191	8	2	can	can	AUX
m-191	8	3	be	be	AUX
m-191	8	4	seen	see	VERB
m-191	8	5	that	that	SCONJ
m-191	8	6	if	if	SCONJ
m-191	8	7	n	n	NOUN
m-191	8	8	=	=	SYM
m-191	8	9	d	d	PROPN
m-191	8	10	and	and	CCONJ
m-191	8	11	µ	µ	PROPN
m-191	8	12	are	be	AUX
m-191	8	13	lebesgue	lebesgue	NOUN
m-191	8	14	sizes	size	NOUN
m-191	8	15	then	then	ADV
m-191	8	16	they	they	PRON
m-191	8	17	are	be	AUX
m-191	8	18	obtained	obtain	VERB
m-191	8	19	.	.	PUNCT
m-191	9	1	boundedness	boundedness	NOUN
m-191	9	2	of	of	ADP
m-191	9	3	generally	generally	ADV
m-191	9	4	fractional	fractional	ADJ
m-191	9	5	integral	integral	ADJ
m-191	9	6	operator	operator	NOUN
m-191	9	7	on	on	ADP
m-191	9	8	general	general	ADJ
m-191	9	9	morrey	morrey	PROPN
m-191	9	10	space	space	PROPN
m-191	9	11	lina	lina	PROPN
m-191	9	12	nurhayati1	nurhayati1	PROPN
m-191	9	13	,	,	PUNCT
m-191	9	14	hendra	hendra	PROPN
m-191	9	15	gunawan2	gunawan2	PROPN
m-191	9	16	,	,	PUNCT
m-191	9	17	iwan	iwan	PROPN
m-191	9	18	gunawan3	gunawan3	PROPN
m-191	9	19	,	,	PUNCT
m-191	9	20	haryono	haryono	VERB
m-191	9	21	edi	edi	PROPN
m-191	9	22	hermawan4	hermawan4	PROPN
m-191	9	23	,	,	PUNCT
m-191	9	24	universitas	universita	VERB
m-191	9	25	sangga	sangga	PROPN
m-191	9	26	buana1	buana1	PROPN
m-191	9	27	,	,	PUNCT
m-191	9	28	istitut	istitut	PROPN
m-191	9	29	teknologi	teknologi	PROPN
m-191	9	30	bandung2	bandung2	PROPN
m-191	9	31	,	,	PUNCT
m-191	9	32	universitas	universita	NOUN
m-191	9	33	langlang	langlang	NOUN
m-191	9	34	buana3	buana3	ADV
m-191	9	35	abstract	abstract	ADJ
m-191	9	36	.	.	PUNCT
m-191	10	1	in	in	ADP
m-191	10	2	this	this	DET
m-191	10	3	study	study	NOUN
m-191	10	4	i	i	PRON
m-191	10	5	will	will	AUX
m-191	10	6	discuss	discuss	VERB
m-191	10	7	the	the	DET
m-191	10	8	limits	limit	NOUN
m-191	10	9	of	of	ADP
m-191	10	10	fractional	fractional	ADJ
m-191	10	11	integral	integral	ADJ
m-191	10	12	operators	operator	NOUN
m-191	10	13	in	in	ADP
m-191	10	14	the	the	DET
m-191	10	15	homogeneous	homogeneous	ADJ
m-191	10	16	and	and	CCONJ
m-191	10	17	nonhomogeneous	nonhomogeneous	ADJ
m-191	10	18	lebesgue	lebesgue	NOUN
m-191	10	19	space	space	NOUN
m-191	10	20	,	,	PUNCT
m-191	10	21	the	the	DET
m-191	10	22	morrey	morrey	PROPN
m-191	10	23	space	space	NOUN
m-191	10	24	and	and	CCONJ
m-191	10	25	the	the	DET
m-191	10	26	general	general	ADJ
m-191	10	27	morrey	morrey	PROPN
m-191	10	28	space	space	NOUN
m-191	10	29	.	.	PUNCT
m-191	11	1	in	in	ADP
m-191	11	2	particular	particular	ADJ
m-191	11	3	,	,	PUNCT
m-191	11	4	in	in	ADP
m-191	11	5	this	this	DET
m-191	11	6	study	study	NOUN
m-191	11	7	it	it	PRON
m-191	11	8	will	will	AUX
m-191	11	9	be	be	AUX
m-191	11	10	proven	prove	VERB
m-191	11	11	that	that	SCONJ
m-191	11	12	the	the	DET
m-191	11	13	fractional	fractional	ADJ
m-191	11	14	integral	integral	ADJ
m-191	11	15	boundaries	boundary	NOUN
m-191	11	16	formulated	formulate	VERB
m-191	11	17	in	in	ADP
m-191	11	18	the	the	DET
m-191	11	19	morrey	morrey	PROPN
m-191	11	20	space	space	NOUN
m-191	11	21	are	be	AUX
m-191	11	22	generally	generally	ADV
m-191	11	23	not	not	PART
m-191	11	24	homogeneous	homogeneous	ADJ
m-191	11	25	.	.	PUNCT
m-191	12	1	evidence	evidence	NOUN
m-191	12	2	of	of	ADP
m-191	12	3	integral	integral	ADJ
m-191	12	4	fractional	fractional	ADJ
m-191	12	5	boundaries	boundary	NOUN
m-191	12	6	formulated	formulate	VERB
m-191	12	7	in	in	ADP
m-191	12	8	the	the	DET
m-191	12	9	morrey	morrey	PROPN
m-191	12	10	space	space	NOUN
m-191	12	11	is	be	AUX
m-191	12	12	generally	generally	ADV
m-191	12	13	not	not	PART
m-191	12	14	homogeneous	homogeneous	ADJ
m-191	12	15	using	use	VERB
m-191	12	16	the	the	DET
m-191	12	17	specified	specified	ADJ
m-191	12	18	maximum	maximum	ADJ
m-191	12	19	operator	operator	NOUN
m-191	12	20	properties	property	NOUN
m-191	12	21	in	in	ADP
m-191	12	22	space	space	NOUN
m-191	12	23	and	and	CCONJ
m-191	12	24	using	use	VERB
m-191	12	25	hedberg	hedberg	PROPN
m-191	12	26	's	's	PART
m-191	12	27	inequality	inequality	NOUN
m-191	12	28	.	.	PUNCT
m-191	13	1	this	this	DET
m-191	13	2	evidence	evidence	NOUN
m-191	13	3	is	be	AUX
m-191	13	4	an	an	DET
m-191	13	5	extension	extension	NOUN
m-191	13	6	of	of	ADP
m-191	13	7	hardy	hardy	ADJ
m-191	13	8	-	-	PUNCT
m-191	13	9	littlewood	littlewood	NOUN
m-191	13	10	-	-	PUNCT
m-191	13	11	sobolev	sobolev	NOUN
m-191	13	12	's	's	PART
m-191	13	13	inequality	inequality	NOUN
m-191	13	14	[	[	X
m-191	13	15	11	11	NUM
m-191	13	16	,	,	PUNCT
m-191	13	17	22	22	NUM
m-191	13	18	]	]	PUNCT
m-191	13	19	.	.	PUNCT
m-191	14	1	my	my	PRON
m-191	14	2	research	research	NOUN
m-191	14	3	related	relate	VERB
m-191	14	4	to	to	ADP
m-191	14	5	boundedness	boundedness	NOUN
m-191	14	6	of	of	ADP
m-191	14	7	generally	generally	ADV
m-191	14	8	fractional	fractional	ADJ
m-191	14	9	integral	integral	ADJ
m-191	14	10	operator	operator	NOUN
m-191	14	11	on	on	ADP
m-191	14	12	general	general	ADJ
m-191	14	13	morrey	morrey	PROPN
m-191	14	14	space	space	NOUN
m-191	14	15	as	as	ADP
m-191	14	16	a	a	DET
m-191	14	17	scientific	scientific	ADJ
m-191	14	18	work	work	NOUN
m-191	14	19	that	that	PRON
m-191	14	20	must	must	AUX
m-191	14	21	be	be	AUX
m-191	14	22	published	publish	VERB
m-191	14	23	in	in	ADP
m-191	14	24	an	an	DET
m-191	14	25	international	international	ADJ
m-191	14	26	journal	journal	NOUN
m-191	14	27	,	,	PUNCT
m-191	14	28	as	as	ADP
m-191	14	29	for	for	ADP
m-191	14	30	the	the	DET
m-191	14	31	results	result	NOUN
m-191	14	32	i	i	PRON
m-191	14	33	present	present	VERB
m-191	14	34	in	in	ADP
m-191	14	35	this	this	DET
m-191	14	36	journal	journal	NOUN
m-191	14	37	,	,	PUNCT
m-191	14	38	is	be	AUX
m-191	14	39	the	the	DET
m-191	14	40	result	result	NOUN
m-191	14	41	of	of	ADP
m-191	14	42	research	research	NOUN
m-191	14	43	r	r	NOUN
m-191	14	44	and	and	CCONJ
m-191	14	45	0	0	NUM
m-191	14	46	<	<	X
m-191	14	47	α	α	X
m-191	14	48	<	<	X
m-191	14	49	n.	n.	NOUN
m-191	14	50	the	the	DET
m-191	14	51	fractional	fractional	ADJ
m-191	14	52	integral	integral	ADJ
m-191	14	53	operator	operator	NOUN
m-191	14	54	or	or	CCONJ
m-191	14	55	potential	potential	ADJ
m-191	14	56	riesz	riesz	NOUN
m-191	14	57	iα	iα	NOUN
m-191	14	58	is	be	AUX
m-191	14	59	rn	rn	PROPN
m-191	14	60	.	.	PROPN
m-191	14	61	size	size	PROPN
m-191	14	62	µ	µ	PROPN
m-191	14	63	which	which	PRON
m-191	14	64	satisfies	satisfy	VERB
m-191	14	65	the	the	DET
m-191	14	66	condition	condition	NOUN
m-191	14	67	of	of	ADP
m-191	14	68	growth	growth	NOUN
m-191	14	69	,	,	PUNCT
m-191	14	70	ie	ie	ADV
m-191	14	71	there	there	PRON
m-191	14	72	are	be	VERB
m-191	14	73	c	c	X
m-191	14	74	>	>	X
m-191	14	75	0	0	NUM
m-191	15	1	and	and	CCONJ
m-191	15	2	0	0	NUM
m-191	15	3	rd	rd	NOUN
m-191	16	1	and	and	CCONJ
m-191	16	2	has	have	AUX
m-191	16	3	radius	radius	NOUN
m-191	16	4	r	r	NOUN
m-191	16	5	>	>	X
m-191	16	6	0	0	PUNCT
m-191	17	1	then	then	ADV
m-191	17	2	(	(	PUNCT
m-191	17	3	rd	rd	NOUN
m-191	17	4	,	,	PUNCT
m-191	17	5	homogeneous	homogeneous	ADJ
m-191	17	6	space	space	NOUN
m-191	17	7	.	.	PUNCT
m-191	18	1	in	in	ADP
m-191	18	2	nonhomogeneous	nonhomogeneous	ADJ
m-191	18	3	space	space	NOUN
m-191	18	4	,	,	PUNCT
m-191	18	5	fractional	fractional	ADJ
m-191	18	6	integral	integral	ADJ
m-191	18	7	operators	operator	NOUN
m-191	18	8	rd	rd	PROPN
m-191	18	9	.	.	PUNCT
m-191	19	1	it	it	PRON
m-191	19	2	can	can	AUX
m-191	19	3	be	be	AUX
m-191	19	4	seen	see	VERB
m-191	19	5	that	that	SCONJ
m-191	19	6	if	if	SCONJ
m-191	19	7	n	n	NOUN
m-191	19	8	=	=	SYM
m-191	19	9	d	d	PROPN
m-191	19	10	and	and	CCONJ
m-191	19	11	µ	µ	PROPN
m-191	19	12	are	be	AUX
m-191	19	13	lebesgue	lebesgue	ADJ
m-191	19	14	ijointernational	ijointernational	ADJ
m-191	19	15	journal	journal	NOUN
m-191	19	16	of	of	ADP
m-191	19	17	mathematics	mathematics	PROPN
m-191	19	18	(	(	PUNCT
m-191	19	19	issn	issn	PROPN
m-191	19	20	:	:	PUNCT
m-191	19	21	2805	2805	NUM
m-191	19	22	-	-	PUNCT
m-191	19	23	413x	413x	PROPN
m-191	19	24	)	)	PUNCT
m-191	19	25	volume	volume	NOUN
m-191	19	26	02	02	NUM
m-191	19	27	|issue	|issue	NOUN
m-191	19	28	07	07	NUM
m-191	20	1	|	|	CCONJ
m-191	20	2	july	july	PROPN
m-191	20	3	2019	2019	NUM
m-191	20	4	www.ijojournals.com	www.ijojournals.com	X
m-191	20	5	1	1	NUM
m-191	20	6	in	in	ADP
m-191	20	7	[	[	X
m-191	20	8	5	5	NUM
m-191	20	9	]	]	PUNCT
m-191	20	10	,	,	PUNCT
m-191	20	11	it	it	PRON
m-191	20	12	is	be	AUX
m-191	20	13	proven	prove	VERB
m-191	20	14	that	that	SCONJ
m-191	20	15	,	,	PUNCT
m-191	20	16	if	if	SCONJ
m-191	20	17	1	1	NUM
m-191	20	18	and	and	CCONJ
m-191	20	19	,	,	PUNCT
m-191	20	20	for	for	ADP
m-191	20	21	0	0	NUM
m-191	20	22	<	<	X
m-191	20	23	α	α	X
m-191	20	24	<	<	X
m-191	20	25	n	n	PRON
m-191	20	26	then	then	ADV
m-191	20	27	it	it	PRON
m-191	20	28	is	be	AUX
m-191	20	29	limited	limit	VERB
m-191	20	30	from	from	ADP
m-191	20	31	lebesgue	lebesgue	PROPN
m-191	20	32	non	non	PROPN
m-191	20	33	in	in	ADP
m-191	20	34	the	the	DET
m-191	20	35	wider	wide	ADJ
m-191	20	36	space	space	NOUN
m-191	20	37	of	of	ADP
m-191	20	38	the	the	DET
m-191	20	39	limited	limited	ADJ
m-191	20	40	lebesgue	lebesgue	NOUN
m-191	20	41	space	space	NOUN
m-191	20	42	from	from	ADP
m-191	20	43	the	the	DET
m-191	20	44	non	non	ADJ
m-191	20	45	space	space	NOUN
m-191	20	46	which	which	PRON
m-191	20	47	is	be	AUX
m-191	20	48	generally	generally	ADV
m-191	20	49	lp	lp	ADJ
m-191	20	50	,	,	PUNCT
m-191	20	51	φ	φ	PROPN
m-191	20	52	(	(	PUNCT
m-191	20	53	µ	µ	NOUN
m-191	20	54	)	)	PUNCT
m-191	20	55	to	to	ADP
m-191	20	56	lq	lq	PROPN
m-191	20	57	,	,	PUNCT
m-191	20	58	ψ	ψ	X
m-191	20	59	(	(	PUNCT
m-191	20	60	µ	µ	NOUN
m-191	20	61	)	)	PUNCT
m-191	20	62	.	.	PUNCT
m-191	21	1	for	for	ADP
m-191	21	2	any	any	DET
m-191	21	3	function	function	NOUN
m-191	21	4	f	f	PROPN
m-191	21	5	measured	measure	VERB
m-191	21	6	borel	borel	NOUN
m-191	21	7	size	size	NOUN
m-191	21	8	on	on	ADP
m-191	21	9	rd	rd	PROPN
m-191	21	10	that	that	PRON
m-191	21	11	satisfies	satisfy	VERB
m-191	21	12	the	the	DET
m-191	21	13	condition	condition	NOUN
m-191	21	14	of	of	ADP
m-191	21	15	growth	growth	NOUN
m-191	21	16	(	(	PUNCT
m-191	21	17	2	2	NUM
m-191	21	18	)	)	PUNCT
m-191	21	19	,	,	PUNCT
m-191	21	20	for	for	ADP
m-191	21	21	1	1	NUM
m-191	21	22	(	(	PUNCT
m-191	21	23	0	0	NUM
m-191	21	24	,	,	PUNCT
m-191	21	25	∞	∞	NUM
m-191	21	26	)	)	PUNCT
m-191	21	27	morrey	morrey	NOUN
m-191	21	28	space	space	NOUN
m-191	21	29	is	be	AUX
m-191	21	30	generally	generally	ADV
m-191	21	31	lp	lp	ADJ
m-191	21	32	,	,	PUNCT
m-191	21	33	||	||	PROPN
m-191	22	1	f	f	PROPN
m-191	22	2	||	||	PROPN
m-191	23	1	lp	lp	PROPN
m-191	23	2	,	,	PUNCT
m-191	23	3	φ	φ	PROPN
m-191	23	4	(	(	PUNCT
m-191	23	5	µ	µ	NOUN
m-191	23	6	)	)	PUNCT
m-191	23	7	<	<	X
m-191	23	8	∞	∞	NUM
m-191	23	9	}	}	PUNCT
m-191	23	10	with	with	ADP
m-191	23	11	for	for	ADP
m-191	23	12	0	0	NUM
m-191	23	13	<	<	X
m-191	23	14	α	α	X
m-191	23	15	<	<	X
m-191	23	16	n	n	X
m-191	23	17	≤	≤	ADJ
m-191	23	18	d	d	NOUN
m-191	23	19	and	and	CCONJ
m-191	23	20	x	x	PROPN
m-191	23	21	∈	∈	PROPN
m-191	23	22	rd	rd	PROPN
m-191	23	23	.	.	PUNCT
m-191	24	1	it	it	PRON
m-191	24	2	can	can	AUX
m-191	24	3	be	be	AUX
m-191	24	4	seen	see	VERB
m-191	24	5	that	that	SCONJ
m-191	24	6	if	if	SCONJ
m-191	24	7	n	n	NOUN
m-191	24	8	=	=	SYM
m-191	24	9	d	d	PROPN
m-191	24	10	and	and	CCONJ
m-191	24	11	µ	µ	PROPN
m-191	24	12	are	be	AUX
m-191	24	13	lebesgue	lebesgue	NOUN
m-191	24	14	sizes	size	NOUN
m-191	24	15	then	then	ADV
m-191	24	16	they	they	PRON
m-191	24	17	are	be	AUX
m-191	24	18	obtained.in	obtained.in	NUM
m-191	24	19	[	[	X
m-191	24	20	5	5	NUM
m-191	24	21	]	]	PUNCT
m-191	24	22	,	,	PUNCT
m-191	24	23	it	it	PRON
m-191	24	24	is	be	AUX
m-191	24	25	proven	prove	VERB
m-191	24	26	that	that	SCONJ
m-191	24	27	,	,	PUNCT
m-191	24	28	if	if	SCONJ
m-191	24	29	1	1	NUM
m-191	24	30	and	and	CCONJ
m-191	24	31	,	,	PUNCT
m-191	24	32	for	for	ADP
m-191	24	33	0	0	NUM
m-191	24	34	<	<	X
m-191	24	35	α	α	X
m-191	24	36	<	<	X
m-191	24	37	nthen	nthen	ADJ
m-191	24	38	it	it	PRON
m-191	24	39	is	be	AUX
m-191	24	40	limited	limit	VERB
m-191	24	41	from	from	ADP
m-191	24	42	lebesgue	lebesgue	PROPN
m-191	24	43	non	non	ADJ
m-191	24	44	homogeneous	homogeneous	ADJ
m-191	24	45	space	space	NOUN
m-191	24	46	lp	lp	PROPN
m-191	24	47	(	(	PUNCT
m-191	24	48	µ	µ	NOUN
m-191	24	49	)	)	PUNCT
m-191	24	50	to	to	ADP
m-191	24	51	lq	lq	X
m-191	24	52	(	(	PUNCT
m-191	24	53	µ	µ	NOUN
m-191	24	54	)	)	PUNCT
m-191	24	55	.	.	PUNCT
m-191	25	1	furthermore	furthermore	ADV
m-191	25	2	,	,	PUNCT
m-191	25	3	in	in	ADP
m-191	25	4	the	the	DET
m-191	25	5	wider	wide	ADJ
m-191	25	6	space	space	NOUN
m-191	25	7	of	of	ADP
m-191	25	8	the	the	DET
m-191	25	9	limited	limited	ADJ
m-191	25	10	lebesg	lebesg	NOUN
m-191	25	11	space	space	NOUN
m-191	25	12	from	from	ADP
m-191	25	13	the	the	DET
m-191	25	14	non	non	ADJ
m-191	25	15	-	-	ADJ
m-191	25	16	homogeneous	homogeneous	ADJ
m-191	25	17	morrey	morrey	PROPN
m-191	25	18	space	space	NOUN
m-191	25	19	which	which	PRON
m-191	25	20	is	be	AUX
m-191	25	21	generally	generally	ADV
m-191	25	22	lp	lp	ADJ
m-191	25	23	,	,	PUNCT
m-191	25	24	φ	φ	PROPN
m-191	25	25	(	(	PUNCT
m-191	25	26	µ	µ	NOUN
m-191	25	27	)	)	PUNCT
m-191	25	28	to	to	ADP
m-191	25	29	lq	lq	PROPN
m-191	25	30	,	,	PUNCT
m-191	25	31	ψ	ψ	X
m-191	25	32	(	(	PUNCT
m-191	25	33	µ	µ	NOUN
m-191	25	34	)	)	PUNCT
m-191	25	35	.	.	PUNCT
m-191	26	1	for	for	ADP
m-191	26	2	any	any	DET
m-191	26	3	function	function	NOUN
m-191	26	4	f	f	PROPN
m-191	26	5	measured-µ	measured-µ	NOUN
m-191	26	6	with	with	ADP
m-191	26	7	µ	µ	PROPN
m-191	26	8	borel	borel	NOUN
m-191	26	9	size	size	NOUN
m-191	26	10	on	on	ADP
m-191	26	11	rd	rd	PROPN
m-191	26	12	that	that	PRON
m-191	26	13	satisfies	satisfy	VERB
m-191	26	14	the	the	DET
m-191	26	15	condition	condition	NOUN
m-191	26	16	of	of	ADP
m-191	26	17	growth	growth	NOUN
m-191	26	18	(	(	PUNCT
m-191	26	19	2	2	NUM
m-191	26	20	)	)	PUNCT
m-191	26	21	,	,	PUNCT
m-191	26	22	for	for	ADP
m-191	26	23	1	1	NUM
m-191	26	24	≤	≤	NOUN
m-191	26	25	p	p	DET
m-191	26	26	<	<	X
m-191	26	27	∞	∞	PROPN
m-191	26	28	and	and	CCONJ
m-191	26	29	φ	φ	NUM
m-191	26	30	:	:	PUNCT
m-191	26	31	(	(	PUNCT
m-191	26	32	0	0	NUM
m-191	26	33	,	,	PUNCT
m-191	26	34	∞	∞	PROPN
m-191	26	35	)	)	PUNCT
m-191	26	36	→	→	SYM
m-191	26	37	(	(	PUNCT
m-191	26	38	0	0	NUM
m-191	26	39	,	,	PUNCT
m-191	26	40	∞	∞	NUM
m-191	26	41	)	)	PUNCT
m-191	26	42	morrey	morrey	NOUN
m-191	26	43	space	space	NOUN
m-191	26	44	is	be	AUX
m-191	26	45	generally	generally	ADV
m-191	26	46	lp	lp	ADJ
m-191	26	47	,	,	PUNCT
m-191	26	48	φ	φ	PROPN
m-191	26	49	{	{	PUNCT
m-191	26	50	f	f	PROPN
m-191	26	51	∈	∈	PROPN
m-191	26	52	lploc	lploc	NOUN
m-191	26	53	(	(	PUNCT
m-191	26	54	µ	µ	NOUN
m-191	26	55	):	):	PUNCT
m-191	26	56	||	||	PROPN
m-191	27	1	f	f	PROPN
m-191	27	2	||	||	PROPN
m-191	28	1	lp	lp	PROPN
m-191	28	2	,	,	PUNCT
m-191	28	3	φ	φ	PROPN
m-191	28	4	(	(	PUNCT
m-191	28	5	µ	µ	NOUN
m-191	28	6	)	)	PUNCT
m-191	28	7	<	<	X
m-191	28	8	∞	∞	NUM
m-191	28	9	}	}	PUNCT
m-191	28	10	with	with	ADP
m-191	28	11	with	with	ADP
m-191	28	12	the	the	DET
m-191	28	13	function	function	NOUN
m-191	28	14	φ	φ	PROPN
m-191	28	15	is	be	AUX
m-191	28	16	a	a	DET
m-191	28	17	positive	positive	ADJ
m-191	28	18	function	function	NOUN
m-191	28	19	where	where	SCONJ
m-191	28	20	φ	φ	NOUN
m-191	28	21	:	:	PUNCT
m-191	28	22	(	(	PUNCT
m-191	28	23	0	0	NUM
m-191	28	24	,	,	PUNCT
m-191	28	25	∞	∞	PROPN
m-191	28	26	)	)	PUNCT
m-191	28	27	→	→	SYM
m-191	28	28	(	(	PUNCT
m-191	28	29	0	0	NUM
m-191	28	30	,	,	PUNCT
m-191	28	31	∞	∞	PROPN
m-191	28	32	)	)	PUNCT
m-191	28	33	which	which	PRON
m-191	28	34	must	must	AUX
m-191	28	35	fulfill	fulfill	VERB
m-191	28	36	the	the	DET
m-191	28	37	following	follow	VERB
m-191	28	38	two	two	NUM
m-191	28	39	conditions	condition	NOUN
m-191	28	40	,	,	PUNCT
m-191	28	41	1	1	X
m-191	28	42	.	.	PUNCT
m-191	29	1	the	the	DET
m-191	29	2	function	function	NOUN
m-191	29	3	φ	φ	X
m-191	29	4	(	(	PUNCT
m-191	29	5	r	r	NOUN
m-191	29	6	)	)	PUNCT
m-191	29	7	is	be	AUX
m-191	29	8	almost	almost	ADV
m-191	29	9	down	down	ADV
m-191	29	10	,	,	PUNCT
m-191	29	11	namely	namely	ADV
m-191	29	12	there	there	PRON
m-191	29	13	is	be	VERB
m-191	29	14	a	a	DET
m-191	29	15	cons	con	NOUN
m-191	29	16	applies	apply	VERB
m-191	29	17	φ	φ	PROPN
m-191	29	18	(	(	PUNCT
m-191	29	19	r	r	NOUN
m-191	29	20	)	)	PUNCT
m-191	29	21	≥	≥	NOUN
m-191	29	22	cφ	cφ	NOUN
m-191	29	23	(	(	PUNCT
m-191	29	24	s	s	NOUN
m-191	29	25	)	)	PUNCT
m-191	29	26	.	.	PUNCT
m-191	30	1	2	2	X
m-191	30	2	.	.	X
m-191	30	3	the	the	DET
m-191	30	4	function	function	NOUN
m-191	30	5	rαφ	rαφ	NOUN
m-191	30	6	(	(	PUNCT
m-191	30	7	r	r	NOUN
m-191	30	8	)	)	PUNCT
m-191	30	9	p	p	NOUN
m-191	30	10	almost	almost	ADV
m-191	30	11	rises	rise	VERB
m-191	30	12	,	,	PUNCT
m-191	30	13	that	that	ADV
m-191	30	14	is	is	ADV
m-191	30	15	,	,	PUNCT
m-191	30	16	there	there	PRON
m-191	30	17	is	be	VERB
m-191	30	18	a	a	DET
m-191	30	19	constant	constant	ADJ
m-191	30	20	c	c	NOUN
m-191	30	21	>	>	X
m-191	30	22	0	0	NUM
m-191	30	23	such	such	ADJ
m-191	30	24	that	that	PRON
m-191	30	25	for	for	ADP
m-191	30	26	each	each	DET
m-191	30	27	r≤s	r≤s	PROPN
m-191	30	28	applies	applies	PART
m-191	30	29	rαφ	rαφ	NOUN
m-191	30	30	(	(	PUNCT
m-191	30	31	r	r	NOUN
m-191	30	32	)	)	PUNCT
m-191	30	33	p	p	NOUN
m-191	30	34	≤	≤	ADJ
m-191	30	35	csαφ	csαφ	NOUN
m-191	30	36	(	(	PUNCT
m-191	30	37	s	s	NOUN
m-191	30	38	)	)	PUNCT
m-191	30	39	p.	p.	NOUN
m-191	30	40	because	because	SCONJ
m-191	30	41	both	both	PRON
m-191	30	42	of	of	ADP
m-191	30	43	these	these	DET
m-191	30	44	requirements	requirement	NOUN
m-191	30	45	must	must	AUX
m-191	30	46	be	be	AUX
m-191	30	47	fulfilled	fulfil	VERB
m-191	30	48	by	by	ADP
m-191	30	49	the	the	DET
m-191	30	50	function	function	NOUN
m-191	30	51	doubling	double	VERB
m-191	30	52	condition	condition	NOUN
m-191	30	53	,	,	PUNCT
m-191	30	54	namely	namely	ADV
m-191	30	55	there	there	PRON
m-191	30	56	is	be	VERB
m-191	30	57	a	a	DET
m-191	30	58	constant	constant	ADJ
m-191	30	59	c	c	NOUN
m-191	30	60	>	>	X
m-191	30	61	0	0	NUM
m-191	31	1	such	such	ADJ
m-191	31	2	that	that	SCONJ
m-191	31	3	if	if	SCONJ
m-191	31	4	proposition	proposition	NOUN
m-191	31	5	1	1	NUM
m-191	31	6	and	and	CCONJ
m-191	31	7	lemma	lemma	PROPN
m-191	31	8	2	2	NUM
m-191	31	9	below	below	ADV
m-191	31	10	.	.	PUNCT
m-191	32	1	proposition	proposition	NOUN
m-191	32	2	1	1	NUM
m-191	32	3	.	.	PUNCT
m-191	32	4	suppose	suppose	VERB
m-191	32	5	that	that	SCONJ
m-191	32	6	ω	ω	PROPN
m-191	32	7	is	be	AUX
m-191	32	8	a	a	DET
m-191	32	9	non	non	ADJ
m-191	32	10	f	f	PROPN
m-191	32	11	is	be	AUX
m-191	32	12	neutralized	neutralize	VERB
m-191	32	13	locally	locally	ADV
m-191	32	14	at	at	ADP
m-191	32	15	rd	rd	PROPN
m-191	32	16	,	,	PUNCT
m-191	32	17	for	for	ADP
m-191	32	18	z	z	NOUN
m-191	32	19	z	z	NOUN
m-191	32	20	|mµf(x)|pω(x)dµ(x	|mµf(x)|pω(x)dµ(x	NUM
m-191	32	21	)	)	PUNCT
m-191	32	22	≤	≤	NUM
m-191	32	23	c	c	PROPN
m-191	32	24	|f	|f	PROPN
m-191	32	25	(	(	PUNCT
m-191	32	26	rd	rd	PROPN
m-191	32	27	rd	rd	PROPN
m-191	32	28	the	the	DET
m-191	32	29	above	above	ADJ
m-191	32	30	inequality	inequality	NOUN
m-191	32	31	is	be	AUX
m-191	32	32	called	call	VERB
m-191	32	33	the	the	DET
m-191	32	34	fefferman	fefferman	ADJ
m-191	32	35	page	page	NOUN
m-191	32	36	29	29	NUM
m-191	32	37	.	.	PUNCT
m-191	33	1	lemma	lemma	PROPN
m-191	33	2	2	2	NUM
m-191	33	3	.	.	PUNCT
m-191	34	1	if	if	SCONJ
m-191	34	2	the	the	DET
m-191	34	3	function	function	NOUN
m-191	34	4	φ	φ	NOUN
m-191	34	5	:	:	PUNCT
m-191	34	6	(	(	PUNCT
m-191	34	7	0	0	NUM
m-191	34	8	,	,	PUNCT
m-191	34	9	∞	∞	PROPN
m-191	34	10	)	)	PUNCT
m-191	34	11	→	→	SYM
m-191	34	12	(	(	PUNCT
m-191	34	13	0	0	NUM
m-191	34	14	,	,	PUNCT
m-191	34	15	∞	∞	NUM
m-191	34	16	)	)	PUNCT
m-191	34	17	satisfies	satisfy	VERB
m-191	34	18	the	the	PRON
m-191	34	19	in	in	ADP
m-191	34	20	[	[	X
m-191	34	21	5	5	NUM
m-191	34	22	]	]	PUNCT
m-191	34	23	,	,	PUNCT
m-191	34	24	it	it	PRON
m-191	34	25	is	be	AUX
m-191	34	26	proven	prove	VERB
m-191	34	27	that	that	SCONJ
m-191	34	28	,	,	PUNCT
m-191	34	29	if	if	SCONJ
m-191	34	30	1	1	NUM
m-191	34	31	and	and	CCONJ
m-191	34	32	,	,	PUNCT
m-191	34	33	for	for	ADP
m-191	34	34	0	0	NUM
m-191	34	35	<	<	X
m-191	34	36	α	α	X
m-191	34	37	<	<	X
m-191	34	38	n	n	PRON
m-191	34	39	hen	hen	NOUN
m-191	34	40	it	it	PRON
m-191	34	41	is	be	AUX
m-191	34	42	limited	limit	VERB
m-191	34	43	from	from	ADP
m-191	34	44	lebesgue	lebesgue	PROPN
m-191	34	45	non	non	ADJ
m-191	34	46	-	-	ADJ
m-191	34	47	homogeneous	homogeneous	ADJ
m-191	34	48	space	space	NOUN
m-191	34	49	lp	lp	NOUN
m-191	34	50	(	(	PUNCT
m-191	34	51	µ	µ	NOUN
m-191	34	52	)	)	PUNCT
m-191	34	53	to	to	ADP
m-191	34	54	lq	lq	X
m-191	34	55	(	(	PUNCT
m-191	34	56	µ	µ	NOUN
m-191	34	57	)	)	PUNCT
m-191	34	58	.	.	PUNCT
m-191	35	1	furthermore	furthermore	ADV
m-191	35	2	,	,	PUNCT
m-191	35	3	in	in	ADP
m-191	35	4	the	the	DET
m-191	35	5	wider	wide	ADJ
m-191	35	6	space	space	NOUN
m-191	35	7	of	of	ADP
m-191	35	8	the	the	DET
m-191	35	9	limited	limited	ADJ
m-191	35	10	lebesgue	lebesgue	NOUN
m-191	35	11	space	space	NOUN
m-191	35	12	from	from	ADP
m-191	35	13	the	the	DET
m-191	35	14	non	non	ADJ
m-191	35	15	-	-	ADJ
m-191	35	16	homogeneous	homogeneous	ADJ
m-191	35	17	morrey	morrey	PROPN
m-191	35	18	space	space	NOUN
m-191	35	19	which	which	PRON
m-191	35	20	is	be	AUX
m-191	35	21	generally	generally	ADV
m-191	35	22	lp	lp	ADJ
m-191	35	23	,	,	PUNCT
m-191	35	24	φ	φ	PROPN
m-191	35	25	(	(	PUNCT
m-191	35	26	µ	µ	NOUN
m-191	35	27	)	)	PUNCT
m-191	35	28	to	to	ADP
m-191	35	29	lq	lq	PROPN
m-191	35	30	,	,	PUNCT
m-191	35	31	ψ	ψ	X
m-191	35	32	(	(	PUNCT
m-191	35	33	µ	µ	NOUN
m-191	35	34	)	)	PUNCT
m-191	35	35	.	.	PUNCT
m-191	36	1	for	for	ADP
m-191	36	2	any	any	DET
m-191	36	3	function	function	NOUN
m-191	36	4	f	f	PROPN
m-191	36	5	measured	measure	VERB
m-191	36	6	l	l	NOUN
m-191	36	7	size	size	NOUN
m-191	36	8	on	on	ADP
m-191	36	9	rd	rd	NOUN
m-191	36	10	that	that	PRON
m-191	36	11	satisfies	satisfy	VERB
m-191	36	12	the	the	DET
m-191	36	13	condition	condition	NOUN
m-191	36	14	of	of	ADP
m-191	36	15	growth	growth	NOUN
m-191	36	16	(	(	PUNCT
m-191	36	17	2	2	NUM
m-191	36	18	)	)	PUNCT
m-191	36	19	,	,	PUNCT
m-191	36	20	for	for	ADP
m-191	36	21	1	1	NUM
m-191	36	22	≤	≤	NOUN
m-191	36	23	p	p	DET
m-191	36	24	<	<	X
m-191	36	25	∞	∞	PROPN
m-191	36	26	and	and	CCONJ
m-191	36	27	∞	∞	NUM
m-191	36	28	)	)	PUNCT
m-191	36	29	morrey	morrey	NOUN
m-191	36	30	space	space	NOUN
m-191	36	31	is	be	AUX
m-191	36	32	generally	generally	ADV
m-191	36	33	lp	lp	ADJ
m-191	36	34	,	,	PUNCT
m-191	36	35	φ	φ	PROPN
m-191	36	36	(	(	PUNCT
m-191	36	37	µ	µ	NOUN
m-191	36	38	)	)	PUNCT
m-191	36	39	=	=	SYM
m-191	37	1	lp	lp	PROPN
m-191	37	2	,	,	PUNCT
m-191	37	3	φ	φ	PROPN
m-191	37	4	(	(	PUNCT
m-191	37	5	rd	rd	PROPN
m-191	37	6	,	,	PUNCT
m-191	37	7	µ	µ	NOUN
m-191	37	8	)	)	PUNCT
m-191	37	9	is	be	AUX
m-191	37	10	lp	lp	PROPN
m-191	37	11	,	,	PUNCT
m-191	37	12	φ	φ	PROPN
m-191	37	13	(	(	PUNCT
m-191	37	14	µ	µ	NOUN
m-191	37	15	)	)	PUNCT
m-191	37	16	=	=	PRON
m-191	38	1	{	{	PUNCT
m-191	38	2	f	f	PROPN
m-191	38	3	.	.	PUNCT
m-191	38	4	rd	rd	PROPN
m-191	38	5	.	.	PUNCT
m-191	39	1	it	it	PRON
m-191	39	2	can	can	AUX
m-191	39	3	be	be	AUX
m-191	39	4	seen	see	VERB
m-191	39	5	that	that	SCONJ
m-191	39	6	if	if	SCONJ
m-191	39	7	n	n	NOUN
m-191	39	8	=	=	SYM
m-191	39	9	d	d	PROPN
m-191	39	10	and	and	CCONJ
m-191	39	11	µ	µ	PROPN
m-191	39	12	are	be	AUX
m-191	39	13	lebesgue	lebesgue	NOUN
m-191	39	14	sizes	size	NOUN
m-191	39	15	then	then	ADV
m-191	39	16	they	they	PRON
m-191	39	17	are	be	AUX
m-191	39	18	obtained.in	obtained.in	NUM
m-191	39	19	[	[	X
m-191	39	20	5	5	NUM
m-191	39	21	]	]	PUNCT
m-191	39	22	,	,	PUNCT
m-191	39	23	it	it	PRON
m-191	39	24	is	be	AUX
m-191	39	25	proven	prove	VERB
m-191	39	26	that	that	SCONJ
m-191	39	27	,	,	PUNCT
m-191	39	28	if	if	SCONJ
m-191	39	29	1	1	NUM
m-191	39	30	and	and	CCONJ
m-191	39	31	,	,	PUNCT
m-191	39	32	for	for	ADP
m-191	39	33	0	0	NUM
m-191	39	34	<	<	X
m-191	39	35	α	α	X
m-191	39	36	<	<	X
m-191	39	37	nthen	nthen	ADJ
m-191	39	38	it	it	PRON
m-191	39	39	is	be	AUX
m-191	39	40	limited	limit	VERB
m-191	39	41	from	from	ADP
m-191	39	42	lebesgue	lebesgue	PROPN
m-191	39	43	non	non	ADJ
m-191	39	44	homogeneous	homogeneous	ADJ
m-191	39	45	space	space	NOUN
m-191	39	46	lp	lp	PROPN
m-191	39	47	(	(	PUNCT
m-191	39	48	µ	µ	NOUN
m-191	39	49	)	)	PUNCT
m-191	39	50	to	to	ADP
m-191	39	51	lq	lq	X
m-191	39	52	(	(	PUNCT
m-191	39	53	µ	µ	NOUN
m-191	39	54	)	)	PUNCT
m-191	39	55	.	.	PUNCT
m-191	40	1	furthermore	furthermore	ADV
m-191	40	2	,	,	PUNCT
m-191	40	3	in	in	ADP
m-191	40	4	the	the	DET
m-191	40	5	wider	wide	ADJ
m-191	40	6	space	space	NOUN
m-191	40	7	of	of	ADP
m-191	40	8	the	the	DET
m-191	40	9	limited	limited	ADJ
m-191	40	10	lebesg	lebesg	NOUN
m-191	40	11	homogeneous	homogeneous	ADJ
m-191	40	12	morrey	morrey	PROPN
m-191	40	13	space	space	NOUN
m-191	40	14	which	which	PRON
m-191	40	15	is	be	AUX
m-191	40	16	generally	generally	ADV
m-191	40	17	lp	lp	ADJ
m-191	40	18	,	,	PUNCT
m-191	40	19	φ	φ	PROPN
m-191	40	20	(	(	PUNCT
m-191	40	21	µ	µ	NOUN
m-191	40	22	)	)	PUNCT
m-191	40	23	to	to	ADP
m-191	40	24	lq	lq	PROPN
m-191	40	25	,	,	PUNCT
m-191	40	26	ψ	ψ	X
m-191	40	27	(	(	PUNCT
m-191	40	28	µ	µ	NOUN
m-191	40	29	)	)	PUNCT
m-191	40	30	.	.	PUNCT
m-191	41	1	for	for	ADP
m-191	41	2	µ	µ	PROPN
m-191	41	3	with	with	ADP
m-191	41	4	µ	µ	PROPN
m-191	41	5	borel	borel	NOUN
m-191	41	6	size	size	NOUN
m-191	41	7	on	on	ADP
m-191	41	8	rd	rd	PROPN
m-191	41	9	that	that	PRON
m-191	41	10	satisfies	satisfy	VERB
m-191	41	11	the	the	DET
m-191	41	12	condition	condition	NOUN
m-191	41	13	of	of	ADP
m-191	41	14	growth	growth	NOUN
m-191	41	15	(	(	PUNCT
m-191	41	16	2	2	NUM
m-191	41	17	)	)	PUNCT
m-191	41	18	,	,	PUNCT
m-191	41	19	for	for	ADP
m-191	41	20	1	1	NUM
m-191	41	21	φ	φ	NOUN
m-191	41	22	:	:	PUNCT
m-191	41	23	(	(	PUNCT
m-191	41	24	0	0	NUM
m-191	41	25	,	,	PUNCT
m-191	41	26	∞	∞	PROPN
m-191	41	27	)	)	PUNCT
m-191	41	28	→	→	SYM
m-191	41	29	(	(	PUNCT
m-191	41	30	0	0	NUM
m-191	41	31	,	,	PUNCT
m-191	41	32	∞	∞	NUM
m-191	41	33	)	)	PUNCT
m-191	41	34	morrey	morrey	NOUN
m-191	41	35	space	space	NOUN
m-191	41	36	is	be	AUX
m-191	41	37	generally	generally	ADV
m-191	41	38	lp	lp	ADJ
m-191	41	39	,	,	PUNCT
m-191	41	40	φ	φ	PROPN
m-191	41	41	(	(	PUNCT
m-191	41	42	µ	µ	NOUN
m-191	41	43	)	)	PUNCT
m-191	42	1	=	=	SYM
m-191	42	2	lp	lp	PROPN
m-191	42	3	,	,	PUNCT
m-191	42	4	φ	φ	PROPN
m-191	42	5	(	(	PUNCT
m-191	42	6	rd	rd	PROPN
m-191	42	7	,	,	PUNCT
m-191	42	8	µ	µ	NOUN
m-191	42	9	)	)	PUNCT
m-191	42	10	is	be	AUX
m-191	42	11	lp	lp	PROPN
m-191	42	12	,	,	PUNCT
m-191	42	13	φ	φ	PROPN
m-191	42	14	(	(	PUNCT
m-191	42	15	µ	µ	NOUN
m-191	42	16	)	)	PUNCT
m-191	42	17	=	=	SYM
m-191	42	18	lploc	lploc	NOUN
m-191	42	19	(	(	PUNCT
m-191	42	20	µ	µ	NOUN
m-191	42	21	):	):	PUNCT
m-191	42	22	||	||	PROPN
m-191	43	1	f	f	PROPN
m-191	43	2	||	||	PROPN
m-191	44	1	lp	lp	PROPN
m-191	44	2	,	,	PUNCT
m-191	44	3	φ	φ	PROPN
m-191	44	4	(	(	PUNCT
m-191	44	5	µ	µ	NOUN
m-191	44	6	)	)	PUNCT
m-191	44	7	<	<	X
m-191	44	8	∞	∞	NUM
m-191	44	9	}	}	PUNCT
m-191	44	10	with	with	ADP
m-191	44	11	with	with	ADP
m-191	44	12	the	the	DET
m-191	44	13	function	function	NOUN
m-191	44	14	φ	φ	PROPN
m-191	44	15	is	be	AUX
m-191	44	16	a	a	DET
m-191	44	17	positive	positive	ADJ
m-191	44	18	function	function	NOUN
m-191	44	19	where	where	SCONJ
m-191	44	20	φ	φ	NOUN
m-191	44	21	:	:	PUNCT
m-191	44	22	(	(	PUNCT
m-191	44	23	0	0	NUM
m-191	44	24	,	,	PUNCT
m-191	44	25	∞	∞	PROPN
m-191	44	26	)	)	PUNCT
m-191	44	27	→	→	SYM
m-191	44	28	(	(	PUNCT
m-191	44	29	0	0	NUM
m-191	44	30	,	,	PUNCT
m-191	44	31	∞	∞	PROPN
m-191	44	32	)	)	PUNCT
m-191	44	33	which	which	PRON
m-191	44	34	must	must	AUX
m-191	44	35	fulfill	fulfill	VERB
m-191	44	36	the	the	DET
m-191	44	37	1	1	NUM
m-191	44	38	.	.	PUNCT
m-191	45	1	the	the	DET
m-191	45	2	function	function	NOUN
m-191	45	3	φ	φ	X
m-191	45	4	(	(	PUNCT
m-191	45	5	r	r	NOUN
m-191	45	6	)	)	PUNCT
m-191	45	7	is	be	AUX
m-191	45	8	almost	almost	ADV
m-191	45	9	down	down	ADV
m-191	45	10	,	,	PUNCT
m-191	45	11	namely	namely	ADV
m-191	45	12	there	there	PRON
m-191	45	13	is	be	VERB
m-191	45	14	a	a	DET
m-191	45	15	constant	constant	ADJ
m-191	45	16	c	c	NOUN
m-191	45	17	>	>	X
m-191	45	18	0	0	NUM
m-191	45	19	such	such	ADJ
m-191	45	20	that	that	PRON
m-191	45	21	for	for	ADP
m-191	45	22	each	each	DET
m-191	45	23	r	r	NOUN
m-191	45	24	r	r	NOUN
m-191	45	25	s	s	NOUN
m-191	45	26	2	2	NUM
m-191	45	27	.	.	PUNCT
m-191	46	1	the	the	DET
m-191	46	2	function	function	NOUN
m-191	46	3	rαφ	rαφ	NOUN
m-191	46	4	(	(	PUNCT
m-191	46	5	r	r	NOUN
m-191	46	6	)	)	PUNCT
m-191	46	7	p	p	NOUN
m-191	46	8	almost	almost	ADV
m-191	46	9	rises	rise	VERB
m-191	46	10	,	,	PUNCT
m-191	46	11	that	that	ADV
m-191	46	12	is	is	ADV
m-191	46	13	,	,	PUNCT
m-191	46	14	there	there	PRON
m-191	46	15	is	be	VERB
m-191	46	16	a	a	DET
m-191	46	17	constant	constant	ADJ
m-191	46	18	c	c	NOUN
m-191	46	19	>	>	X
m-191	46	20	0	0	NUM
m-191	46	21	such	such	ADJ
m-191	46	22	that	that	PRON
m-191	46	23	for	for	ADP
m-191	46	24	each	each	DET
m-191	46	25	r≤s	r≤s	PROPN
m-191	46	26	applies	applies	PART
m-191	46	27	rαφ	rαφ	NOUN
m-191	46	28	(	(	PUNCT
m-191	46	29	r	r	NOUN
m-191	46	30	)	)	PUNCT
m-191	46	31	p	p	NOUN
m-191	46	32	≤	≤	ADJ
m-191	46	33	csαφ	csαφ	NOUN
m-191	46	34	(	(	PUNCT
m-191	46	35	s	s	NOUN
m-191	46	36	)	)	PUNCT
m-191	46	37	p.	p.	NOUN
m-191	46	38	because	because	SCONJ
m-191	46	39	both	both	PRON
m-191	46	40	of	of	ADP
m-191	46	41	these	these	DET
m-191	46	42	requirements	requirement	NOUN
m-191	46	43	must	must	AUX
m-191	46	44	be	be	AUX
m-191	46	45	fulfilled	fulfil	VERB
m-191	46	46	by	by	ADP
m-191	46	47	the	the	DET
m-191	46	48	function	function	NOUN
m-191	46	49	φ	φ	PROPN
m-191	46	50	this	this	DET
m-191	46	51	function	function	NOUN
m-191	46	52	fulfills	fulfill	VERB
m-191	46	53	the	the	DET
m-191	46	54	doubling	double	VERB
m-191	46	55	condition	condition	NOUN
m-191	46	56	,	,	PUNCT
m-191	46	57	namely	namely	ADV
m-191	46	58	there	there	PRON
m-191	46	59	is	be	VERB
m-191	46	60	a	a	DET
m-191	46	61	constant	constant	ADJ
m-191	46	62	c	c	NOUN
m-191	46	63	>	>	X
m-191	46	64	0	0	NUM
m-191	47	1	such	such	ADJ
m-191	47	2	that	that	SCONJ
m-191	47	3	if	if	SCONJ
m-191	47	4	2	2	NUM
m-191	47	5	then	then	ADV
m-191	47	6	,	,	PUNCT
m-191	47	7	for	for	ADP
m-191	47	8	each	each	DET
m-191	47	9	r	r	NOUN
m-191	47	10	,	,	PUNCT
m-191	47	11	s	s	X
m-191	47	12	>	>	X
m-191	47	13	0	0	X
m-191	47	14	.	.	PUNCT
m-191	48	1	note	note	NOUN
m-191	48	2	proposition	proposition	NOUN
m-191	48	3	1	1	NUM
m-191	48	4	and	and	CCONJ
m-191	48	5	lemma	lemma	PROPN
m-191	48	6	2	2	NUM
m-191	48	7	below	below	ADV
m-191	48	8	.	.	PUNCT
m-191	49	1	proposition	proposition	NOUN
m-191	49	2	1	1	NUM
m-191	49	3	.	.	PUNCT
m-191	49	4	suppose	suppose	VERB
m-191	49	5	that	that	SCONJ
m-191	49	6	ω	ω	PROPN
m-191	49	7	is	be	AUX
m-191	49	8	a	a	DET
m-191	49	9	non	non	ADJ
m-191	49	10	-	-	ADJ
m-191	49	11	negative	negative	ADJ
m-191	49	12	function	function	NOUN
m-191	49	13	and	and	CCONJ
m-191	49	14	f	f	PROPN
m-191	49	15	is	be	AUX
m-191	49	16	neutralized	neutralize	VERB
m-191	49	17	locally	locally	ADV
m-191	49	18	at	at	ADP
m-191	49	19	rd	rd	PROPN
m-191	49	20	,	,	PUNCT
m-191	49	21	for	for	ADP
m-191	49	22	1	1	NUM
m-191	49	23	<	<	X
m-191	49	24	p	p	X
m-191	49	25	<	<	X
m-191	49	26	∞	∞	PROPN
m-191	49	27	,	,	PUNCT
m-191	49	28	then	then	ADV
m-191	49	29	there	there	PRON
m-191	49	30	is	be	VERB
m-191	49	31	c	c	NOUN
m-191	49	32	>	>	X
m-191	49	33	0	0	PUNCT
m-191	50	1	so	so	SCONJ
m-191	50	2	that	that	SCONJ
m-191	50	3	(	(	PUNCT
m-191	50	4	x)|pmµω(x)dµ(x	x)|pmµω(x)dµ(x	NUM
m-191	50	5	)	)	PUNCT
m-191	50	6	.	.	PUNCT
m-191	51	1	(	(	PUNCT
m-191	51	2	3	3	X
m-191	51	3	)	)	PUNCT
m-191	51	4	d	d	NOUN
m-191	51	5	the	the	DET
m-191	51	6	above	above	ADJ
m-191	51	7	inequality	inequality	NOUN
m-191	51	8	is	be	AUX
m-191	51	9	called	call	VERB
m-191	51	10	the	the	DET
m-191	51	11	fefferman	fefferman	ADJ
m-191	51	12	-	-	PUNCT
m-191	51	13	stein	stein	PROPN
m-191	51	14	inequality	inequality	NOUN
m-191	51	15	and	and	CCONJ
m-191	51	16	the	the	DET
m-191	51	17	proof	proof	NOUN
m-191	51	18	can	can	AUX
m-191	51	19	be	be	AUX
m-191	51	20	seen	see	VERB
m-191	51	21	in	in	ADP
m-191	51	22	[	[	X
m-191	51	23	22	22	NUM
m-191	51	24	]	]	X
m-191	51	25	lemma	lemma	PROPN
m-191	51	26	2	2	X
m-191	51	27	.	.	PUNCT
m-191	52	1	if	if	SCONJ
m-191	52	2	the	the	DET
m-191	52	3	function	function	NOUN
m-191	52	4	φ	φ	NOUN
m-191	52	5	:	:	PUNCT
m-191	52	6	(	(	PUNCT
m-191	52	7	0	0	NUM
m-191	52	8	,	,	PUNCT
m-191	52	9	∞	∞	PROPN
m-191	52	10	)	)	PUNCT
m-191	52	11	→	→	SYM
m-191	52	12	(	(	PUNCT
m-191	52	13	0	0	NUM
m-191	52	14	,	,	PUNCT
m-191	52	15	∞	∞	NUM
m-191	52	16	)	)	PUNCT
m-191	52	17	satisfies	satisfy	VERB
m-191	52	18	the	the	DET
m-191	52	19	doubling	double	VERB
m-191	52	20	condition	condition	NOUN
m-191	52	21	then	then	ADV
m-191	52	22	homogeneous	homogeneous	ADJ
m-191	52	23	space	space	NOUN
m-191	52	24	lp	lp	PROPN
m-191	52	25	(	(	PUNCT
m-191	52	26	µ	µ	NOUN
m-191	52	27	)	)	PUNCT
m-191	52	28	to	to	ADP
m-191	52	29	lq	lq	X
m-191	52	30	(	(	PUNCT
m-191	52	31	µ	µ	NOUN
m-191	52	32	)	)	PUNCT
m-191	52	33	.	.	PUNCT
m-191	53	1	furthermore	furthermore	ADV
m-191	53	2	,	,	PUNCT
m-191	53	3	homogeneous	homogeneous	ADJ
m-191	53	4	morrey	morrey	NOUN
m-191	53	5	space	space	NOUN
m-191	53	6	which	which	PRON
m-191	53	7	is	be	AUX
m-191	53	8	generally	generally	ADV
m-191	53	9	lp	lp	ADJ
m-191	53	10	,	,	PUNCT
m-191	53	11	φ	φ	PROPN
m-191	53	12	(	(	PUNCT
m-191	53	13	µ	µ	NOUN
m-191	53	14	)	)	PUNCT
m-191	53	15	to	to	ADP
m-191	53	16	lq	lq	PROPN
m-191	53	17	,	,	PUNCT
m-191	53	18	ψ	ψ	X
m-191	53	19	(	(	PUNCT
m-191	53	20	µ	µ	NOUN
m-191	53	21	)	)	PUNCT
m-191	53	22	.	.	PUNCT
m-191	54	1	for	for	ADP
m-191	54	2	any	any	DET
m-191	54	3	function	function	NOUN
m-191	54	4	f	f	PROPN
m-191	54	5	measured-µ	measured-µ	NOUN
m-191	54	6	with	with	ADP
m-191	54	7	µ	µ	NOUN
m-191	54	8	≤	≤	NOUN
m-191	55	1	p	p	NOUN
m-191	55	2	<	<	X
m-191	55	3	∞	∞	PROPN
m-191	55	4	and	and	CCONJ
m-191	55	5	φ	φ	NUM
m-191	55	6	:	:	PUNCT
m-191	55	7	(	(	PUNCT
m-191	55	8	0	0	NUM
m-191	55	9	,	,	PUNCT
m-191	55	10	∞	∞	PROPN
m-191	55	11	)	)	PUNCT
m-191	55	12	→	→	SYM
m-191	55	13	φ	φ	X
m-191	55	14	(	(	PUNCT
m-191	55	15	µ	µ	NOUN
m-191	55	16	)	)	PUNCT
m-191	55	17	=	=	SYM
m-191	56	1	lp	lp	PROPN
m-191	56	2	,	,	PUNCT
m-191	56	3	φ	φ	PROPN
m-191	56	4	(	(	PUNCT
m-191	56	5	rd	rd	PROPN
m-191	56	6	,	,	PUNCT
m-191	56	7	µ	µ	NOUN
m-191	56	8	)	)	PUNCT
m-191	56	9	is	be	AUX
m-191	56	10	lp	lp	PROPN
m-191	56	11	,	,	PUNCT
m-191	56	12	φ	φ	PROPN
m-191	56	13	(	(	PUNCT
m-191	56	14	µ	µ	NOUN
m-191	56	15	)	)	PUNCT
m-191	56	16	=	=	PRON
m-191	56	17	{	{	PUNCT
m-191	56	18	f	f	PROPN
m-191	56	19	∈	∈	PROPN
m-191	56	20	lploc	lploc	NOUN
m-191	56	21	(	(	PUNCT
m-191	56	22	µ	µ	NOUN
m-191	56	23	):	):	PUNCT
m-191	56	24	rd	rd	NOUN
m-191	56	25	.	.	PUNCT
m-191	57	1	it	it	PRON
m-191	57	2	can	can	AUX
m-191	57	3	be	be	AUX
m-191	57	4	seen	see	VERB
m-191	57	5	that	that	SCONJ
m-191	57	6	if	if	SCONJ
m-191	57	7	n	n	NOUN
m-191	57	8	=	=	SYM
m-191	57	9	d	d	PROPN
m-191	57	10	and	and	CCONJ
m-191	57	11	µ	µ	PROPN
m-191	57	12	are	be	AUX
m-191	57	13	lebesgue	lebesgue	NOUN
m-191	57	14	sizes	size	NOUN
m-191	57	15	then	then	ADV
m-191	57	16	they	they	PRON
m-191	57	17	are	be	AUX
m-191	57	18	obtained.in	obtained.in	NUM
m-191	57	19	[	[	X
m-191	57	20	5	5	NUM
m-191	57	21	]	]	PUNCT
m-191	57	22	,	,	PUNCT
m-191	57	23	it	it	PRON
m-191	57	24	is	be	AUX
m-191	57	25	proven	prove	VERB
m-191	57	26	that	that	SCONJ
m-191	57	27	,	,	PUNCT
m-191	57	28	if	if	SCONJ
m-191	57	29	1	1	NUM
m-191	57	30	and	and	CCONJ
m-191	57	31	,	,	PUNCT
m-191	57	32	for	for	ADP
m-191	57	33	0	0	NUM
m-191	57	34	<	<	X
m-191	57	35	α	α	X
m-191	57	36	<	<	X
m-191	57	37	nthen	nthen	ADJ
m-191	57	38	it	it	PRON
m-191	57	39	is	be	AUX
m-191	57	40	limited	limit	VERB
m-191	57	41	from	from	ADP
m-191	57	42	lebesgue	lebesgue	ADJ
m-191	57	43	nonhomogeneous	nonhomogeneous	ADJ
m-191	57	44	space	space	NOUN
m-191	57	45	lp	lp	NOUN
m-191	57	46	(	(	PUNCT
m-191	57	47	µ	µ	NOUN
m-191	57	48	)	)	PUNCT
m-191	57	49	to	to	ADP
m-191	57	50	lq	lq	X
m-191	57	51	(	(	PUNCT
m-191	57	52	µ	µ	NOUN
m-191	57	53	)	)	PUNCT
m-191	57	54	.	.	PUNCT
m-191	58	1	furthermore	furthermore	ADV
m-191	58	2	,	,	PUNCT
m-191	58	3	in	in	ADP
m-191	58	4	the	the	DET
m-191	58	5	wider	wide	ADJ
m-191	58	6	space	space	NOUN
m-191	58	7	of	of	ADP
m-191	58	8	the	the	DET
m-191	58	9	limited	limited	ADJ
m-191	58	10	lebesgue	lebesgue	NOUN
m-191	58	11	homogeneous	homogeneous	PROPN
m-191	58	12	morrey	morrey	PROPN
m-191	58	13	space	space	NOUN
m-191	58	14	which	which	PRON
m-191	58	15	is	be	AUX
m-191	58	16	generally	generally	ADV
m-191	58	17	lp	lp	ADJ
m-191	58	18	,	,	PUNCT
m-191	58	19	φ	φ	PROPN
m-191	58	20	(	(	PUNCT
m-191	58	21	µ	µ	NOUN
m-191	58	22	)	)	PUNCT
m-191	58	23	to	to	ADP
m-191	58	24	lq	lq	PROPN
m-191	58	25	,	,	PUNCT
m-191	58	26	ψ	ψ	X
m-191	58	27	(	(	PUNCT
m-191	58	28	µ	µ	NOUN
m-191	58	29	)	)	PUNCT
m-191	58	30	.	.	PUNCT
m-191	59	1	for	for	ADP
m-191	59	2	µ	µ	PROPN
m-191	59	3	with	with	ADP
m-191	59	4	µ	µ	PROPN
m-191	59	5	borel	borel	NOUN
m-191	59	6	size	size	NOUN
m-191	59	7	on	on	ADP
m-191	59	8	rd	rd	PROPN
m-191	59	9	that	that	PRON
m-191	59	10	satisfies	satisfy	VERB
m-191	59	11	the	the	DET
m-191	59	12	condition	condition	NOUN
m-191	59	13	of	of	ADP
m-191	59	14	growth	growth	NOUN
m-191	59	15	(	(	PUNCT
m-191	59	16	2	2	NUM
m-191	59	17	)	)	PUNCT
m-191	59	18	,	,	PUNCT
m-191	59	19	for	for	ADP
m-191	59	20	1	1	NUM
m-191	59	21	(	(	PUNCT
m-191	59	22	µ	µ	NOUN
m-191	59	23	)	)	PUNCT
m-191	59	24	=	=	SYM
m-191	59	25	lp	lp	PROPN
m-191	59	26	,	,	PUNCT
m-191	59	27	φ	φ	PROPN
m-191	59	28	(	(	PUNCT
m-191	59	29	rd	rd	PROPN
m-191	59	30	,	,	PUNCT
m-191	59	31	µ	µ	NOUN
m-191	59	32	)	)	PUNCT
m-191	59	33	is	be	AUX
m-191	59	34	lp	lp	PROPN
m-191	59	35	,	,	PUNCT
m-191	59	36	φ	φ	PROPN
m-191	59	37	(	(	PUNCT
m-191	59	38	µ	µ	NOUN
m-191	59	39	)	)	PUNCT
m-191	59	40	=	=	PUNCT
m-191	59	41	with	with	ADP
m-191	59	42	the	the	DET
m-191	59	43	function	function	NOUN
m-191	59	44	φ	φ	PROPN
m-191	59	45	is	be	AUX
m-191	59	46	a	a	DET
m-191	59	47	positive	positive	ADJ
m-191	59	48	function	function	NOUN
m-191	59	49	where	where	SCONJ
m-191	59	50	φ	φ	NOUN
m-191	59	51	:	:	PUNCT
m-191	59	52	(	(	PUNCT
m-191	59	53	0	0	NUM
m-191	59	54	,	,	PUNCT
m-191	59	55	∞	∞	PROPN
m-191	59	56	)	)	PUNCT
m-191	59	57	→	→	SYM
m-191	59	58	(	(	PUNCT
m-191	59	59	0	0	NUM
m-191	59	60	,	,	PUNCT
m-191	59	61	∞	∞	PROPN
m-191	59	62	)	)	PUNCT
m-191	59	63	which	which	PRON
m-191	59	64	must	must	AUX
m-191	59	65	fulfill	fulfill	VERB
m-191	59	66	the	the	DET
m-191	59	67	tant	tant	NOUN
m-191	59	68	c	c	X
m-191	59	69	>	>	X
m-191	59	70	0	0	NUM
m-191	59	71	such	such	ADJ
m-191	59	72	that	that	PRON
m-191	59	73	for	for	ADP
m-191	59	74	each	each	DET
m-191	59	75	r	r	NOUN
m-191	59	76	r	r	NOUN
m-191	59	77	s	s	NOUN
m-191	59	78	2	2	NUM
m-191	59	79	.	.	PUNCT
m-191	60	1	the	the	DET
m-191	60	2	function	function	NOUN
m-191	60	3	rαφ	rαφ	NOUN
m-191	60	4	(	(	PUNCT
m-191	60	5	r	r	NOUN
m-191	60	6	)	)	PUNCT
m-191	60	7	p	p	NOUN
m-191	60	8	almost	almost	ADV
m-191	60	9	rises	rise	VERB
m-191	60	10	,	,	PUNCT
m-191	60	11	that	that	ADV
m-191	60	12	is	is	ADV
m-191	60	13	,	,	PUNCT
m-191	60	14	there	there	PRON
m-191	60	15	is	be	VERB
m-191	60	16	a	a	DET
m-191	60	17	constant	constant	ADJ
m-191	60	18	c	c	NOUN
m-191	60	19	>	>	X
m-191	60	20	0	0	NUM
m-191	60	21	such	such	ADJ
m-191	60	22	that	that	PRON
m-191	60	23	for	for	ADP
m-191	60	24	each	each	DET
m-191	60	25	r≤s	r≤s	PROPN
m-191	60	26	φ	φ	NOUN
m-191	60	27	this	this	DET
m-191	60	28	function	function	NOUN
m-191	60	29	fulfills	fulfill	VERB
m-191	60	30	the	the	DET
m-191	60	31	2	2	NUM
m-191	60	32	then	then	ADV
m-191	60	33	,	,	PUNCT
m-191	60	34	for	for	SCONJ
m-191	60	35	each	each	DET
m-191	60	36	r	r	NOUN
m-191	60	37	,	,	PUNCT
m-191	60	38	s	s	X
m-191	60	39	>	>	X
m-191	60	40	0	0	X
m-191	60	41	.	.	PUNCT
m-191	60	42	note	note	VERB
m-191	60	43	negative	negative	ADJ
m-191	60	44	function	function	NOUN
m-191	60	45	and	and	CCONJ
m-191	60	46	stein	stein	PROPN
m-191	60	47	inequality	inequality	PROPN
m-191	60	48	and	and	CCONJ
m-191	60	49	the	the	DET
m-191	60	50	proof	proof	NOUN
m-191	60	51	can	can	AUX
m-191	60	52	be	be	AUX
m-191	60	53	seen	see	VERB
m-191	60	54	in	in	ADP
m-191	60	55	[	[	X
m-191	60	56	22	22	NUM
m-191	60	57	]	]	PUNCT
m-191	60	58	doubling	double	VERB
m-191	60	59	condition	condition	NOUN
m-191	60	60	then	then	ADV
m-191	60	61	ijointernational	ijointernational	ADJ
m-191	60	62	journal	journal	NOUN
m-191	60	63	of	of	ADP
m-191	60	64	mathematics	mathematics	PROPN
m-191	60	65	(	(	PUNCT
m-191	60	66	issn	issn	PROPN
m-191	60	67	:	:	PUNCT
m-191	60	68	2805	2805	NUM
m-191	60	69	-	-	PUNCT
m-191	60	70	413x	413x	PROPN
m-191	60	71	)	)	PUNCT
m-191	60	72	volume	volume	NOUN
m-191	60	73	02	02	NUM
m-191	60	74	|issue	|issue	NOUN
m-191	60	75	07	07	NUM
m-191	61	1	|	|	CCONJ
m-191	61	2	july	july	PROPN
m-191	61	3	2019	2019	NUM
m-191	61	4	www.ijojournals.com	www.ijojournals.com	X
m-191	61	5	2	2	NUM
m-191	61	6	for	for	ADP
m-191	61	7	every	every	DET
m-191	61	8	r	r	NOUN
m-191	61	9	>	>	X
m-191	61	10	0	0	NUM
m-191	62	1	and	and	CCONJ
m-191	62	2	k	k	X
m-191	62	3	positive	positive	ADJ
m-191	62	4	integers	integer	NOUN
m-191	62	5	.	.	PUNCT
m-191	63	1	based	base	VERB
m-191	63	2	on	on	ADP
m-191	63	3	proposition	proposition	NOUN
m-191	63	4	1	1	NUM
m-191	63	5	and	and	CCONJ
m-191	63	6	lemma	lemma	PROPN
m-191	63	7	2	2	NUM
m-191	63	8	it	it	PRON
m-191	63	9	can	can	AUX
m-191	63	10	be	be	AUX
m-191	63	11	shown	show	VERB
m-191	63	12	that	that	SCONJ
m-191	63	13	the	the	DET
m-191	63	14	maximum	maximum	ADJ
m-191	63	15	operator	operator	NOUN
m-191	63	16	mµ	mµ	NOUN
m-191	63	17	is	be	AUX
m-191	63	18	as	as	ADP
m-191	63	19	for	for	ADP
m-191	63	20	x	x	SYM
m-191	63	21	∈rd	∈rd	PROPN
m-191	63	22	and	and	CCONJ
m-191	63	23	f	f	PROPN
m-191	63	24	∈	∈	PROPN
m-191	63	25	l1loc	l1loc	PROPN
m-191	63	26	(	(	PUNCT
m-191	63	27	rd	rd	NOUN
m-191	63	28	)	)	PUNCT
m-191	63	29	,	,	PUNCT
m-191	63	30	limited	limit	VERB
m-191	63	31	to	to	ADP
m-191	63	32	lp	lp	PROPN
m-191	63	33	,	,	PUNCT
m-191	63	34	φ	φ	PROPN
m-191	63	35	(	(	PUNCT
m-191	63	36	µ	µ	NOUN
m-191	63	37	)	)	PUNCT
m-191	63	38	for	for	ADP
m-191	63	39	1	1	NUM
m-191	63	40	<	<	X
m-191	63	41	p	p	X
m-191	63	42	<	<	X
m-191	63	43	∞	∞	PROPN
m-191	63	44	(	(	PUNCT
m-191	63	45	see	see	VERB
m-191	63	46	[	[	X
m-191	63	47	16	16	NUM
m-191	63	48	]	]	PUNCT
m-191	63	49	,	,	PUNCT
m-191	63	50	page	page	NOUN
m-191	63	51	8)	8)	NUM
m-191	63	52	stated	state	VERB
m-191	63	53	in	in	ADP
m-191	63	54	the	the	DET
m-191	63	55	following	follow	VERB
m-191	63	56	theorem	theorem	PROPN
m-191	63	57	.	.	PUNCT
m-191	63	58	theorem	theorem	NOUN
m-191	63	59	3	3	X
m-191	63	60	.	.	PUNCT
m-191	63	61	suppose	suppose	VERB
m-191	63	62	f	f	PROPN
m-191	63	63	is	be	AUX
m-191	63	64	integrally	integrally	ADV
m-191	63	65	localized	localize	VERB
m-191	63	66	at	at	ADP
m-191	63	67	rd	rd	PROPN
m-191	63	68	,	,	PUNCT
m-191	63	69	φ	φ	PROPN
m-191	63	70	:	:	PUNCT
m-191	63	71	(	(	PUNCT
m-191	63	72	0	0	NUM
m-191	63	73	,	,	PUNCT
m-191	63	74	∞	∞	PROPN
m-191	63	75	)	)	PUNCT
m-191	63	76	→	→	SYM
m-191	63	77	(	(	PUNCT
m-191	63	78	0	0	NUM
m-191	63	79	,	,	PUNCT
m-191	63	80	∞	∞	NUM
m-191	63	81	)	)	PUNCT
m-191	63	82	satisfies	satisfie	NOUN
m-191	63	83	doubling	double	VERB
m-191	63	84	conditions	condition	NOUN
m-191	63	85	and	and	CCONJ
m-191	63	86	for	for	ADP
m-191	63	87	a	a	DET
m-191	63	88	c1	c1	NOUN
m-191	63	89	>	>	X
m-191	63	90	0	0	PUNCT
m-191	64	1	for	for	ADP
m-191	64	2	every	every	DET
m-191	64	3	r	r	NOUN
m-191	64	4	>	>	X
m-191	64	5	0	0	NUM
m-191	64	6	and	and	CCONJ
m-191	64	7	1	1	NUM
m-191	64	8	≤	≤	NOUN
m-191	64	9	p	p	X
m-191	64	10	<	<	X
m-191	64	11	∞	∞	PROPN
m-191	64	12	,	,	PUNCT
m-191	64	13	then	then	ADV
m-191	64	14	for	for	ADP
m-191	64	15	a	a	DET
m-191	64	16	c	c	NOUN
m-191	64	17	>	>	X
m-191	64	18	0	0	NUM
m-191	64	19	.	.	PUNCT
m-191	64	20	evidence	evidence	NOUN
m-191	64	21	.	.	PUNCT
m-191	65	1	take	take	VERB
m-191	65	2	any	any	DET
m-191	65	3	f	f	PROPN
m-191	65	4	∈	∈	PROPN
m-191	65	5	lp	lp	PROPN
m-191	65	6	,	,	PUNCT
m-191	65	7	φ	φ	PROPN
m-191	65	8	(	(	PUNCT
m-191	65	9	µ	µ	NOUN
m-191	65	10	)	)	PUNCT
m-191	65	11	and	and	CCONJ
m-191	65	12	b	b	X
m-191	65	13	(	(	PUNCT
m-191	65	14	a	a	PRON
m-191	65	15	,	,	PUNCT
m-191	65	16	r	r	NOUN
m-191	65	17	)	)	PUNCT
m-191	65	18	are	be	AUX
m-191	65	19	open	open	ADJ
m-191	65	20	balls	ball	NOUN
m-191	65	21	centered	center	VERB
m-191	65	22	on	on	ADP
m-191	65	23	a	a	DET
m-191	65	24	ω	ω	NOUN
m-191	65	25	=	=	SYM
m-191	65	26	χb	χb	PROPN
m-191	65	27	(	(	PUNCT
m-191	65	28	a	a	PRON
m-191	65	29	,	,	PUNCT
m-191	65	30	r	r	NOUN
m-191	65	31	)	)	PUNCT
m-191	65	32	is	be	AUX
m-191	65	33	a	a	DET
m-191	65	34	non	non	ADJ
m-191	65	35	-	-	ADJ
m-191	65	36	negative	negative	ADJ
m-191	65	37	function	function	NOUN
m-191	65	38	.	.	PUNCT
m-191	66	1	then	then	ADV
m-191	66	2	according	accord	VERB
m-191	66	3	to	to	ADP
m-191	66	4	equality	equality	NOUN
m-191	66	5	(	(	PUNCT
m-191	66	6	3	3	NUM
m-191	66	7	)	)	PUNCT
m-191	66	8	is	be	AUX
m-191	66	9	obtained	obtain	VERB
m-191	66	10	,	,	PUNCT
m-191	66	11	|mµf(x)|pdµ(x	|mµf(x)|pdµ(x	NOUN
m-191	66	12	)	)	PUNCT
m-191	66	13	b(a	b(a	NOUN
m-191	66	14	,	,	PUNCT
m-191	66	15	r	r	NOUN
m-191	66	16	)	)	PUNCT
m-191	66	17	z	z	NOUN
m-191	66	18	≤	≤	NOUN
m-191	67	1	|mµf(x)|pχb(a	|mµf(x)|pχb(a	PROPN
m-191	67	2	,	,	PUNCT
m-191	67	3	r)dµ	r)dµ	PROPN
m-191	67	4	rd	rd	PROPN
m-191	67	5	z	z	NOUN
m-191	67	6	≤	≤	PROPN
m-191	67	7	c	c	X
m-191	67	8	|f(x)|pmµχb(a	|f(x)|pmµχb(a	ADJ
m-191	67	9	,	,	PUNCT
m-191	67	10	r)dµ	r)dµ	PROPN
m-191	67	11	rd	rd	PROPN
m-191	67	12	"	"	PUNCT
m-191	67	13	∞	∞	PROPN
m-191	67	14	#	#	NOUN
m-191	67	15	z	z	NOUN
m-191	67	16	z	z	NOUN
m-191	67	17	≤	≤	NOUN
m-191	67	18	c	c	NOUN
m-191	67	19	|f(x)|pdµ(x	|f(x)|pdµ(x	NOUN
m-191	67	20	)	)	PUNCT
m-191	68	1	+	+	CCONJ
m-191	68	2	x	x	SYM
m-191	68	3	|f	|f	PROPN
m-191	68	4	(	(	PUNCT
m-191	68	5	b(a	b(a	NOUN
m-191	68	6	,	,	PUNCT
m-191	68	7	r	r	NOUN
m-191	68	8	)	)	PUNCT
m-191	68	9	k=1	k=1	NOUN
m-191	68	10	b(a,2k+1	b(a,2k+1	VERB
m-191	68	11	for	for	ADP
m-191	68	12	every	every	DET
m-191	68	13	r	r	NOUN
m-191	68	14	>	>	X
m-191	68	15	0	0	NUM
m-191	69	1	and	and	CCONJ
m-191	69	2	k	k	X
m-191	69	3	positive	positive	ADJ
m-191	69	4	integers	integer	NOUN
m-191	69	5	.	.	PUNCT
m-191	70	1	based	base	VERB
m-191	70	2	on	on	ADP
m-191	70	3	proposition	proposition	NOUN
m-191	70	4	1	1	NUM
m-191	70	5	and	and	CCONJ
m-191	70	6	lemma	lemma	PROPN
m-191	70	7	2	2	NUM
m-191	70	8	it	it	PRON
m-191	70	9	can	can	AUX
m-191	70	10	be	be	AUX
m-191	70	11	shown	show	VERB
m-191	70	12	that	that	SCONJ
m-191	70	13	the	the	DET
m-191	70	14	maximum	maximum	ADJ
m-191	70	15	operator	operator	NOUN
m-191	70	16	mµ	mµ	NOUN
m-191	70	17	is	be	AUX
m-191	70	18	l1loc	l1loc	ADJ
m-191	70	19	(	(	PUNCT
m-191	70	20	rd	rd	NOUN
m-191	70	21	)	)	PUNCT
m-191	70	22	,	,	PUNCT
m-191	70	23	limited	limit	VERB
m-191	70	24	to	to	ADP
m-191	70	25	lp	lp	PROPN
m-191	70	26	,	,	PUNCT
m-191	70	27	φ	φ	PROPN
m-191	70	28	(	(	PUNCT
m-191	70	29	µ	µ	NOUN
m-191	70	30	)	)	PUNCT
m-191	70	31	for	for	ADP
m-191	70	32	1	1	NUM
m-191	70	33	<	<	X
m-191	70	34	p	p	X
m-191	70	35	<	<	X
m-191	70	36	∞	∞	PROPN
m-191	70	37	(	(	PUNCT
m-191	70	38	see	see	VERB
m-191	70	39	[	[	X
m-191	70	40	16	16	NUM
m-191	70	41	]	]	PUNCT
m-191	70	42	,	,	PUNCT
m-191	70	43	page	page	NOUN
m-191	70	44	8)	8)	NUM
m-191	70	45	stated	state	VERB
m-191	70	46	in	in	ADP
m-191	70	47	the	the	DET
m-191	70	48	theorem	theorem	NOUN
m-191	70	49	3	3	X
m-191	70	50	.	.	PUNCT
m-191	70	51	suppose	suppose	VERB
m-191	70	52	f	f	PROPN
m-191	70	53	is	be	AUX
m-191	70	54	integrally	integrally	ADV
m-191	70	55	localized	localize	VERB
m-191	70	56	at	at	ADP
m-191	70	57	rd	rd	PROPN
m-191	70	58	,	,	PUNCT
m-191	70	59	φ	φ	PROPN
m-191	70	60	:	:	PUNCT
m-191	70	61	(	(	PUNCT
m-191	70	62	0	0	NUM
m-191	70	63	,	,	PUNCT
m-191	70	64	∞	∞	PROPN
m-191	70	65	)	)	PUNCT
m-191	70	66	→	→	SYM
m-191	70	67	(	(	PUNCT
m-191	70	68	0	0	NUM
m-191	70	69	,	,	PUNCT
m-191	70	70	∞	∞	NUM
m-191	70	71	)	)	PUNCT
m-191	70	72	satisfies	satisfie	NOUN
m-191	70	73	doubling	double	VERB
m-191	70	74	conditions	condition	NOUN
m-191	70	75	and	and	CCONJ
m-191	70	76	for	for	ADP
m-191	70	77	a	a	DET
m-191	70	78	c1	c1	NOUN
m-191	70	79	>	>	X
m-191	70	80	0	0	NUM
m-191	70	81	≤	≤	PROPN
m-191	71	1	p	p	X
m-191	71	2	<	<	X
m-191	71	3	∞	∞	PROPN
m-191	71	4	,	,	PUNCT
m-191	71	5	then||mµf||	then||mµf||	NOUN
m-191	72	1	lp	lp	ADJ
m-191	72	2	,	,	PUNCT
m-191	72	3	φ(µ	φ(µ	ADJ
m-191	72	4	)	)	PUNCT
m-191	72	5	≤	≤	NUM
m-191	72	6	c	c	NOUN
m-191	72	7	||f||	||f||	ADJ
m-191	72	8	lp	lp	NOUN
m-191	72	9	,	,	PUNCT
m-191	72	10	φ(µ	φ(µ	ADJ
m-191	72	11	)	)	PUNCT
m-191	72	12	(	(	PUNCT
m-191	72	13	4	4	X
m-191	72	14	)	)	PUNCT
m-191	72	15	lp	lp	NOUN
m-191	72	16	,	,	PUNCT
m-191	72	17	φ	φ	PROPN
m-191	72	18	(	(	PUNCT
m-191	72	19	µ	µ	NOUN
m-191	72	20	)	)	PUNCT
m-191	72	21	and	and	CCONJ
m-191	72	22	b	b	X
m-191	72	23	(	(	PUNCT
m-191	72	24	a	a	PRON
m-191	72	25	,	,	PUNCT
m-191	72	26	r	r	NOUN
m-191	72	27	)	)	PUNCT
m-191	72	28	are	be	AUX
m-191	72	29	open	open	ADJ
m-191	72	30	balls	ball	NOUN
m-191	72	31	centered	center	VERB
m-191	72	32	on	on	ADP
m-191	72	33	a	a	DET
m-191	72	34	∈rd	∈rd	NOUN
m-191	72	35	and	and	CCONJ
m-191	73	1	radius	radius	NOUN
m-191	73	2	r	r	NOUN
m-191	73	3	>	>	X
m-191	73	4	0	0	PUNCT
m-191	74	1	so	so	CCONJ
m-191	74	2	negative	negative	ADJ
m-191	74	3	function	function	NOUN
m-191	74	4	.	.	PUNCT
m-191	75	1	then	then	ADV
m-191	75	2	according	accord	VERB
m-191	75	3	to	to	ADP
m-191	75	4	equality	equality	NOUN
m-191	75	5	(	(	PUNCT
m-191	75	6	3	3	NUM
m-191	75	7	)	)	PUNCT
m-191	75	8	is	be	AUX
m-191	75	9	obtained	obtain	VERB
m-191	75	10	,	,	PUNCT
m-191	75	11	dµ(x	dµ(x	PUNCT
m-191	75	12	)	)	PUNCT
m-191	75	13	dµ(x	dµ(x	PUNCT
m-191	75	14	)	)	PUNCT
m-191	75	15	(	(	PUNCT
m-191	75	16	x)|pmµχb(a	x)|pmµχb(a	ADJ
m-191	75	17	,	,	PUNCT
m-191	75	18	r)dµ(x	r)dµ(x	NOUN
m-191	75	19	)	)	PUNCT
m-191	75	20	.	.	PUNCT
m-191	76	1	+1r)−b(a,2kr)(5	+1r)−b(a,2kr)(5	ADV
m-191	76	2	)	)	PUNCT
m-191	76	3	for	for	ADP
m-191	76	4	every	every	DET
m-191	76	5	r	r	NOUN
m-191	76	6	>	>	X
m-191	76	7	0	0	NUM
m-191	77	1	and	and	CCONJ
m-191	77	2	k	k	X
m-191	77	3	positive	positive	ADJ
m-191	77	4	integers	integer	NOUN
m-191	77	5	.	.	PUNCT
m-191	78	1	based	base	VERB
m-191	78	2	on	on	ADP
m-191	78	3	proposition	proposition	NOUN
m-191	78	4	1	1	NUM
m-191	78	5	and	and	CCONJ
m-191	78	6	lemma	lemma	PROPN
m-191	78	7	2	2	NUM
m-191	78	8	it	it	PRON
m-191	78	9	can	can	AUX
m-191	78	10	be	be	AUX
m-191	78	11	shown	show	VERB
m-191	78	12	that	that	SCONJ
m-191	78	13	the	the	DET
m-191	78	14	maximum	maximum	ADJ
m-191	78	15	operator	operator	NOUN
m-191	78	16	mµ	mµ	NOUN
m-191	78	17	is	be	AUX
m-191	78	18	defined	define	VERB
m-191	78	19	l1loc	l1loc	ADJ
m-191	78	20	(	(	PUNCT
m-191	78	21	rd	rd	NOUN
m-191	78	22	)	)	PUNCT
m-191	78	23	,	,	PUNCT
m-191	78	24	limited	limit	VERB
m-191	78	25	to	to	ADP
m-191	78	26	lp	lp	PROPN
m-191	78	27	,	,	PUNCT
m-191	78	28	φ	φ	PROPN
m-191	78	29	(	(	PUNCT
m-191	78	30	µ	µ	NOUN
m-191	78	31	)	)	PUNCT
m-191	78	32	for	for	ADP
m-191	78	33	1	1	NUM
m-191	78	34	<	<	X
m-191	78	35	p	p	X
m-191	78	36	<	<	X
m-191	78	37	∞	∞	PROPN
m-191	78	38	(	(	PUNCT
m-191	78	39	see	see	VERB
m-191	78	40	[	[	X
m-191	78	41	16	16	NUM
m-191	78	42	]	]	PUNCT
m-191	78	43	,	,	PUNCT
m-191	78	44	page	page	NOUN
m-191	78	45	8)	8)	NUM
m-191	78	46	stated	state	VERB
m-191	78	47	in	in	ADP
m-191	78	48	the	the	DET
m-191	78	49	theorem	theorem	NOUN
m-191	78	50	3	3	X
m-191	78	51	.	.	PUNCT
m-191	78	52	suppose	suppose	VERB
m-191	78	53	f	f	PROPN
m-191	78	54	is	be	AUX
m-191	78	55	integrally	integrally	ADV
m-191	78	56	localized	localize	VERB
m-191	78	57	at	at	ADP
m-191	78	58	rd	rd	PROPN
m-191	78	59	,	,	PUNCT
m-191	78	60	φ	φ	PROPN
m-191	78	61	:	:	PUNCT
m-191	78	62	(	(	PUNCT
m-191	78	63	0	0	NUM
m-191	78	64	,	,	PUNCT
m-191	78	65	∞	∞	PROPN
m-191	78	66	)	)	PUNCT
m-191	78	67	→	→	SYM
m-191	78	68	(	(	PUNCT
m-191	78	69	0	0	NUM
m-191	78	70	,	,	PUNCT
m-191	78	71	∞	∞	NUM
m-191	78	72	)	)	PUNCT
m-191	78	73	satisfies	satisfie	NOUN
m-191	78	74	doubling	double	VERB
m-191	78	75	rd	rd	PROPN
m-191	78	76	and	and	CCONJ
m-191	78	77	radius	radius	PROPN
m-191	79	1	r	r	NOUN
m-191	79	2	>	>	X
m-191	79	3	0	0	PUNCT
m-191	80	1	so	so	CCONJ
m-191	80	2	negative	negative	ADJ
m-191	80	3	function	function	NOUN
m-191	80	4	.	.	PUNCT
m-191	81	1	then	then	ADV
m-191	81	2	according	accord	VERB
m-191	81	3	to	to	ADP
m-191	81	4	equality	equality	NOUN
m-191	81	5	(	(	PUNCT
m-191	81	6	3	3	NUM
m-191	81	7	)	)	PUNCT
m-191	81	8	is	be	AUX
m-191	81	9	obtained	obtain	VERB
m-191	81	10	,	,	PUNCT
m-191	81	11	z	z	PROPN
m-191	81	12	ijointernational	ijointernational	ADJ
m-191	81	13	journal	journal	NOUN
m-191	81	14	of	of	ADP
m-191	81	15	mathematics	mathematics	PROPN
m-191	81	16	(	(	PUNCT
m-191	81	17	issn	issn	PROPN
m-191	81	18	:	:	PUNCT
m-191	81	19	2805	2805	NUM
m-191	81	20	-	-	PUNCT
m-191	81	21	413x	413x	PROPN
m-191	81	22	)	)	PUNCT
m-191	81	23	volume	volume	NOUN
m-191	81	24	02	02	NUM
m-191	81	25	|issue	|issue	NOUN
m-191	81	26	07	07	NUM
m-191	82	1	|	|	CCONJ
m-191	82	2	july	july	PROPN
m-191	82	3	2019	2019	NUM
m-191	82	4	www.ijojournals.com	www.ijojournals.com	X
m-191	82	5	3	3	NUM
m-191	82	6	next	next	ADV
m-191	82	7	,	,	PUNCT
m-191	82	8	for	for	ADP
m-191	82	9	based	base	VERB
m-191	82	10	on	on	ADP
m-191	82	11	(	(	PUNCT
m-191	82	12	5	5	NUM
m-191	82	13	)	)	PUNCT
m-191	82	14	obtained	obtain	VERB
m-191	82	15	,	,	PUNCT
m-191	82	16	z	z	NOUN
m-191	82	17	|mµf(x)|pdµ(x)b(a	|mµf(x)|pdµ(x)b(a	NOUN
m-191	82	18	,	,	PUNCT
m-191	82	19	r	r	NOUN
m-191	82	20	so	so	ADV
m-191	82	21	,	,	PUNCT
m-191	82	22	got	get	VERB
m-191	82	23	it	it	PRON
m-191	82	24	||f||	||f||	ADJ
m-191	82	25	lp	lp	NOUN
m-191	82	26	,	,	PUNCT
m-191	82	27	φ(µ)maximum	φ(µ)maximum	PRON
m-191	82	28	operator	operator	NOUN
m-191	82	29	limitation	limitation	NOUN
m-191	82	30	mµ	mµ	NOUN
m-191	82	31	above	above	ADV
m-191	82	32	is	be	AUX
m-191	82	33	needed	need	VERB
m-191	82	34	in	in	ADP
m-191	82	35	proving	prove	VERB
m-191	82	36	the	the	DET
m-191	82	37	fractional	fractional	ADJ
m-191	82	38	integral	integral	ADJ
m-191	82	39	operators	operator	NOUN
m-191	82	40	and	and	CCONJ
m-191	82	41	fractional	fractional	ADJ
m-191	82	42	integral	integral	ADJ
m-191	82	43	operators	operator	NOUN
m-191	82	44	commonly	commonly	ADV
m-191	82	45	from	from	ADP
m-191	82	46	the	the	DET
m-191	82	47	morrey	morrey	PROPN
m-191	82	48	space	space	NOUN
m-191	82	49	are	be	AUX
m-191	82	50	generally	generally	ADV
m-191	82	51	lp	lp	ADJ
m-191	82	52	,	,	PUNCT
m-191	82	53	φ	φ	PROPN
m-191	82	54	to	to	ADP
m-191	82	55	the	the	DET
m-191	82	56	morrey	morrey	PROPN
m-191	82	57	space	space	NOUN
m-191	82	58	is	be	AUX
m-191	82	59	generally	generally	ADV
m-191	82	60	for	for	ADP
m-191	82	61	1	1	NUM
m-191	82	62	<	<	NOUN
m-191	82	63	p	p	X
m-191	82	64	<	<	X
m-191	82	65	q	q	X
m-191	82	66	<	<	X
m-191	82	67	∞	∞	NOUN
m-191	82	68	with	with	ADP
m-191	82	69	5	5	NUM
m-191	82	70	]	]	PUNCT
m-191	82	71	.	.	PUNCT
m-191	83	1	,	,	PUNCT
m-191	83	2	we	we	PRON
m-191	83	3	are	be	AUX
m-191	83	4	estimatedmµχb(a	estimatedmµχb(a	ADJ
m-191	83	5	,	,	PUNCT
m-191	83	6	r)(x	r)(x	PROPN
m-191	83	7	)	)	PUNCT
m-191	83	8	as	as	SCONJ
m-191	83	9	follows	follow	VERB
m-191	83	10	a	a	DET
m-191	83	11	,	,	PUNCT
m-191	83	12	r	r	NOUN
m-191	83	13	)	)	PUNCT
m-191	83	14	there	there	ADV
m-191	83	15	formµf||	formµf||	NUM
m-191	83	16	l	l	NOUN
m-191	83	17	maximum	maximum	ADJ
m-191	83	18	operator	operator	NOUN
m-191	83	19	limitation	limitation	NOUN
m-191	83	20	mµ	mµ	VERB
m-191	83	21	above	above	ADV
m-191	83	22	is	be	AUX
m-191	83	23	needed	need	VERB
m-191	83	24	in	in	ADP
m-191	83	25	proving	prove	VERB
m-191	83	26	the	the	DET
m-191	83	27	boundedness	boundedness	NOUN
m-191	83	28	fractional	fractional	ADJ
m-191	83	29	integral	integral	ADJ
m-191	83	30	operators	operator	NOUN
m-191	83	31	and	and	CCONJ
m-191	83	32	fractional	fractional	ADJ
m-191	83	33	integral	integral	ADJ
m-191	83	34	operators	operator	NOUN
m-191	83	35	commonly	commonly	ADV
m-191	83	36	from	from	ADP
m-191	83	37	the	the	DET
m-191	83	38	morrey	morrey	PROPN
m-191	83	39	space	space	NOUN
m-191	83	40	are	be	AUX
m-191	83	41	generally	generally	ADV
m-191	83	42	lp	lp	ADJ
m-191	83	43	,	,	PUNCT
m-191	83	44	φ	φ	PROPN
m-191	83	45	to	to	ADP
m-191	83	46	the	the	DET
m-191	83	47	morrey	morrey	PROPN
m-191	83	48	space	space	NOUN
m-191	83	49	is	be	AUX
m-191	83	50	generally	generally	ADV
m-191	83	51	for	for	ADP
m-191	83	52	1	1	NUM
m-191	83	53	<	<	NOUN
m-191	83	54	p	p	X
m-191	83	55	<	<	X
m-191	83	56	q	q	X
m-191	83	57	<	<	X
m-191	83	58	∞	∞	NUM
m-191	83	59	with	with	ADP
m-191	83	60	as	as	SCONJ
m-191	83	61	follows	follow	VERB
m-191	83	62	.	.	PUNCT
m-191	84	1	lp	lp	ADJ
m-191	84	2	,	,	PUNCT
m-191	84	3	φ(µ	φ(µ	NOUN
m-191	84	4	)	)	PUNCT
m-191	84	5	≤	≤	PUNCT
m-191	84	6	c	c	NOUN
m-191	84	7	boundedness	boundedness	NOUN
m-191	84	8	of	of	ADP
m-191	84	9	fractional	fractional	ADJ
m-191	84	10	integral	integral	ADJ
m-191	84	11	operators	operator	NOUN
m-191	84	12	and	and	CCONJ
m-191	84	13	fractional	fractional	ADJ
m-191	84	14	integral	integral	ADJ
m-191	84	15	operators	operator	NOUN
m-191	84	16	commonly	commonly	ADV
m-191	84	17	from	from	ADP
m-191	84	18	the	the	DET
m-191	84	19	morrey	morrey	PROPN
m-191	84	20	space	space	NOUN
m-191	84	21	are	be	AUX
m-191	84	22	generally	generally	ADV
m-191	84	23	lp	lp	ADJ
m-191	84	24	,	,	PUNCT
m-191	84	25	φ	φ	PROPN
m-191	84	26	to	to	ADP
m-191	84	27	the	the	DET
m-191	84	28	morrey	morrey	PROPN
m-191	84	29	space	space	NOUN
m-191	84	30	is	be	AUX
m-191	84	31	generally	generally	ADV
m-191	84	32	for	for	ADP
m-191	84	33	1	1	NUM
m-191	84	34	<	<	NOUN
m-191	84	35	p	p	X
m-191	84	36	<	<	X
m-191	84	37	q	q	X
m-191	84	38	<	<	X
m-191	84	39	∞	∞	NUM
m-191	84	40	withp	withp	PROPN
m-191	84	41	ψ	ψ	X
m-191	84	42	=	=	PUNCT
m-191	84	43	φq	φq	PROPN
m-191	84	44	[	[	X
m-191	84	45	3	3	NUM
m-191	84	46	,	,	PUNCT
m-191	84	47	ijointernational	ijointernational	ADJ
m-191	84	48	journal	journal	NOUN
m-191	84	49	of	of	ADP
m-191	84	50	mathematics	mathematics	PROPN
m-191	84	51	(	(	PUNCT
m-191	84	52	issn	issn	PROPN
m-191	84	53	:	:	PUNCT
m-191	84	54	2805	2805	NUM
m-191	84	55	-	-	PUNCT
m-191	84	56	413x	413x	PROPN
m-191	84	57	)	)	PUNCT
m-191	84	58	volume	volume	NOUN
m-191	84	59	02	02	NUM
m-191	84	60	|issue	|issue	NOUN
m-191	84	61	07	07	NUM
m-191	85	1	|	|	CCONJ
m-191	85	2	july	july	PROPN
m-191	85	3	2019	2019	NUM
m-191	86	1	www.ijojournals.com	www.ijojournals.com	SYM
m-191	86	2	4	4	NUM
m-191	86	3	fractional	fractional	ADJ
m-191	86	4	integral	integral	ADJ
m-191	86	5	operators	operator	NOUN
m-191	86	6	here	here	ADV
m-191	86	7	are	be	AUX
m-191	86	8	generally	generally	ADV
m-191	86	9	fraction	fraction	NOUN
m-191	86	10	function	function	NOUN
m-191	86	11	ρ	ρ	PROPN
m-191	86	12	,	,	PUNCT
m-191	86	13	which	which	PRON
m-191	86	14	is	be	AUX
m-191	86	15	a	a	DET
m-191	86	16	non	non	NOUN
m-191	86	17	and	and	CCONJ
m-191	86	18	satisfies	satisfy	VERB
m-191	86	19	doubling	double	VERB
m-191	86	20	conditions	condition	NOUN
m-191	86	21	.	.	PUNCT
m-191	87	1	for	for	ADP
m-191	87	2	0	0	NUM
m-191	87	3	<	<	NOUN
m-191	87	4	n	n	PRON
m-191	87	5	fractional	fractional	ADJ
m-191	87	6	integrals	integral	NOUN
m-191	87	7	are	be	AUX
m-191	87	8	generally	generally	ADV
m-191	87	9	iρµ	iρµ	ADJ
m-191	87	10	in	in	ADP
m-191	87	11	nonhomogene	nonhomogene	NOUN
m-191	87	12	lemma	lemma	PROPN
m-191	87	13	4	4	X
m-191	87	14	.	.	PUNCT
m-191	87	15	suppose	suppose	VERB
m-191	88	1	φ	φ	X
m-191	88	2	:	:	PUNCT
m-191	88	3	(	(	PUNCT
m-191	88	4	0	0	NUM
m-191	88	5	,	,	PUNCT
m-191	88	6	∞	∞	PROPN
m-191	88	7	)	)	PUNCT
m-191	88	8	→	→	SYM
m-191	88	9	(	(	PUNCT
m-191	88	10	0	0	NUM
m-191	88	11	,	,	PUNCT
m-191	88	12	∞	∞	NUM
m-191	88	13	)	)	PUNCT
m-191	88	14	with	with	ADP
m-191	88	15	lim	lim	PROPN
m-191	88	16	φ	φ	PROPN
m-191	88	17	(	(	PUNCT
m-191	88	18	r	r	NOUN
m-191	88	19	)	)	PUNCT
m-191	88	20	=	=	SYM
m-191	88	21	∞	∞	PROPN
m-191	88	22	and	and	CCONJ
m-191	88	23	lim	lim	PROPN
m-191	88	24	φ	φ	PROPN
m-191	88	25	(	(	PUNCT
m-191	88	26	r	r	NOUN
m-191	88	27	)	)	PUNCT
m-191	88	28	=	=	SYM
m-191	88	29	r	r	NOUN
m-191	88	30	→	→	SYM
m-191	88	31	0	0	NUM
m-191	88	32	+	+	CCONJ
m-191	88	33	r	r	NOUN
m-191	88	34	→	→	SYM
m-191	88	35	∞	∞	NUM
m-191	88	36	0	0	NUM
m-191	88	37	and	and	CCONJ
m-191	88	38	fulfills	fulfill	VERB
m-191	88	39	doubling	double	VERB
m-191	88	40	conditions	condition	NOUN
m-191	88	41	so	so	SCONJ
m-191	88	42	for	for	ADP
m-191	88	43	every	every	DET
m-191	88	44	t	t	NOUN
m-191	88	45	.	.	PUNCT
m-191	89	1	(	(	PUNCT
m-191	89	2	6	6	NUM
m-191	89	3	)	)	PUNCT
m-191	89	4	theorem	theorem	NOUN
m-191	89	5	5	5	NUM
m-191	89	6	.	.	PUNCT
m-191	89	7	suppose	suppose	VERB
m-191	89	8	φ	φ	PROPN
m-191	89	9	doubling	double	VERB
m-191	89	10	and	and	CCONJ
m-191	89	11	fulfilling	fulfil	VERB
m-191	89	12	1	1	NUM
m-191	89	13	.	.	PUNCT
m-191	90	1	and	and	CCONJ
m-191	90	2	inequality	inequality	NOUN
m-191	90	3	2	2	NUM
m-191	90	4	.	.	PUNCT
m-191	90	5	where	where	SCONJ
m-191	90	6	1	1	NUM
m-191	90	7	<	<	X
m-191	90	8	p	p	X
m-191	90	9	<	<	X
m-191	90	10	q	q	X
m-191	90	11	<	<	X
m-191	90	12	∞	∞	PROPN
m-191	90	13	,	,	PUNCT
m-191	90	14	then	then	ADV
m-191	90	15	evidence	evidence	NOUN
m-191	90	16	.	.	PUNCT
m-191	91	1	for	for	ADP
m-191	91	2	each	each	DET
m-191	91	3	x	x	SYM
m-191	91	4	∈rd	∈rd	PROPN
m-191	91	5	and	and	CCONJ
m-191	91	6	r	r	X
m-191	91	7	>	>	X
m-191	91	8	0	0	NUM
m-191	91	9	,	,	PUNCT
m-191	91	10	we	we	PRON
m-191	91	11	write	write	VERB
m-191	91	12	note	note	NOUN
m-191	91	13	for	for	ADP
m-191	91	14	i1	i1	PROPN
m-191	91	15	(	(	PUNCT
m-191	91	16	x	x	X
m-191	91	17	)	)	PUNCT
m-191	91	18	,	,	PUNCT
m-191	91	19	obtained	obtain	VERB
m-191	91	20	ii	ii	NOUN
m-191	91	21	.	.	PUNCT
m-191	92	1	discussion	discussion	NOUN
m-191	92	2	fractional	fractional	ADJ
m-191	92	3	integral	integral	ADJ
m-191	92	4	operators	operator	NOUN
m-191	92	5	here	here	ADV
m-191	92	6	are	be	AUX
m-191	92	7	generally	generally	ADV
m-191	92	8	fraction	fraction	NOUN
m-191	92	9	(	(	PUNCT
m-191	92	10	integral	integral	ADJ
m-191	92	11	)	)	PUNCT
m-191	92	12	integrals	integral	NOUN
m-191	92	13	using	use	VERB
m-191	92	14	the	the	DET
m-191	92	15	function	function	NOUN
m-191	92	16	ρ	ρ	PROPN
m-191	92	17	,	,	PUNCT
m-191	92	18	which	which	PRON
m-191	92	19	is	be	AUX
m-191	92	20	a	a	DET
m-191	92	21	non	non	ADJ
m-191	92	22	-	-	ADJ
m-191	92	23	negative	negative	ADJ
m-191	92	24	function	function	NOUN
m-191	92	25	,	,	PUNCT
m-191	92	26	namely	namely	ADV
m-191	92	27	ρ	ρ	NOUN
m-191	92	28	:	:	PUNCT
m-191	92	29	(	(	PUNCT
m-191	92	30	0	0	NUM
m-191	92	31	,	,	PUNCT
m-191	92	32	∞	∞	PROPN
m-191	92	33	)	)	PUNCT
m-191	92	34	→	→	SYM
m-191	92	35	(	(	PUNCT
m-191	92	36	0	0	NUM
m-191	92	37	,	,	PUNCT
m-191	92	38	∞	∞	PROPN
m-191	92	39	)	)	PUNCT
m-191	92	40	(	(	PUNCT
m-191	92	41	also	also	ADV
m-191	92	42	φ	φ	PROPN
m-191	92	43	and	and	CCONJ
m-191	92	44	ψ	ψ	NOUN
m-191	92	45	)	)	PUNCT
m-191	92	46	and	and	CCONJ
m-191	92	47	satisfies	satisfie	NOUN
m-191	92	48	doubling	double	VERB
m-191	92	49	conditions	condition	NOUN
m-191	92	50	.	.	PUNCT
m-191	93	1	for	for	ADP
m-191	93	2	0	0	NUM
m-191	93	3	<	<	NOUN
m-191	93	4	n	n	X
m-191	93	5	≤	≤	ADJ
m-191	93	6	d	d	NOUN
m-191	93	7	and	and	CCONJ
m-191	93	8	the	the	DET
m-191	93	9	function	function	NOUN
m-191	93	10	ρ	ρ	NOUN
m-191	93	11	:	:	PUNCT
m-191	93	12	(	(	PUNCT
m-191	93	13	0	0	NUM
m-191	93	14	,	,	PUNCT
m-191	93	15	∞	∞	PROPN
m-191	93	16	)	)	PUNCT
m-191	93	17	→	→	SYM
m-191	93	18	(	(	PUNCT
m-191	93	19	0	0	NUM
m-191	93	20	,	,	PUNCT
m-191	93	21	∞	∞	NOUN
m-191	93	22	)	)	PUNCT
m-191	93	23	fractional	fractional	ADJ
m-191	93	24	integrals	integral	NOUN
m-191	93	25	are	be	AUX
m-191	93	26	generally	generally	ADV
m-191	93	27	iρµ	iρµ	ADJ
m-191	93	28	in	in	ADP
m-191	93	29	nonhomogeneous	nonhomogeneous	ADJ
m-191	93	30	space	space	NOUN
m-191	93	31	defined	define	VERB
m-191	93	32	as	as	ADP
m-191	93	33	.	.	PUNCT
m-191	94	1	suppose	suppose	VERB
m-191	94	2	φ	φ	NUM
m-191	94	3	:	:	PUNCT
m-191	94	4	(	(	PUNCT
m-191	94	5	0	0	NUM
m-191	94	6	,	,	PUNCT
m-191	94	7	∞	∞	PROPN
m-191	94	8	)	)	PUNCT
m-191	94	9	→	→	SYM
m-191	94	10	(	(	PUNCT
m-191	94	11	0	0	NUM
m-191	94	12	,	,	PUNCT
m-191	94	13	∞	∞	NUM
m-191	94	14	)	)	PUNCT
m-191	94	15	with	with	ADP
m-191	94	16	lim	lim	PROPN
m-191	94	17	φ	φ	PROPN
m-191	94	18	(	(	PUNCT
m-191	94	19	r	r	NOUN
m-191	94	20	)	)	PUNCT
m-191	94	21	=	=	SYM
m-191	94	22	∞	∞	PROPN
m-191	94	23	and	and	CCONJ
m-191	94	24	lim	lim	PROPN
m-191	94	25	φ	φ	PROPN
m-191	94	26	(	(	PUNCT
m-191	94	27	r	r	NOUN
m-191	94	28	)	)	PUNCT
m-191	94	29	=	=	SYM
m-191	94	30	0	0	NUM
m-191	94	31	and	and	CCONJ
m-191	94	32	fulfills	fulfill	VERB
m-191	94	33	doubling	double	VERB
m-191	94	34	conditions	condition	NOUN
m-191	94	35	so	so	SCONJ
m-191	94	36	for	for	ADP
m-191	94	37	every	every	DET
m-191	94	38	t	t	NOUN
m-191	94	39	∈	∈	PROPN
m-191	94	40	r	r	PROPN
m-191	94	41	,	,	PUNCT
m-191	94	42	t	t	PROPN
m-191	94	43	>	>	X
m-191	94	44	0	0	PUNCT
m-191	95	1	there	there	PRON
m-191	95	2	is	be	VERB
m-191	95	3	r	r	NOUN
m-191	95	4	>	>	X
m-191	95	5	0	0	PUNCT
m-191	96	1	so	so	SCONJ
m-191	96	2	that	that	SCONJ
m-191	96	3	(	(	PUNCT
m-191	96	4	6	6	NUM
m-191	96	5	)	)	PUNCT
m-191	96	6	theorem	theorem	NOUN
m-191	96	7	5	5	NUM
m-191	96	8	.	.	PUNCT
m-191	96	9	suppose	suppose	VERB
m-191	96	10	φ	φ	PROPN
m-191	96	11	doubling	double	VERB
m-191	96	12	and	and	CCONJ
m-191	96	13	fulfilling	fulfil	VERB
m-191	96	14	then	then	ADV
m-191	96	15	||iρ	||iρ	PROPN
m-191	96	16	µf||	µf||	X
m-191	96	17	q	q	X
m-191	96	18	,	,	PUNCT
m-191	96	19	φpq	φpq	PROPN
m-191	96	20	≤	≤	PROPN
m-191	96	21	c||f||	c||f||	VERB
m-191	96	22	lp	lp	NOUN
m-191	96	23	,	,	PUNCT
m-191	96	24	φ(µ	φ(µ	NOUN
m-191	96	25	)	)	PUNCT
m-191	96	26	.	.	PUNCT
m-191	97	1	l	l	NOUN
m-191	97	2	(	(	PUNCT
m-191	97	3	µ	µ	NOUN
m-191	97	4	)	)	PUNCT
m-191	97	5	rd	rd	PROPN
m-191	97	6	and	and	CCONJ
m-191	97	7	r	r	X
m-191	97	8	>	>	X
m-191	97	9	0	0	NUM
m-191	97	10	,	,	PUNCT
m-191	97	11	we	we	PRON
m-191	97	12	write	write	VERB
m-191	97	13	(	(	PUNCT
m-191	97	14	integral	integral	ADJ
m-191	97	15	)	)	PUNCT
m-191	97	16	integrals	integral	NOUN
m-191	97	17	using	use	VERB
m-191	97	18	the	the	DET
m-191	97	19	negative	negative	ADJ
m-191	97	20	function	function	NOUN
m-191	97	21	,	,	PUNCT
m-191	97	22	namely	namely	ADV
m-191	97	23	ρ	ρ	NOUN
m-191	97	24	:	:	PUNCT
m-191	97	25	(	(	PUNCT
m-191	97	26	0	0	NUM
m-191	97	27	,	,	PUNCT
m-191	97	28	∞	∞	PROPN
m-191	97	29	)	)	PUNCT
m-191	97	30	→	→	SYM
m-191	97	31	(	(	PUNCT
m-191	97	32	0	0	NUM
m-191	97	33	,	,	PUNCT
m-191	97	34	∞	∞	PROPN
m-191	97	35	)	)	PUNCT
m-191	97	36	(	(	PUNCT
m-191	97	37	also	also	ADV
m-191	97	38	φ	φ	PROPN
m-191	97	39	and	and	CCONJ
m-191	97	40	ψ	ψ	NOUN
m-191	97	41	)	)	PUNCT
m-191	97	42	ρ	ρ	NOUN
m-191	97	43	:	:	PUNCT
m-191	97	44	(	(	PUNCT
m-191	97	45	0	0	NUM
m-191	97	46	,	,	PUNCT
m-191	97	47	∞	∞	PROPN
m-191	97	48	)	)	PUNCT
m-191	97	49	→	→	SYM
m-191	97	50	(	(	PUNCT
m-191	97	51	0	0	NUM
m-191	97	52	,	,	PUNCT
m-191	97	53	∞	∞	NUM
m-191	97	54	)	)	PUNCT
m-191	98	1	ous	ous	ADJ
m-191	98	2	space	space	NOUN
m-191	98	3	defined	define	VERB
m-191	98	4	as	as	SCONJ
m-191	98	5	suppose	suppose	VERB
m-191	98	6	φ	φ	NUM
m-191	98	7	:	:	PUNCT
m-191	98	8	(	(	PUNCT
m-191	98	9	0	0	NUM
m-191	98	10	,	,	PUNCT
m-191	98	11	∞	∞	PROPN
m-191	98	12	)	)	PUNCT
m-191	98	13	→	→	SYM
m-191	98	14	(	(	PUNCT
m-191	98	15	0	0	NUM
m-191	98	16	,	,	PUNCT
m-191	98	17	∞	∞	NUM
m-191	98	18	)	)	PUNCT
m-191	98	19	with	with	ADP
m-191	98	20	lim	lim	PROPN
m-191	98	21	φ	φ	PROPN
m-191	98	22	(	(	PUNCT
m-191	98	23	r	r	NOUN
m-191	98	24	)	)	PUNCT
m-191	98	25	=	=	SYM
m-191	98	26	∞	∞	PROPN
m-191	98	27	and	and	CCONJ
m-191	98	28	lim	lim	PROPN
m-191	98	29	φ	φ	PROPN
m-191	98	30	(	(	PUNCT
m-191	98	31	r	r	NOUN
m-191	98	32	)	)	PUNCT
m-191	98	33	=	=	SYM
m-191	98	34	ijointernational	ijointernational	ADJ
m-191	98	35	journal	journal	NOUN
m-191	98	36	of	of	ADP
m-191	98	37	mathematics	mathematics	PROPN
m-191	98	38	(	(	PUNCT
m-191	98	39	issn	issn	PROPN
m-191	98	40	:	:	PUNCT
m-191	98	41	2805	2805	NUM
m-191	98	42	-	-	PUNCT
m-191	98	43	413x	413x	PROPN
m-191	98	44	)	)	PUNCT
m-191	98	45	volume	volume	NOUN
m-191	98	46	02	02	NUM
m-191	98	47	|issue	|issue	NOUN
m-191	98	48	07	07	NUM
m-191	98	49	|	|	CCONJ
m-191	98	50	july	july	PROPN
m-191	98	51	2019	2019	NUM
m-191	98	52	www.ijojournals.com	www.ijojournals.com	X
m-191	98	53	5	5	NUM
m-191	98	54	next	next	ADV
m-191	98	55	,	,	PUNCT
m-191	98	56	for	for	ADP
m-191	98	57	i2	i2	PROPN
m-191	98	58	(	(	PUNCT
m-191	98	59	x	x	X
m-191	98	60	)	)	PUNCT
m-191	98	61	is	be	AUX
m-191	98	62	obtained	obtain	VERB
m-191	98	63	,	,	PUNCT
m-191	98	64	by	by	ADP
m-191	98	65	adding	add	VERB
m-191	98	66	i1	i1	PROPN
m-191	98	67	and	and	CCONJ
m-191	98	68	i2	i2	PROPN
m-191	98	69	,	,	PUNCT
m-191	98	70	obtained	obtain	VERB
m-191	98	71	next	next	ADV
m-191	98	72	,	,	PUNCT
m-191	98	73	assuming	assume	VERB
m-191	98	74	f	f	PROPN
m-191	98	75	6	6	NUM
m-191	98	76	=	=	SYM
m-191	98	77	0	0	NUM
m-191	98	78	,	,	PUNCT
m-191	98	79	suppose	suppose	VERB
m-191	98	80	as	as	ADP
m-191	98	81	a	a	DET
m-191	98	82	result	result	NOUN
m-191	98	83	,	,	PUNCT
m-191	98	84	next	next	ADV
m-191	98	85	,	,	PUNCT
m-191	98	86	for	for	SCONJ
m-191	98	87	i2	i2	PROPN
m-191	98	88	(	(	PUNCT
m-191	98	89	x	x	X
m-191	98	90	)	)	PUNCT
m-191	98	91	is	be	AUX
m-191	98	92	obtained	obtain	VERB
m-191	98	93	,	,	PUNCT
m-191	98	94	by	by	ADP
m-191	98	95	adding	add	VERB
m-191	98	96	i1	i1	PROPN
m-191	98	97	and	and	CCONJ
m-191	98	98	i2	i2	PROPN
m-191	98	99	,	,	PUNCT
m-191	98	100	obtained	obtain	VERB
m-191	98	101	next	next	ADV
m-191	98	102	,	,	PUNCT
m-191	98	103	assuming	assume	VERB
m-191	98	104	f	f	PROPN
m-191	98	105	6	6	NUM
m-191	98	106	=	=	SYM
m-191	98	107	0	0	NUM
m-191	98	108	,	,	PUNCT
m-191	98	109	suppose	suppose	VERB
m-191	98	110	0	0	X
m-191	98	111	.	.	PUNCT
m-191	98	112	based	base	VERB
m-191	98	113	on	on	ADP
m-191	98	114	(	(	PUNCT
m-191	98	115	4	4	NUM
m-191	98	116	)	)	PUNCT
m-191	98	117	,	,	PUNCT
m-191	98	118	.	.	PUNCT
m-191	98	119	.	.	PUNCT
m-191	99	1	(	(	PUNCT
m-191	99	2	7	7	X
m-191	99	3	)	)	PUNCT
m-191	99	4	ijointernational	ijointernational	ADJ
m-191	99	5	journal	journal	NOUN
m-191	99	6	of	of	ADP
m-191	99	7	mathematics	mathematics	PROPN
m-191	99	8	(	(	PUNCT
m-191	99	9	issn	issn	PROPN
m-191	99	10	:	:	PUNCT
m-191	99	11	2805	2805	NUM
m-191	99	12	-	-	PUNCT
m-191	99	13	413x	413x	PROPN
m-191	99	14	)	)	PUNCT
m-191	99	15	volume	volume	NOUN
m-191	99	16	02	02	NUM
m-191	99	17	|issue	|issue	NOUN
m-191	99	18	07	07	NUM
m-191	100	1	|	|	CCONJ
m-191	100	2	july	july	PROPN
m-191	100	3	2019	2019	NUM
m-191	100	4	www.ijojournals.com	www.ijojournals.com	X
m-191	100	5	6	6	NUM
m-191	100	6	for	for	ADP
m-191	100	7	every	every	DET
m-191	100	8	x.	x.	NOUN
m-191	100	9	thus	thus	ADV
m-191	100	10	obtained	obtain	VERB
m-191	100	11	,	,	PUNCT
m-191	100	12	z	z	PROPN
m-191	100	13	z	z	PROPN
m-191	100	14	|iρµf	|iρµf	PROPN
m-191	100	15	b(a	b(a	NOUN
m-191	100	16	,	,	PUNCT
m-191	100	17	r	r	NOUN
m-191	100	18	)	)	PUNCT
m-191	100	19	b	b	NOUN
m-191	100	20	(	(	PUNCT
m-191	100	21	so	so	ADV
m-191	100	22	,	,	PUNCT
m-191	100	23	as	as	ADP
m-191	100	24	a	a	DET
m-191	100	25	result	result	NOUN
m-191	100	26	,	,	PUNCT
m-191	100	27	thus	thus	ADV
m-191	100	28	,	,	PUNCT
m-191	100	29	it	it	PRON
m-191	100	30	is	be	AUX
m-191	100	31	evident	evident	ADJ
m-191	100	32	that	that	SCONJ
m-191	100	33	the	the	DET
m-191	100	34	morrey	morrey	PROPN
m-191	100	35	space	space	NOUN
m-191	100	36	which	which	PRON
m-191	100	37	is	be	AUX
m-191	100	38	generally	generally	ADV
m-191	100	39	not	not	PART
m-191	100	40	homogeneous	homogeneous	ADJ
m-191	100	41	.	.	PUNCT
m-191	101	1	it	it	PRON
m-191	101	2	can	can	AUX
m-191	101	3	be	be	AUX
m-191	101	4	seen	see	VERB
m-191	101	5	that	that	SCONJ
m-191	101	6	if	if	SCONJ
m-191	101	7	the	the	DET
m-191	101	8	function	function	NOUN
m-191	101	9	ρ	ρ	PROPN
m-191	101	10	(	(	PUNCT
m-191	101	11	t	t	PROPN
m-191	101	12	)	)	PUNCT
m-191	101	13	=	=	SYM
m-191	101	14	tα	tα	PROPN
m-191	101	15	is	be	AUX
m-191	101	16	chosen	choose	VERB
m-191	101	17	then	then	ADV
m-191	101	18	for	for	ADP
m-191	101	19	each	each	DET
m-191	101	20	x	x	NOUN
m-191	101	21	,	,	PUNCT
m-191	101	22	y	y	PROPN
m-191	101	23	y	y	PROPN
m-191	101	24	|	|	ADV
m-191	101	25	)	)	PUNCT
m-191	101	26	=	=	PUNCT
m-191	102	1	|	|	ADV
m-191	102	2	x	x	SYM
m-191	102	3	y	y	NOUN
m-191	102	4	|	|	ADV
m-191	102	5	α	α	NOUN
m-191	102	6	,	,	PUNCT
m-191	102	7	consequently	consequently	ADV
m-191	102	8	for	for	SCONJ
m-191	102	9	every	every	DET
m-191	102	10	x.	x.	NOUN
m-191	102	11	thus	thus	ADV
m-191	102	12	obtained	obtain	VERB
m-191	102	13	,	,	PUNCT
m-191	102	14	iρµf(x)|qdµ(x	iρµf(x)|qdµ(x	NOUN
m-191	102	15	)	)	PUNCT
m-191	102	16	≤	≤	NOUN
m-191	102	17	||f||lq−p	||f||lq−p	NOUN
m-191	102	18	,	,	PUNCT
m-191	102	19	φp	φp	ADP
m-191	102	20	(	(	PUNCT
m-191	102	21	µ)mµf(x)pdµ(x	µ)mµf(x)pdµ(x	X
m-191	102	22	(	(	PUNCT
m-191	102	23	a	a	PRON
m-191	102	24	,	,	PUNCT
m-191	102	25	r	r	NOUN
m-191	102	26	)	)	PUNCT
m-191	102	27	z	z	NOUN
m-191	102	28	≤	≤	NOUN
m-191	103	1	c||f||ql−p	c||f||ql−p	PROPN
m-191	103	2	,	,	PUNCT
m-191	103	3	φp	φp	ADP
m-191	103	4	(	(	PUNCT
m-191	103	5	µ	µ	NOUN
m-191	103	6	)	)	PUNCT
m-191	103	7	mµf(x)pdµ(x	mµf(x)pdµ(x	PROPN
m-191	103	8	b(a	b(a	NOUN
m-191	103	9	,	,	PUNCT
m-191	103	10	r	r	NOUN
m-191	103	11	)	)	PUNCT
m-191	103	12	p	p	NOUN
m-191	103	13	≤	≤	PROPN
m-191	103	14	c||f||	c||f||	VERB
m-191	103	15	lp	lp	NOUN
m-191	103	16	,	,	PUNCT
m-191	103	17	φ(µ	φ(µ	NOUN
m-191	103	18	)	)	PUNCT
m-191	103	19	.	.	PUNCT
m-191	104	1	q	q	X
m-191	104	2	(	(	PUNCT
m-191	104	3	µ	µ	NOUN
m-191	104	4	)	)	PUNCT
m-191	104	5	thus	thus	ADV
m-191	104	6	,	,	PUNCT
m-191	104	7	it	it	PRON
m-191	104	8	is	be	AUX
m-191	104	9	evident	evident	ADJ
m-191	104	10	that	that	SCONJ
m-191	104	11	the	the	DET
m-191	104	12	generalized	generalized	ADJ
m-191	104	13	integral	integral	ADJ
m-191	104	14	fractional	fractional	ADJ
m-191	104	15	operator	operator	NOUN
m-191	104	16	is	be	AUX
m-191	104	17	also	also	ADV
m-191	104	18	bounded	bound	VERB
m-191	104	19	in	in	ADP
m-191	104	20	the	the	DET
m-191	104	21	morrey	morrey	PROPN
m-191	104	22	space	space	NOUN
m-191	104	23	which	which	PRON
m-191	104	24	is	be	AUX
m-191	104	25	generally	generally	ADV
m-191	104	26	not	not	PART
m-191	104	27	homogeneous	homogeneous	ADJ
m-191	104	28	.	.	PUNCT
m-191	105	1	iii	iii	X
m-191	105	2	.	.	PUNCT
m-191	105	3	conclusion	conclusion	NOUN
m-191	105	4	it	it	PRON
m-191	105	5	can	can	AUX
m-191	105	6	be	be	AUX
m-191	105	7	seen	see	VERB
m-191	105	8	that	that	SCONJ
m-191	105	9	if	if	SCONJ
m-191	105	10	the	the	DET
m-191	105	11	function	function	NOUN
m-191	105	12	ρ	ρ	PROPN
m-191	105	13	(	(	PUNCT
m-191	105	14	t	t	PROPN
m-191	105	15	)	)	PUNCT
m-191	105	16	=	=	SYM
m-191	105	17	tα	tα	PROPN
m-191	105	18	is	be	AUX
m-191	105	19	chosen	choose	VERB
m-191	105	20	then	then	ADV
m-191	105	21	for	for	ADP
m-191	105	22	each	each	DET
m-191	105	23	x	x	NOUN
m-191	105	24	,	,	PUNCT
m-191	105	25	y	y	PROPN
m-191	105	26	∈	∈	PROPN
m-191	105	27	y	y	PROPN
m-191	105	28	|	|	ADV
m-191	105	29	α	α	NOUN
m-191	105	30	,	,	PUNCT
m-191	105	31	consequently	consequently	ADV
m-191	105	32	x	x	NOUN
m-191	105	33	)	)	PUNCT
m-191	105	34	x	x	NOUN
m-191	105	35	)	)	PUNCT
m-191	105	36	.	.	PUNCT
m-191	106	1	generalized	generalize	VERB
m-191	106	2	integral	integral	ADJ
m-191	106	3	fractional	fractional	ADJ
m-191	106	4	operator	operator	NOUN
m-191	106	5	is	be	AUX
m-191	106	6	also	also	ADV
m-191	106	7	bounded	bound	VERB
m-191	106	8	in	in	ADP
m-191	106	9	the	the	DET
m-191	106	10	∈rd	∈rd	PROPN
m-191	106	11	applies	apply	VERB
m-191	106	12	ρ	ρ	NOUN
m-191	106	13	(	(	PUNCT
m-191	106	14	|	|	ADV
m-191	106	15	x	x	SYM
m-191	106	16	ijointernational	ijointernational	ADJ
m-191	106	17	journal	journal	NOUN
m-191	106	18	of	of	ADP
m-191	106	19	mathematics	mathematics	PROPN
m-191	106	20	(	(	PUNCT
m-191	106	21	issn	issn	PROPN
m-191	106	22	:	:	PUNCT
m-191	106	23	2805	2805	NUM
m-191	106	24	-	-	PUNCT
m-191	106	25	413x	413x	PROPN
m-191	106	26	)	)	PUNCT
m-191	106	27	volume	volume	NOUN
m-191	106	28	02	02	NUM
m-191	106	29	|issue	|issue	NOUN
m-191	106	30	07	07	NUM
m-191	107	1	|	|	CCONJ
m-191	107	2	july	july	PROPN
m-191	107	3	2019	2019	NUM
m-191	107	4	www.ijojournals.com	www.ijojournals.com	X
m-191	107	5	7	7	NUM
m-191	107	6	thus	thus	ADV
m-191	107	7	,	,	PUNCT
m-191	107	8	the	the	DET
m-191	107	9	boundedness	boundedness	NOUN
m-191	107	10	of	of	ADP
m-191	107	11	the	the	DET
m-191	107	12	fractional	fractional	ADJ
m-191	107	13	integral	integral	ADJ
m-191	107	14	operators	operator	NOUN
m-191	107	15	that	that	PRON
m-191	107	16	are	be	AUX
m-191	107	17	generally	generally	ADV
m-191	107	18	formulated	formulate	VERB
m-191	107	19	in	in	ADP
m-191	107	20	the	the	DET
m-191	107	21	morrey	morrey	PROPN
m-191	107	22	space	space	NOUN
m-191	107	23	are	be	AUX
m-191	107	24	not	not	PART
m-191	107	25	homogeneous	homogeneous	ADJ
m-191	107	26	resulting	result	VERB
m-191	107	27	in	in	ADP
m-191	107	28	the	the	DET
m-191	107	29	boundedness	boundedness	NOUN
m-191	107	30	of	of	ADP
m-191	107	31	fractional	fractional	ADJ
m-191	107	32	integral	integral	ADJ
m-191	107	33	operators	operator	NOUN
m-191	107	34	in	in	ADP
m-191	107	35	the	the	DET
m-191	107	36	morrey	morrey	PROPN
m-191	107	37	space	space	NOUN
m-191	107	38	which	which	PRON
m-191	107	39	are	be	AUX
m-191	107	40	generally	generally	ADV
m-191	107	41	not	not	PART
m-191	107	42	homogeneous	homogeneous	ADJ
m-191	107	43	.	.	PUNCT
m-191	108	1	in	in	ADP
m-191	108	2	ad	ad	NOUN
m-191	108	3	in	in	ADP
m-191	108	4	the	the	DET
m-191	108	5	limitation	limitation	NOUN
m-191	108	6	of	of	ADP
m-191	108	7	the	the	DET
m-191	108	8	fractional	fractional	ADJ
m-191	108	9	integral	integral	ADJ
m-191	108	10	operator	operator	NOUN
m-191	108	11	iα	iα	NOUN
m-191	108	12	in	in	ADP
m-191	108	13	the	the	DET
m-191	108	14	morrey	morrey	PROPN
m-191	108	15	space	space	NOUN
m-191	108	16	.	.	PUNCT
m-191	109	1	next	next	ADV
m-191	109	2	,	,	PUNCT
m-191	109	3	with	with	ADP
m-191	109	4	the	the	DET
m-191	109	5	selection	selection	NOUN
m-191	109	6	of	of	ADP
m-191	109	7	functions	function	NOUN
m-191	109	8	,	,	PUNCT
m-191	109	9	for	for	ADP
m-191	109	10	each	each	DET
m-191	109	11	f	f	PROPN
m-191	109	12	thus	thus	ADV
m-191	109	13	,	,	PUNCT
m-191	109	14	if	if	SCONJ
m-191	109	15	then	then	ADV
m-191	109	16	lp	lp	NOUN
m-191	109	17	,	,	PUNCT
m-191	109	18	φ	φ	PROPN
m-191	109	19	(	(	PUNCT
m-191	109	20	µ	µ	NOUN
m-191	109	21	)	)	PUNCT
m-191	109	22	=	=	SYM
m-191	109	23	lp	lp	NOUN
m-191	109	24	,	,	PUNCT
m-191	109	25	λ	λ	PROPN
m-191	109	26	(	(	PUNCT
m-191	109	27	µ	µ	NOUN
m-191	109	28	)	)	PUNCT
m-191	109	29	.	.	PUNCT
m-191	110	1	also	also	ADV
m-191	110	2	,	,	PUNCT
m-191	110	3	if	if	SCONJ
m-191	110	4	selected	select	VERB
m-191	110	5	φ	φ	PROPN
m-191	110	6	(	(	PUNCT
m-191	110	7	t	t	PROPN
m-191	110	8	)	)	PUNCT
m-191	110	9	=	=	PUNCT
m-191	111	1	whereas	whereas	SCONJ
m-191	111	2	if	if	SCONJ
m-191	111	3	dµ	dµ	PRON
m-191	111	4	=	=	SYM
m-191	111	5	dx	dx	PROPN
m-191	111	6	,	,	PUNCT
m-191	111	7	for	for	ADP
m-191	111	8	lp	lp	PROPN
m-191	111	9	,	,	PUNCT
m-191	111	10	φ	φ	PROPN
m-191	111	11	(	(	PUNCT
m-191	111	12	µ	µ	NOUN
m-191	111	13	)	)	PUNCT
m-191	112	1	=	=	SYM
m-191	112	2	lp	lp	NOUN
m-191	112	3	,	,	PUNCT
m-191	112	4	λ	λ	PROPN
m-191	112	5	(	(	PUNCT
m-191	112	6	rn	rn	NOUN
m-191	112	7	)	)	PUNCT
m-191	112	8	and	and	CCONJ
m-191	112	9	for	for	ADP
m-191	112	10	lp	lp	PROPN
m-191	112	11	,	,	PUNCT
m-191	112	12	φ	φ	PROPN
m-191	112	13	(	(	PUNCT
m-191	112	14	µ	µ	NOUN
m-191	112	15	)	)	PUNCT
m-191	112	16	=	=	SYM
m-191	112	17	lp	lp	PROPN
m-191	112	18	(	(	PUNCT
m-191	112	19	rn	rn	NOUN
m-191	112	20	)	)	PUNCT
m-191	112	21	.	.	PUNCT
m-191	113	1	[	[	X
m-191	113	2	1	1	NUM
m-191	113	3	]	]	X
m-191	113	4	adams	adams	PROPN
m-191	113	5	,	,	PUNCT
m-191	113	6	d.	d.	PROPN
m-191	113	7	r.	r.	PROPN
m-191	113	8	dan	dan	PROPN
m-191	113	9	l.	l.	PROPN
m-191	113	10	i.	i.	PROPN
m-191	113	11	hedberg	hedberg	PROPN
m-191	113	12	,	,	PUNCT
m-191	113	13	(	(	PUNCT
m-191	113	14	1975	1975	NUM
m-191	113	15	)	)	PUNCT
m-191	113	16	,	,	PUNCT
m-191	113	17	”	"	PUNCT
m-191	113	18	a	a	DET
m-191	113	19	note	note	NOUN
m-191	113	20	on	on	ADP
m-191	113	21	riesz	riesz	PROPN
m-191	113	22	potentials	potential	NOUN
m-191	113	23	”	"	PUNCT
m-191	113	24	,	,	PUNCT
m-191	113	25	duke	duke	PROPN
m-191	113	26	math	math	PROPN
m-191	113	27	.	.	PUNCT
m-191	114	1	j.	j.	PROPN
m-191	114	2	,	,	PUNCT
m-191	114	3	42	42	NUM
m-191	114	4	,	,	PUNCT
m-191	114	5	765	765	NUM
m-191	114	6	-	-	SYM
m-191	114	7	778	778	NUM
m-191	114	8	.	.	PUNCT
m-191	115	1	[	[	X
m-191	115	2	2	2	NUM
m-191	115	3	]	]	X
m-191	115	4	chiarenza	chiarenza	NOUN
m-191	115	5	,	,	PUNCT
m-191	115	6	f	f	PROPN
m-191	115	7	dan	dan	PROPN
m-191	115	8	m.	m.	PROPN
m-191	115	9	frasca	frasca	PROPN
m-191	115	10	,	,	PUNCT
m-191	115	11	(	(	PUNCT
m-191	115	12	1987	1987	NUM
m-191	115	13	)	)	PUNCT
m-191	115	14	,	,	PUNCT
m-191	115	15	”	"	PUNCT
m-191	115	16	morrey	morrey	NOUN
m-191	115	17	space	space	NOUN
m-191	115	18	and	and	CCONJ
m-191	115	19	hardy	hardy	ADJ
m-191	115	20	function	function	NOUN
m-191	115	21	”	"	PUNCT
m-191	115	22	,	,	PUNCT
m-191	115	23	rend	rend	VERB
m-191	115	24	.	.	PUNCT
m-191	116	1	mat	mat	NOUN
m-191	116	2	.	.	NOUN
m-191	116	3	7	7	NUM
m-191	116	4	,	,	PUNCT
m-191	116	5	273	273	NUM
m-191	117	1	[	[	SYM
m-191	117	2	3	3	NUM
m-191	117	3	]	]	X
m-191	117	4	eridani	eridani	X
m-191	117	5	,	,	PUNCT
m-191	117	6	(	(	PUNCT
m-191	117	7	2002	2002	NUM
m-191	117	8	)	)	PUNCT
m-191	117	9	,	,	PUNCT
m-191	117	10	”	"	PUNCT
m-191	117	11	on	on	ADP
m-191	117	12	the	the	DET
m-191	117	13	boundedness	boundedness	NOUN
m-191	117	14	of	of	ADP
m-191	117	15	generalized	generalized	ADJ
m-191	117	16	fractional	fractional	ADJ
m-191	117	17	integral	integral	ADJ
m-191	117	18	on	on	ADP
m-191	117	19	generalized	generalize	VERB
m-191	117	20	morrey	morrey	NOUN
m-191	117	21	spaces	space	NOUN
m-191	117	22	”	"	PUNCT
m-191	117	23	,	,	PUNCT
m-191	117	24	tamkang	tamkang	PROPN
m-191	117	25	j.	j.	PROPN
m-191	117	26	math	math	PROPN
m-191	117	27	.	.	PUNCT
m-191	118	1	33	33	NUM
m-191	118	2	,	,	PUNCT
m-191	118	3	335	335	NUM
m-191	119	1	[	[	SYM
m-191	119	2	4	4	NUM
m-191	119	3	]	]	X
m-191	119	4	eridani	eridani	X
m-191	119	5	,	,	PUNCT
m-191	119	6	h.	h.	PROPN
m-191	119	7	gunawan	gunawan	PROPN
m-191	119	8	dan	dan	PROPN
m-191	119	9	e.	e.	PROPN
m-191	119	10	nakai	nakai	PROPN
m-191	119	11	,	,	PUNCT
m-191	119	12	(	(	PUNCT
m-191	119	13	2004	2004	NUM
m-191	119	14	)	)	PUNCT
m-191	119	15	,	,	PUNCT
m-191	119	16	”	"	PUNCT
m-191	119	17	on	on	ADP
m-191	119	18	generalized	generalized	ADJ
m-191	119	19	fractional	fractional	ADJ
m-191	119	20	integral	integral	ADJ
m-191	119	21	operators	operator	NOUN
m-191	119	22	”	"	PUNCT
m-191	119	23	,	,	PUNCT
m-191	119	24	sci	sci	PROPN
m-191	119	25	.	.	PROPN
m-191	119	26	math	math	PROPN
m-191	119	27	.	.	PUNCT
m-191	120	1	jpn	jpn	PROPN
m-191	120	2	.	.	PROPN
m-191	121	1	60	60	NUM
m-191	121	2	,	,	PUNCT
m-191	122	1	539	539	NUM
m-191	122	2	[	[	SYM
m-191	122	3	5	5	NUM
m-191	122	4	]	]	SYM
m-191	122	5	eridani	eridani	X
m-191	122	6	,	,	PUNCT
m-191	122	7	h.gunawan	h.gunawan	PROPN
m-191	122	8	,	,	PUNCT
m-191	122	9	(	(	PUNCT
m-191	122	10	2006	2006	NUM
m-191	122	11	)	)	PUNCT
m-191	122	12	,	,	PUNCT
m-191	122	13	”	"	PUNCT
m-191	122	14	fractional	fractional	ADJ
m-191	122	15	integral	integral	ADJ
m-191	122	16	and	and	CCONJ
m-191	122	17	generalized	generalized	ADJ
m-191	122	18	olsen	olsen	NOUN
m-191	122	19	inequalities	inequality	NOUN
m-191	122	20	”	"	PUNCT
m-191	122	21	,	,	PUNCT
m-191	122	22	itb	itb	NOUN
m-191	122	23	research	research	NOUN
m-191	122	24	grant	grant	NOUN
m-191	122	25	.	.	PUNCT
m-191	123	1	no	no	INTJ
m-191	123	2	.	.	NOUN
m-191	123	3	0004/	0004/	NUM
m-191	124	1	k01.03.2/	k01.03.2/	INTJ
m-191	124	2	pl	pl	PROPN
m-191	124	3	2.1.5/	2.1.5/	PROPN
m-191	124	4	i.	i.	PROPN
m-191	124	5	thus	thus	ADV
m-191	124	6	,	,	PUNCT
m-191	124	7	the	the	DET
m-191	124	8	boundedness	boundedness	NOUN
m-191	124	9	of	of	ADP
m-191	124	10	the	the	DET
m-191	124	11	fractional	fractional	ADJ
m-191	124	12	integral	integral	ADJ
m-191	124	13	operators	operator	NOUN
m-191	124	14	that	that	PRON
m-191	124	15	are	be	AUX
m-191	124	16	generally	generally	ADV
m-191	124	17	formulated	formulate	VERB
m-191	124	18	in	in	ADP
m-191	124	19	the	the	DET
m-191	124	20	morrey	morrey	PROPN
m-191	124	21	space	space	NOUN
m-191	124	22	are	be	AUX
m-191	124	23	not	not	PART
m-191	124	24	homogeneous	homogeneous	ADJ
m-191	124	25	resulting	result	VERB
m-191	124	26	in	in	ADP
m-191	124	27	the	the	DET
m-191	124	28	boundedness	boundedness	NOUN
m-191	124	29	of	of	ADP
m-191	124	30	fractional	fractional	ADJ
m-191	124	31	integral	integral	ADJ
m-191	124	32	operators	operator	NOUN
m-191	124	33	in	in	ADP
m-191	124	34	the	the	DET
m-191	124	35	morrey	morrey	PROPN
m-191	124	36	space	space	NOUN
m-191	124	37	which	which	PRON
m-191	124	38	are	be	AUX
m-191	124	39	generally	generally	ADV
m-191	124	40	not	not	PART
m-191	124	41	homogeneous	homogeneous	ADJ
m-191	124	42	.	.	PUNCT
m-191	125	1	in	in	ADP
m-191	125	2	addition	addition	NOUN
m-191	125	3	,	,	PUNCT
m-191	125	4	if	if	SCONJ
m-191	125	5	dµ	dµ	ADV
m-191	125	6	=	=	PUNCT
m-191	125	7	dx	dx	PROPN
m-191	125	8	then	then	ADV
m-191	125	9	it	it	PRON
m-191	125	10	results	result	VERB
m-191	125	11	in	in	ADP
m-191	125	12	the	the	DET
m-191	125	13	limitation	limitation	NOUN
m-191	125	14	of	of	ADP
m-191	125	15	the	the	DET
m-191	125	16	fractional	fractional	ADJ
m-191	125	17	integral	integral	ADJ
m-191	125	18	operator	operator	NOUN
m-191	125	19	iα	iα	NOUN
m-191	125	20	in	in	ADP
m-191	125	21	the	the	DET
m-191	125	22	morrey	morrey	PROPN
m-191	125	23	space	space	NOUN
m-191	125	24	.	.	PUNCT
m-191	126	1	next	next	ADV
m-191	126	2	,	,	PUNCT
m-191	126	3	with	with	ADP
m-191	126	4	the	the	DET
m-191	126	5	selection	selection	NOUN
m-191	126	6	of	of	ADP
m-191	126	7	functions	function	NOUN
m-191	126	8	,	,	PUNCT
m-191	126	9	for	for	ADP
m-191	126	10	each	each	DET
m-191	126	11	f	f	PROPN
m-191	126	12	∈	∈	PROPN
m-191	126	13	lp	lp	PROPN
m-191	126	14	,	,	PUNCT
m-191	126	15	φ	φ	PROPN
m-191	126	16	(	(	PUNCT
m-191	126	17	rd	rd	NOUN
m-191	126	18	)	)	PUNCT
m-191	126	19	is	be	AUX
m-191	126	20	obtained	obtain	VERB
m-191	126	21	,	,	PUNCT
m-191	126	22	thus	thus	ADV
m-191	126	23	,	,	PUNCT
m-191	126	24	if	if	SCONJ
m-191	126	25	then	then	ADV
m-191	126	26	lp	lp	NOUN
m-191	126	27	,	,	PUNCT
m-191	126	28	φ	φ	PROPN
m-191	126	29	(	(	PUNCT
m-191	126	30	µ	µ	NOUN
m-191	126	31	)	)	PUNCT
m-191	127	1	=	=	SYM
m-191	127	2	lp	lp	NOUN
m-191	127	3	,	,	PUNCT
m-191	127	4	λ	λ	PROPN
m-191	127	5	(	(	PUNCT
m-191	127	6	µ	µ	NOUN
m-191	127	7	)	)	PUNCT
m-191	127	8	.	.	PUNCT
m-191	128	1	also	also	ADV
m-191	128	2	,	,	PUNCT
m-191	128	3	if	if	SCONJ
m-191	128	4	selected	select	VERB
m-191	128	5	φ	φ	PROPN
m-191	128	6	(	(	PUNCT
m-191	128	7	t	t	PROPN
m-191	128	8	)	)	PUNCT
m-191	128	9	=	=	PUNCT
m-191	129	1	then	then	ADV
m-191	129	2	lp	lp	PROPN
m-191	129	3	,	,	PUNCT
m-191	129	4	φ	φ	PROPN
m-191	129	5	(	(	PUNCT
m-191	129	6	µ	µ	NOUN
m-191	129	7	)	)	PUNCT
m-191	129	8	=	=	SYM
m-191	129	9	lp	lp	PROPN
m-191	129	10	(	(	PUNCT
m-191	129	11	µ	µ	NOUN
m-191	129	12	)	)	PUNCT
m-191	129	13	,	,	PUNCT
m-191	129	14	whereas	whereas	SCONJ
m-191	129	15	if	if	SCONJ
m-191	129	16	dµ	dµ	PRON
m-191	129	17	=	=	SYM
m-191	129	18	dx	dx	PROPN
m-191	129	19	,	,	PUNCT
m-191	129	20	for	for	ADP
m-191	129	21	lp	lp	PROPN
m-191	129	22	,	,	PUNCT
m-191	129	23	φ	φ	PROPN
m-191	129	24	(	(	PUNCT
m-191	129	25	µ	µ	NOUN
m-191	129	26	)	)	PUNCT
m-191	129	27	=	=	SYM
m-191	129	28	lp	lp	NOUN
m-191	129	29	,	,	PUNCT
m-191	129	30	λ	λ	PROPN
m-191	129	31	(	(	PUNCT
m-191	129	32	rn	rn	NOUN
m-191	129	33	)	)	PUNCT
m-191	129	34	and	and	CCONJ
m-191	129	35	for	for	ADP
m-191	129	36	lp	lp	PROPN
m-191	129	37	,	,	PUNCT
m-191	129	38	φ	φ	PROPN
m-191	129	39	(	(	PUNCT
m-191	129	40	µ	µ	NOUN
m-191	129	41	)	)	PUNCT
m-191	129	42	=	=	SYM
m-191	129	43	lp	lp	PROPN
m-191	129	44	(	(	PUNCT
m-191	129	45	rn	rn	NOUN
m-191	129	46	)	)	PUNCT
m-191	129	47	.	.	PUNCT
m-191	130	1	bibliography	bibliography	NOUN
m-191	130	2	adams	adams	PROPN
m-191	130	3	,	,	PUNCT
m-191	130	4	d.	d.	PROPN
m-191	130	5	r.	r.	PROPN
m-191	130	6	dan	dan	PROPN
m-191	130	7	l.	l.	PROPN
m-191	130	8	i.	i.	PROPN
m-191	130	9	hedberg	hedberg	PROPN
m-191	130	10	,	,	PUNCT
m-191	130	11	(	(	PUNCT
m-191	130	12	1975	1975	NUM
m-191	130	13	)	)	PUNCT
m-191	130	14	,	,	PUNCT
m-191	130	15	”	"	PUNCT
m-191	130	16	a	a	DET
m-191	130	17	note	note	NOUN
m-191	130	18	on	on	ADP
m-191	130	19	riesz	riesz	PROPN
m-191	130	20	potentials	potential	NOUN
m-191	130	21	”	"	PUNCT
m-191	130	22	,	,	PUNCT
m-191	130	23	duke	duke	PROPN
m-191	130	24	math	math	PROPN
m-191	130	25	.	.	PUNCT
m-191	131	1	chiarenza	chiarenza	PROPN
m-191	131	2	,	,	PUNCT
m-191	131	3	f	f	PROPN
m-191	131	4	dan	dan	PROPN
m-191	131	5	m.	m.	PROPN
m-191	131	6	frasca	frasca	PROPN
m-191	131	7	,	,	PUNCT
m-191	131	8	(	(	PUNCT
m-191	131	9	1987	1987	NUM
m-191	131	10	)	)	PUNCT
m-191	131	11	,	,	PUNCT
m-191	131	12	”	"	PUNCT
m-191	131	13	morrey	morrey	NOUN
m-191	131	14	space	space	NOUN
m-191	131	15	and	and	CCONJ
m-191	131	16	hardylittlewood	hardylittlewood	NOUN
m-191	131	17	maximal	maximal	ADJ
m-191	131	18	function	function	NOUN
m-191	131	19	”	"	PUNCT
m-191	131	20	,	,	PUNCT
m-191	131	21	rend	rend	VERB
m-191	131	22	.	.	PUNCT
m-191	132	1	mat	mat	NOUN
m-191	132	2	.	.	NOUN
m-191	132	3	7	7	NUM
m-191	132	4	,	,	PUNCT
m-191	132	5	273	273	NUM
m-191	132	6	-	-	SYM
m-191	132	7	279	279	NUM
m-191	132	8	.	.	PUNCT
m-191	133	1	eridani	eridani	X
m-191	133	2	,	,	PUNCT
m-191	133	3	(	(	PUNCT
m-191	133	4	2002	2002	NUM
m-191	133	5	)	)	PUNCT
m-191	133	6	,	,	PUNCT
m-191	133	7	”	"	PUNCT
m-191	133	8	on	on	ADP
m-191	133	9	the	the	DET
m-191	133	10	boundedness	boundedness	NOUN
m-191	133	11	of	of	ADP
m-191	133	12	generalized	generalized	ADJ
m-191	133	13	fractional	fractional	ADJ
m-191	133	14	integral	integral	ADJ
m-191	133	15	on	on	ADP
m-191	133	16	generalized	generalize	VERB
m-191	133	17	morrey	morrey	NOUN
m-191	133	18	spaces	space	NOUN
m-191	133	19	”	"	PUNCT
m-191	133	20	,	,	PUNCT
m-191	133	21	tamkang	tamkang	PROPN
m-191	133	22	j.	j.	PROPN
m-191	133	23	math	math	PROPN
m-191	133	24	.	.	PUNCT
m-191	134	1	33	33	NUM
m-191	134	2	,	,	PUNCT
m-191	134	3	335	335	NUM
m-191	134	4	-	-	SYM
m-191	134	5	340	340	NUM
m-191	134	6	.	.	PUNCT
m-191	135	1	h.	h.	PROPN
m-191	135	2	gunawan	gunawan	PROPN
m-191	135	3	dan	dan	PROPN
m-191	135	4	e.	e.	PROPN
m-191	135	5	nakai	nakai	PROPN
m-191	135	6	,	,	PUNCT
m-191	135	7	(	(	PUNCT
m-191	135	8	2004	2004	NUM
m-191	135	9	)	)	PUNCT
m-191	135	10	,	,	PUNCT
m-191	135	11	”	"	PUNCT
m-191	135	12	on	on	ADP
m-191	135	13	generalized	generalized	ADJ
m-191	135	14	fractional	fractional	ADJ
m-191	135	15	integral	integral	ADJ
m-191	135	16	operators	operator	NOUN
m-191	135	17	”	"	PUNCT
m-191	135	18	,	,	PUNCT
m-191	135	19	sci	sci	PROPN
m-191	135	20	.	.	PROPN
m-191	135	21	math	math	PROPN
m-191	135	22	.	.	PUNCT
m-191	136	1	jpn	jpn	PROPN
m-191	136	2	.	.	PROPN
m-191	136	3	60	60	NUM
m-191	136	4	,	,	PUNCT
m-191	136	5	539	539	NUM
m-191	136	6	-	-	SYM
m-191	136	7	550	550	NUM
m-191	136	8	.	.	PUNCT
m-191	137	1	eridani	eridani	NOUN
m-191	137	2	,	,	PUNCT
m-191	137	3	h.gunawan	h.gunawan	PROPN
m-191	137	4	,	,	PUNCT
m-191	137	5	(	(	PUNCT
m-191	137	6	2006	2006	NUM
m-191	137	7	)	)	PUNCT
m-191	137	8	,	,	PUNCT
m-191	137	9	”	"	PUNCT
m-191	137	10	fractional	fractional	ADJ
m-191	137	11	integral	integral	ADJ
m-191	137	12	and	and	CCONJ
m-191	137	13	generalized	generalized	ADJ
m-191	137	14	olsen	olsen	NOUN
m-191	137	15	inequalities	inequality	NOUN
m-191	137	16	”	"	PUNCT
m-191	137	17	,	,	PUNCT
m-191	137	18	itb	itb	NOUN
m-191	137	19	research	research	NOUN
m-191	137	20	grant	grant	NOUN
m-191	137	21	.	.	PUNCT
m-191	138	1	no	no	INTJ
m-191	138	2	.	.	NOUN
m-191	138	3	0004/	0004/	NUM
m-191	139	1	k01.03.2/	k01.03.2/	INTJ
m-191	139	2	pl	pl	PROPN
m-191	139	3	2.1.5/	2.1.5/	PROPN
m-191	139	4	i.	i.	PROPN
m-191	139	5	thus	thus	ADV
m-191	139	6	,	,	PUNCT
m-191	139	7	the	the	DET
m-191	139	8	boundedness	boundedness	NOUN
m-191	139	9	of	of	ADP
m-191	139	10	the	the	DET
m-191	139	11	fractional	fractional	ADJ
m-191	139	12	integral	integral	ADJ
m-191	139	13	operators	operator	NOUN
m-191	139	14	that	that	PRON
m-191	139	15	are	be	AUX
m-191	139	16	generally	generally	ADV
m-191	139	17	formulated	formulate	VERB
m-191	139	18	in	in	ADP
m-191	139	19	the	the	DET
m-191	139	20	morrey	morrey	PROPN
m-191	139	21	space	space	NOUN
m-191	139	22	are	be	AUX
m-191	139	23	not	not	PART
m-191	139	24	homogeneous	homogeneous	ADJ
m-191	139	25	resulting	result	VERB
m-191	139	26	in	in	ADP
m-191	139	27	the	the	DET
m-191	139	28	boundedness	boundedness	NOUN
m-191	139	29	of	of	ADP
m-191	139	30	fractional	fractional	ADJ
m-191	139	31	integral	integral	ADJ
m-191	139	32	operators	operator	NOUN
m-191	139	33	dition	dition	NOUN
m-191	139	34	,	,	PUNCT
m-191	139	35	if	if	SCONJ
m-191	139	36	dµ	dµ	ADV
m-191	139	37	=	=	PUNCT
m-191	139	38	dx	dx	PROPN
m-191	139	39	then	then	ADV
m-191	139	40	it	it	PRON
m-191	139	41	results	result	VERB
m-191	139	42	in	in	ADP
m-191	139	43	the	the	DET
m-191	139	44	limitation	limitation	NOUN
m-191	139	45	of	of	ADP
m-191	139	46	the	the	DET
m-191	139	47	fractional	fractional	ADJ
m-191	139	48	integral	integral	ADJ
m-191	139	49	operator	operator	NOUN
m-191	139	50	iα	iα	NOUN
m-191	139	51	in	in	ADP
m-191	139	52	the	the	DET
m-191	139	53	morrey	morrey	PROPN
m-191	139	54	space	space	NOUN
m-191	139	55	.	.	PUNCT
m-191	140	1	next	next	ADV
m-191	140	2	,	,	PUNCT
m-191	140	3	with	with	ADP
m-191	140	4	the	the	DET
m-191	140	5	then	then	ADV
m-191	140	6	lp	lp	NOUN
m-191	140	7	,	,	PUNCT
m-191	140	8	φ	φ	PROPN
m-191	140	9	(	(	PUNCT
m-191	140	10	µ	µ	NOUN
m-191	140	11	)	)	PUNCT
m-191	140	12	=	=	SYM
m-191	140	13	lp	lp	PROPN
m-191	140	14	(	(	PUNCT
m-191	140	15	µ	µ	NOUN
m-191	140	16	)	)	PUNCT
m-191	140	17	,	,	PUNCT
m-191	140	18	whereas	whereas	SCONJ
m-191	140	19	if	if	SCONJ
m-191	140	20	dµ	dµ	PRON
m-191	140	21	=	=	SYM
m-191	140	22	dx	dx	PROPN
m-191	140	23	,	,	PUNCT
m-191	140	24	for	for	ADP
m-191	140	25	lp	lp	PROPN
m-191	140	26	,	,	PUNCT
m-191	140	27	φ	φ	PROPN
m-191	140	28	(	(	PUNCT
m-191	140	29	µ	µ	NOUN
m-191	140	30	)	)	PUNCT
m-191	140	31	=	=	SYM
m-191	140	32	lp	lp	NOUN
m-191	140	33	,	,	PUNCT
m-191	140	34	λ	λ	PROPN
m-191	140	35	(	(	PUNCT
m-191	140	36	rn	rn	NOUN
m-191	140	37	)	)	PUNCT
m-191	140	38	and	and	CCONJ
m-191	140	39	for	for	ADP
m-191	140	40	lp	lp	PROPN
m-191	140	41	,	,	PUNCT
m-191	140	42	φ	φ	PROPN
m-191	140	43	(	(	PUNCT
m-191	140	44	µ	µ	NOUN
m-191	140	45	)	)	PUNCT
m-191	140	46	=	=	SYM
m-191	140	47	lp	lp	PROPN
m-191	140	48	(	(	PUNCT
m-191	140	49	rn	rn	NOUN
m-191	140	50	)	)	PUNCT
m-191	140	51	.	.	PUNCT
m-191	141	1	adams	adams	PROPN
m-191	141	2	,	,	PUNCT
m-191	141	3	d.	d.	PROPN
m-191	141	4	r.	r.	PROPN
m-191	141	5	dan	dan	PROPN
m-191	141	6	l.	l.	PROPN
m-191	141	7	i.	i.	PROPN
m-191	141	8	hedberg	hedberg	PROPN
m-191	141	9	,	,	PUNCT
m-191	141	10	(	(	PUNCT
m-191	141	11	1975	1975	NUM
m-191	141	12	)	)	PUNCT
m-191	141	13	,	,	PUNCT
m-191	141	14	”	"	PUNCT
m-191	141	15	a	a	DET
m-191	141	16	note	note	NOUN
m-191	141	17	on	on	ADP
m-191	141	18	riesz	riesz	PROPN
m-191	141	19	potentials	potential	NOUN
m-191	141	20	”	"	PUNCT
m-191	141	21	,	,	PUNCT
m-191	141	22	duke	duke	PROPN
m-191	141	23	math	math	PROPN
m-191	141	24	.	.	PUNCT
m-191	142	1	littlewood	littlewood	PROPN
m-191	142	2	maximal	maximal	PROPN
m-191	142	3	eridani	eridani	X
m-191	142	4	,	,	PUNCT
m-191	142	5	(	(	PUNCT
m-191	142	6	2002	2002	NUM
m-191	142	7	)	)	PUNCT
m-191	142	8	,	,	PUNCT
m-191	142	9	”	"	PUNCT
m-191	142	10	on	on	ADP
m-191	142	11	the	the	DET
m-191	142	12	boundedness	boundedness	NOUN
m-191	142	13	of	of	ADP
m-191	142	14	generalized	generalized	ADJ
m-191	142	15	fractional	fractional	ADJ
m-191	142	16	integral	integral	ADJ
m-191	142	17	on	on	ADP
m-191	142	18	generalized	generalized	ADJ
m-191	142	19	h.	h.	PROPN
m-191	142	20	gunawan	gunawan	PROPN
m-191	142	21	dan	dan	PROPN
m-191	142	22	e.	e.	PROPN
m-191	142	23	nakai	nakai	PROPN
m-191	142	24	,	,	PUNCT
m-191	142	25	(	(	PUNCT
m-191	142	26	2004	2004	NUM
m-191	142	27	)	)	PUNCT
m-191	142	28	,	,	PUNCT
m-191	142	29	”	"	PUNCT
m-191	142	30	on	on	ADP
m-191	142	31	generalized	generalized	ADJ
m-191	142	32	fractional	fractional	ADJ
m-191	142	33	integral	integral	ADJ
m-191	142	34	operators	operator	NOUN
m-191	142	35	”	"	PUNCT
m-191	142	36	,	,	PUNCT
m-191	142	37	eridani	eridani	X
m-191	142	38	,	,	PUNCT
m-191	142	39	h.gunawan	h.gunawan	PROPN
m-191	142	40	,	,	PUNCT
m-191	142	41	(	(	PUNCT
m-191	142	42	2006	2006	NUM
m-191	142	43	)	)	PUNCT
m-191	142	44	,	,	PUNCT
m-191	142	45	”	"	PUNCT
m-191	142	46	fractional	fractional	ADJ
m-191	142	47	integral	integral	ADJ
m-191	142	48	and	and	CCONJ
m-191	142	49	generalized	generalized	ADJ
m-191	142	50	olsen	olsen	NOUN
m-191	142	51	inequalities	inequality	NOUN
m-191	142	52	”	"	PUNCT
m-191	142	53	,	,	PUNCT
m-191	142	54	ijointernational	ijointernational	ADJ
m-191	142	55	journal	journal	NOUN
m-191	142	56	of	of	ADP
m-191	142	57	mathematics	mathematics	PROPN
m-191	142	58	(	(	PUNCT
m-191	142	59	issn	issn	PROPN
m-191	142	60	:	:	PUNCT
m-191	142	61	2805	2805	NUM
m-191	142	62	-	-	PUNCT
m-191	142	63	413x	413x	PROPN
m-191	142	64	)	)	PUNCT
m-191	142	65	volume	volume	NOUN
m-191	142	66	02	02	NUM
m-191	142	67	|issue	|issue	NOUN
m-191	142	68	07	07	NUM
m-191	143	1	|	|	CCONJ
m-191	143	2	july	july	PROPN
m-191	143	3	2019	2019	NUM
m-191	143	4	www.ijojournals.com	www.ijojournals.com	X
m-191	143	5	8	8	NUM
m-191	143	6	[	[	SYM
m-191	143	7	6	6	NUM
m-191	143	8	]	]	X
m-191	143	9	garcia	garcia	PROPN
m-191	143	10	-	-	PUNCT
m-191	143	11	cuerva	cuerva	PROPN
m-191	143	12	,	,	PUNCT
m-191	143	13	j	j	PROPN
m-191	143	14	dan	dan	PROPN
m-191	143	15	j.	j.	PROPN
m-191	143	16	m	m	PROPN
m-191	143	17	.	.	PUNCT
m-191	144	1	martell	martell	PROPN
m-191	144	2	,	,	PUNCT
m-191	144	3	(	(	PUNCT
m-191	144	4	2000	2000	NUM
m-191	144	5	)	)	PUNCT
m-191	144	6	,	,	PUNCT
m-191	144	7	”	"	PUNCT
m-191	144	8	two	two	NUM
m-191	144	9	-	-	PUNCT
m-191	144	10	weight	weight	NOUN
m-191	144	11	norm	norm	NOUN
m-191	144	12	inequalities	inequality	NOUN
m-191	144	13	for	for	ADP
m-191	144	14	maximal	maximal	ADJ
m-191	144	15	operators	operator	NOUN
m-191	144	16	and	and	CCONJ
m-191	144	17	fractional	fractional	ADJ
m-191	144	18	integrals	integral	NOUN
m-191	144	19	on	on	ADP
m-191	144	20	non	non	ADJ
m-191	144	21	-	-	ADJ
m-191	144	22	homogeneous	homogeneous	ADJ
m-191	144	23	space	space	NOUN
m-191	144	24	”	"	PUNCT
m-191	144	25	,	,	PUNCT
m-191	144	26	departamento	departamento	PROPN
m-191	144	27	de	de	PROPN
m-191	144	28	matematicas	matematicas	PROPN
m-191	144	29	,	,	PUNCT
m-191	144	30	c	c	PROPN
m-191	144	31	-	-	PUNCT
m-191	144	32	xv	xv	PROPN
m-191	144	33	universidad	universidad	PROPN
m-191	144	34	autonoma	autonoma	PROPN
m-191	144	35	de	de	PROPN
m-191	144	36	madrid	madrid	PROPN
m-191	144	37	28049	28049	NUM
m-191	144	38	madrid	madrid	PROPN
m-191	144	39	,	,	PUNCT
m-191	144	40	spain	spain	PROPN
m-191	144	41	.	.	PUNCT
m-191	145	1	[	[	X
m-191	145	2	7	7	X
m-191	145	3	]	]	X
m-191	145	4	gunawan	gunawan	X
m-191	145	5	,	,	PUNCT
m-191	145	6	g.	g.	PROPN
m-191	145	7	,	,	PUNCT
m-191	145	8	(	(	PUNCT
m-191	145	9	2006	2006	NUM
m-191	145	10	)	)	PUNCT
m-191	145	11	,	,	PUNCT
m-191	145	12	”	"	PUNCT
m-191	145	13	boundness	boundness	NOUN
m-191	145	14	of	of	ADP
m-191	145	15	fractional	fractional	ADJ
m-191	145	16	integral	integral	ADJ
m-191	145	17	operator	operator	NOUN
m-191	145	18	in	in	ADP
m-191	145	19	lebesgue	lebesgue	ADJ
m-191	145	20	space	space	NOUN
m-191	145	21	and	and	CCONJ
m-191	145	22	morrey	morrey	PROPN
m-191	145	23	space	space	NOUN
m-191	145	24	”	"	PUNCT
m-191	145	25	,	,	PUNCT
m-191	145	26	penelitian	penelitian	NOUN
m-191	145	27	program	program	NOUN
m-191	145	28	magister	magister	NOUN
m-191	145	29	,	,	PUNCT
m-191	145	30	institut	institut	PROPN
m-191	145	31	teknologi	teknologi	PROPN
m-191	145	32	bandung	bandung	PROPN
m-191	145	33	.	.	PUNCT
m-191	146	1	[	[	X
m-191	146	2	8	8	NUM
m-191	146	3	]	]	X
m-191	146	4	gunawan	gunawan	X
m-191	146	5	,	,	PUNCT
m-191	146	6	h	h	NOUN
m-191	146	7	,	,	PUNCT
m-191	146	8	(	(	PUNCT
m-191	146	9	2000	2000	NUM
m-191	146	10	)	)	PUNCT
m-191	146	11	,	,	PUNCT
m-191	146	12	”	"	PUNCT
m-191	146	13	generalized	generalize	VERB
m-191	146	14	fractional	fractional	ADJ
m-191	146	15	integral	integral	ADJ
m-191	146	16	operators	operator	NOUN
m-191	146	17	and	and	CCONJ
m-191	146	18	their	their	PRON
m-191	146	19	modified	modified	ADJ
m-191	146	20	versions	version	NOUN
m-191	146	21	”	"	PUNCT
m-191	146	22	,	,	PUNCT
m-191	146	23	department	department	NOUN
m-191	146	24	of	of	ADP
m-191	146	25	mathematics	mathematics	PROPN
m-191	146	26	,	,	PUNCT
m-191	146	27	bandung	bandung	PROPN
m-191	146	28	institute	institute	PROPN
m-191	146	29	of	of	ADP
m-191	146	30	technology	technology	PROPN
m-191	146	31	,	,	PUNCT
m-191	146	32	bandung	bandung	PROPN
m-191	146	33	.	.	PUNCT
m-191	147	1	[	[	X
m-191	147	2	9	9	NUM
m-191	147	3	]	]	X
m-191	147	4	gunawan	gunawan	X
m-191	147	5	,	,	PUNCT
m-191	147	6	h	h	NOUN
m-191	147	7	,	,	PUNCT
m-191	147	8	(	(	PUNCT
m-191	147	9	2003	2003	NUM
m-191	147	10	)	)	PUNCT
m-191	147	11	,	,	PUNCT
m-191	147	12	”	"	PUNCT
m-191	147	13	a	a	DET
m-191	147	14	note	note	NOUN
m-191	147	15	on	on	ADP
m-191	147	16	the	the	DET
m-191	147	17	generalized	generalize	VERB
m-191	147	18	fractional	fractional	ADJ
m-191	147	19	integral	integral	ADJ
m-191	147	20	operators	operator	NOUN
m-191	147	21	”	"	PUNCT
m-191	147	22	,	,	PUNCT
m-191	147	23	j.	j.	PROPN
m-191	147	24	indonesia	indonesia	PROPN
m-191	147	25	.	.	PUNCT
m-191	147	26	math	math	PROPN
m-191	147	27	.	.	PUNCT
m-191	148	1	soc	soc	PROPN
m-191	148	2	.	.	PUNCT
m-191	149	1	9	9	NUM
m-191	149	2	,	,	PUNCT
m-191	149	3	39	39	NUM
m-191	149	4	-	-	SYM
m-191	149	5	43	43	NUM
m-191	149	6	.	.	PUNCT
m-191	150	1	[	[	X
m-191	150	2	10	10	NUM
m-191	150	3	]	]	X
m-191	150	4	gunawan	gunawan	PROPN
m-191	150	5	,	,	PUNCT
m-191	150	6	h.	h.	PROPN
m-191	150	7	,	,	PUNCT
m-191	150	8	y.	y.	PROPN
m-191	150	9	sawano	sawano	PROPN
m-191	150	10	dan	dan	PROPN
m-191	150	11	i.	i.	PROPN
m-191	150	12	sihwaningrum	sihwaningrum	PROPN
m-191	150	13	,	,	PUNCT
m-191	150	14	(	(	PUNCT
m-191	150	15	2009	2009	NUM
m-191	150	16	)	)	PUNCT
m-191	150	17	,	,	PUNCT
m-191	150	18	”	"	PUNCT
m-191	150	19	fractional	fractional	ADJ
m-191	150	20	integral	integral	ADJ
m-191	150	21	operators	operator	NOUN
m-191	150	22	in	in	ADP
m-191	150	23	non	non	ADJ
m-191	150	24	homogeneous	homogeneous	ADJ
m-191	150	25	spaces	space	NOUN
m-191	150	26	”	"	PUNCT
m-191	150	27	,	,	PUNCT
m-191	150	28	bull	bull	NOUN
m-191	150	29	,	,	PUNCT
m-191	150	30	austral	austral	ADJ
m-191	150	31	.	.	PUNCT
m-191	151	1	math	math	NOUN
m-191	151	2	.	.	PUNCT
m-191	152	1	soc	soc	PROPN
m-191	152	2	.	.	PUNCT
m-191	153	1	80	80	NUM
m-191	153	2	,	,	PUNCT
m-191	153	3	324	324	NUM
m-191	153	4	-	-	SYM
m-191	153	5	334	334	NUM
m-191	153	6	.	.	PUNCT
m-191	154	1	[	[	X
m-191	154	2	11	11	NUM
m-191	154	3	]	]	X
m-191	154	4	hardy	hardy	ADJ
m-191	154	5	,	,	PUNCT
m-191	154	6	g.	g.	PROPN
m-191	154	7	h	h	PROPN
m-191	154	8	dan	dan	PROPN
m-191	154	9	j.e	j.e	PROPN
m-191	154	10	.	.	PROPN
m-191	154	11	littlewood	littlewood	PROPN
m-191	154	12	,	,	PUNCT
m-191	154	13	(	(	PUNCT
m-191	154	14	1927	1927	NUM
m-191	154	15	)	)	PUNCT
m-191	154	16	,	,	PUNCT
m-191	154	17	”	"	PUNCT
m-191	154	18	some	some	DET
m-191	154	19	properties	property	NOUN
m-191	154	20	of	of	ADP
m-191	154	21	fractional	fractional	ADJ
m-191	154	22	integral	integral	ADJ
m-191	154	23	i	i	NOUN
m-191	154	24	”	"	PUNCT
m-191	154	25	,	,	PUNCT
m-191	154	26	math	math	NOUN
m-191	154	27	.	.	PUNCT
m-191	155	1	zeith	zeith	PROPN
m-191	155	2	.	.	PROPN
m-191	156	1	27	27	NUM
m-191	156	2	,	,	PUNCT
m-191	156	3	565	565	NUM
m-191	156	4	-	-	SYM
m-191	156	5	606	606	NUM
m-191	156	6	.	.	PUNCT
m-191	157	1	[	[	X
m-191	157	2	12	12	NUM
m-191	157	3	]	]	X
m-191	157	4	lib	lib	PROPN
m-191	157	5	,	,	PUNCT
m-191	157	6	e.	e.	PROPN
m-191	157	7	h	h	PROPN
m-191	157	8	dan	dan	PROPN
m-191	157	9	m.	m.	PROPN
m-191	157	10	loss	loss	PROPN
m-191	157	11	,	,	PUNCT
m-191	157	12	(	(	PUNCT
m-191	157	13	1997	1997	NUM
m-191	157	14	)	)	PUNCT
m-191	157	15	,	,	PUNCT
m-191	157	16	”	"	PUNCT
m-191	157	17	analysis	analysis	NOUN
m-191	157	18	”	"	PUNCT
m-191	157	19	,	,	PUNCT
m-191	157	20	american	american	PROPN
m-191	157	21	mathematical	mathematical	ADJ
m-191	157	22	society	society	NOUN
m-191	157	23	.	.	PUNCT
m-191	158	1	[	[	X
m-191	158	2	13	13	NUM
m-191	158	3	]	]	SYM
m-191	158	4	morrey	morrey	PROPN
m-191	158	5	,	,	PUNCT
m-191	158	6	c.	c.	PROPN
m-191	158	7	b.	b.	PROPN
m-191	158	8	,	,	PUNCT
m-191	158	9	(	(	PUNCT
m-191	158	10	1938	1938	NUM
m-191	158	11	)	)	PUNCT
m-191	158	12	,	,	PUNCT
m-191	158	13	”	"	PUNCT
m-191	158	14	on	on	ADP
m-191	158	15	the	the	DET
m-191	158	16	solutions	solution	NOUN
m-191	158	17	of	of	ADP
m-191	158	18	quasi	quasi	ADJ
m-191	158	19	-	-	ADJ
m-191	158	20	linear	linear	ADJ
m-191	158	21	elliptic	elliptic	ADJ
m-191	158	22	differential	differential	ADJ
m-191	158	23	equations	equation	NOUN
m-191	158	24	”	"	PUNCT
m-191	158	25	,	,	PUNCT
m-191	158	26	trans	trans	PROPN
m-191	158	27	.	.	PROPN
m-191	158	28	amer	amer	PROPN
m-191	158	29	.	.	PROPN
m-191	158	30	math	math	PROPN
m-191	158	31	,	,	PUNCT
m-191	158	32	soc	soc	NOUN
m-191	158	33	.	.	PUNCT
m-191	159	1	43	43	NUM
m-191	159	2	,	,	PUNCT
m-191	159	3	126	126	NUM
m-191	159	4	-	-	SYM
m-191	159	5	166	166	NUM
m-191	159	6	.	.	PUNCT
m-191	160	1	[	[	X
m-191	160	2	14	14	NUM
m-191	160	3	]	]	X
m-191	160	4	nakai	nakai	PROPN
m-191	160	5	,	,	PUNCT
m-191	160	6	e.	e.	PROPN
m-191	160	7	,	,	PUNCT
m-191	160	8	(	(	PUNCT
m-191	160	9	1994	1994	NUM
m-191	160	10	)	)	PUNCT
m-191	160	11	,	,	PUNCT
m-191	160	12	”	"	PUNCT
m-191	160	13	hardy	hardy	ADJ
m-191	160	14	-	-	PUNCT
m-191	160	15	littelwood	littelwood	NOUN
m-191	160	16	maximal	maximal	ADJ
m-191	160	17	operator	operator	NOUN
m-191	160	18	,	,	PUNCT
m-191	160	19	singular	singular	ADJ
m-191	160	20	integral	integral	ADJ
m-191	160	21	operators	operator	NOUN
m-191	160	22	and	and	CCONJ
m-191	160	23	the	the	DET
m-191	160	24	riesz	riesz	NOUN
m-191	160	25	potentials	potential	VERB
m-191	160	26	on	on	ADP
m-191	160	27	generalized	generalized	ADJ
m-191	160	28	morrey	morrey	PROPN
m-191	160	29	space	space	NOUN
m-191	160	30	”	"	PUNCT
m-191	160	31	,	,	PUNCT
m-191	160	32	math	math	NOUN
m-191	160	33	,	,	PUNCT
m-191	160	34	nachr	nachr	PROPN
m-191	160	35	.	.	PUNCT
m-191	161	1	166	166	NUM
m-191	161	2	,	,	PUNCT
m-191	161	3	95	95	NUM
m-191	161	4	-	-	SYM
m-191	161	5	103	103	NUM
m-191	161	6	.	.	PUNCT
m-191	162	1	[	[	X
m-191	162	2	15	15	NUM
m-191	162	3	]	]	X
m-191	162	4	nakai	nakai	PROPN
m-191	162	5	,	,	PUNCT
m-191	162	6	e.	e.	PROPN
m-191	162	7	,	,	PUNCT
m-191	162	8	(	(	PUNCT
m-191	162	9	2001	2001	NUM
m-191	162	10	)	)	PUNCT
m-191	162	11	,	,	PUNCT
m-191	162	12	”	"	PUNCT
m-191	162	13	on	on	ADP
m-191	162	14	generalized	generalized	ADJ
m-191	162	15	fractional	fractional	ADJ
m-191	162	16	integrals	integral	NOUN
m-191	162	17	”	"	PUNCT
m-191	162	18	,	,	PUNCT
m-191	162	19	taiwanese	taiwanese	PROPN
m-191	162	20	j.	j.	PROPN
m-191	162	21	math	math	PROPN
m-191	162	22	.	.	PUNCT
m-191	162	23	5	5	NUM
m-191	162	24	,	,	PUNCT
m-191	162	25	587	587	NUM
m-191	162	26	602	602	NUM
m-191	162	27	.	.	PUNCT
m-191	163	1	[	[	X
m-191	163	2	16	16	NUM
m-191	163	3	]	]	X
m-191	163	4	nakai	nakai	PROPN
m-191	163	5	,	,	PUNCT
m-191	163	6	e.	e.	PROPN
m-191	163	7	,	,	PUNCT
m-191	163	8	(	(	PUNCT
m-191	163	9	2007	2007	NUM
m-191	163	10	)	)	PUNCT
m-191	163	11	,	,	PUNCT
m-191	163	12	”	"	PUNCT
m-191	163	13	recent	recent	ADJ
m-191	163	14	topics	topic	NOUN
m-191	163	15	of	of	ADP
m-191	163	16	fractional	fractional	ADJ
m-191	163	17	integrals	integral	NOUN
m-191	163	18	”	"	PUNCT
m-191	163	19	,	,	PUNCT
m-191	163	20	sugaku	sugaku	PROPN
m-191	163	21	exposition	exposition	NOUN
m-191	163	22	,	,	PUNCT
m-191	163	23	20	20	NUM
m-191	163	24	.	.	PUNCT
m-191	164	1	[	[	X
m-191	164	2	17	17	NUM
m-191	164	3	]	]	X
m-191	164	4	nazarov	nazarov	NOUN
m-191	164	5	,	,	PUNCT
m-191	164	6	f	f	PROPN
m-191	164	7	,	,	PUNCT
m-191	164	8	s.	s.	PROPN
m-191	164	9	treil	treil	PROPN
m-191	164	10	dan	dan	PROPN
m-191	164	11	a.	a.	PROPN
m-191	164	12	volberg	volberg	PROPN
m-191	164	13	,	,	PUNCT
m-191	164	14	(	(	PUNCT
m-191	164	15	1997	1997	NUM
m-191	164	16	)	)	PUNCT
m-191	164	17	,	,	PUNCT
m-191	164	18	”	"	PUNCT
m-191	164	19	cauchy	cauchy	ADJ
m-191	164	20	integral	integral	ADJ
m-191	164	21	and	and	CCONJ
m-191	164	22	calderon	calderon	NOUN
m-191	164	23	-	-	PUNCT
m-191	164	24	zygmund	zygmund	NOUN
m-191	164	25	operators	operator	NOUN
m-191	164	26	on	on	ADP
m-191	164	27	non	non	PRON
m-191	164	28	homogeneous	homogeneous	ADJ
m-191	164	29	spaces	space	NOUN
m-191	164	30	”	"	PUNCT
m-191	164	31	,	,	PUNCT
m-191	164	32	internat	internat	PROPN
m-191	164	33	.	.	PUNCT
m-191	164	34	math	math	PROPN
m-191	164	35	.	.	PUNCT
m-191	165	1	notices	notice	NOUN
m-191	165	2	(	(	PUNCT
m-191	165	3	15),703	15),703	NUM
m-191	165	4	-	-	SYM
m-191	165	5	726	726	NUM
m-191	165	6	.	.	PUNCT
m-191	166	1	[	[	X
m-191	166	2	18	18	NUM
m-191	166	3	]	]	SYM
m-191	166	4	nazarov	nazarov	NOUN
m-191	166	5	,	,	PUNCT
m-191	166	6	f	f	PROPN
m-191	166	7	,	,	PUNCT
m-191	166	8	s.	s.	PROPN
m-191	166	9	treil	treil	PROPN
m-191	166	10	dan	dan	PROPN
m-191	166	11	a.	a.	PROPN
m-191	166	12	volberg	volberg	PROPN
m-191	166	13	,	,	PUNCT
m-191	166	14	(	(	PUNCT
m-191	166	15	1998	1998	NUM
m-191	166	16	)	)	PUNCT
m-191	166	17	,	,	PUNCT
m-191	166	18	”	"	PUNCT
m-191	166	19	weak	weak	ADJ
m-191	166	20	type	type	NOUN
m-191	166	21	estimetas	estimeta	NOUN
m-191	166	22	and	and	CCONJ
m-191	166	23	cotlar	cotlar	ADJ
m-191	166	24	inequalities	inequality	NOUN
m-191	166	25	for	for	ADP
m-191	166	26	calderon	calderon	NOUN
m-191	166	27	-	-	PUNCT
m-191	166	28	zygmund	zygmund	NOUN
m-191	166	29	operators	operator	NOUN
m-191	166	30	on	on	ADP
m-191	166	31	non	non	PRON
m-191	166	32	homogeneous	homogeneous	ADJ
m-191	166	33	space	space	NOUN
m-191	166	34	”	"	PUNCT
m-191	166	35	,	,	PUNCT
m-191	166	36	internat	internat	PROPN
m-191	166	37	,	,	PUNCT
m-191	166	38	math.res.notices	math.res.notice	NOUN
m-191	166	39	,	,	PUNCT
m-191	166	40	463487	463487	NUM
m-191	166	41	.	.	PUNCT
m-191	167	1	[	[	X
m-191	167	2	19	19	NUM
m-191	167	3	]	]	X
m-191	167	4	nazarov	nazarov	NOUN
m-191	167	5	,	,	PUNCT
m-191	167	6	f	f	X
m-191	167	7	,	,	PUNCT
m-191	167	8	s.treil	s.treil	PROPN
m-191	167	9	dan	dan	PROPN
m-191	167	10	a.	a.	PROPN
m-191	167	11	volberg	volberg	PROPN
m-191	167	12	,	,	PUNCT
m-191	167	13	(	(	PUNCT
m-191	167	14	2003	2003	NUM
m-191	167	15	)	)	PUNCT
m-191	167	16	,	,	PUNCT
m-191	167	17	”	"	PUNCT
m-191	167	18	the	the	DET
m-191	167	19	tb	tb	NOUN
m-191	167	20	-	-	PUNCT
m-191	167	21	theorem	theorem	NOUN
m-191	167	22	on	on	ADP
m-191	167	23	non	non	PRON
m-191	167	24	homogeneous	homogeneous	ADJ
m-191	167	25	space	space	NOUN
m-191	167	26	”	"	PUNCT
m-191	167	27	,	,	PUNCT
m-191	167	28	acta	acta	PROPN
m-191	167	29	math	math	PROPN
m-191	167	30	.	.	PUNCT
m-191	168	1	190(2),151	190(2),151	NUM
m-191	168	2	-	-	SYM
m-191	168	3	239	239	NUM
m-191	168	4	.	.	PUNCT
m-191	169	1	[	[	X
m-191	169	2	20	20	NUM
m-191	169	3	]	]	PUNCT
m-191	169	4	p.	p.	NOUN
m-191	169	5	s	s	PROPN
m-191	169	6	,	,	PUNCT
m-191	169	7	herry	herry	NOUN
m-191	169	8	,	,	PUNCT
m-191	169	9	(	(	PUNCT
m-191	169	10	2008	2008	NUM
m-191	169	11	)	)	PUNCT
m-191	169	12	,	,	PUNCT
m-191	169	13	”	"	PUNCT
m-191	169	14	keterbatasan	keterbatasan	ADJ
m-191	169	15	operator	operator	NOUN
m-191	169	16	integral	integral	ADJ
m-191	169	17	fraksional	fraksional	ADJ
m-191	169	18	di	di	X
m-191	169	19	ruang	ruang	PROPN
m-191	169	20	lebesgue	lebesgue	PROPN
m-191	169	21	tak	tak	PROPN
m-191	169	22	homogen	homogen	PROPN
m-191	169	23	”	"	PUNCT
m-191	169	24	,	,	PUNCT
m-191	169	25	universitas	universita	NOUN
m-191	169	26	sanata	sanata	ADJ
m-191	169	27	dharma	dharma	NOUN
m-191	169	28	yogyakarta	yogyakarta	PROPN
m-191	169	29	.	.	PUNCT
m-191	170	1	[	[	X
m-191	170	2	21	21	NUM
m-191	170	3	]	]	X
m-191	170	4	sawano	sawano	PROPN
m-191	170	5	,	,	PUNCT
m-191	170	6	y	y	PROPN
m-191	170	7	and	and	CCONJ
m-191	170	8	h.	h.	PROPN
m-191	170	9	tanaka	tanaka	PROPN
m-191	170	10	,	,	PUNCT
m-191	170	11	(	(	PUNCT
m-191	170	12	2006	2006	NUM
m-191	170	13	)	)	PUNCT
m-191	170	14	,	,	PUNCT
m-191	170	15	”	"	PUNCT
m-191	170	16	morrey	morrey	PROPN
m-191	170	17	space	space	NOUN
m-191	170	18	for	for	ADP
m-191	170	19	non	non	ADJ
m-191	170	20	-	-	ADJ
m-191	170	21	doubling	doubling	ADJ
m-191	170	22	measure	measure	NOUN
m-191	170	23	”	"	PUNCT
m-191	170	24	,	,	PUNCT
m-191	170	25	acta	acta	PROPN
m-191	170	26	math	math	PROPN
m-191	170	27	.	.	PUNCT
m-191	171	1	sinica,1	sinica,1	NOUN
m-191	171	2	,	,	PUNCT
m-191	171	3	153	153	NUM
m-191	171	4	-	-	SYM
m-191	171	5	172	172	NUM
m-191	171	6	.	.	PUNCT
m-191	172	1	[	[	X
m-191	172	2	22	22	NUM
m-191	172	3	]	]	X
m-191	172	4	sobolev	sobolev	PROPN
m-191	172	5	,	,	PUNCT
m-191	172	6	s.l	s.l	PROPN
m-191	172	7	.	.	PROPN
m-191	172	8	,	,	PUNCT
m-191	172	9	(	(	PUNCT
m-191	172	10	1938	1938	NUM
m-191	172	11	)	)	PUNCT
m-191	172	12	,	,	PUNCT
m-191	172	13	”	"	PUNCT
m-191	172	14	on	on	ADP
m-191	172	15	a	a	DET
m-191	172	16	theorem	theorem	NOUN
m-191	172	17	in	in	ADP
m-191	172	18	functional	functional	ADJ
m-191	172	19	analysis	analysis	NOUN
m-191	172	20	”	"	PUNCT
m-191	172	21	,	,	PUNCT
m-191	172	22	math	math	NOUN
m-191	172	23	.	.	PUNCT
m-191	173	1	sob	sob	VERB
m-191	173	2	.	.	PUNCT
m-191	174	1	46,471	46,471	NUM
m-191	174	2	-	-	SYM
m-191	174	3	497	497	NUM
m-191	174	4	.	.	PUNCT
m-191	175	1	[	[	X
m-191	175	2	23	23	NUM
m-191	175	3	]	]	X
m-191	175	4	stein	stein	PROPN
m-191	175	5	,	,	PUNCT
m-191	175	6	e.	e.	PROPN
m-191	175	7	m.	m.	PROPN
m-191	175	8	,	,	PUNCT
m-191	175	9	(	(	PUNCT
m-191	175	10	1993	1993	NUM
m-191	175	11	)	)	PUNCT
m-191	175	12	,	,	PUNCT
m-191	175	13	”	"	PUNCT
m-191	175	14	harmonic	harmonic	ADJ
m-191	175	15	analysis	analysis	NOUN
m-191	175	16	:	:	PUNCT
m-191	175	17	real	real	ADJ
m-191	175	18	variable	variable	ADJ
m-191	175	19	methods	method	NOUN
m-191	175	20	,	,	PUNCT
m-191	175	21	orthogonality	orthogonality	NOUN
m-191	175	22	and	and	CCONJ
m-191	175	23	oscilatory	oscilatory	ADJ
m-191	175	24	integrals	integral	NOUN
m-191	175	25	”	"	PUNCT
m-191	175	26	,	,	PUNCT
m-191	175	27	princenton	princenton	PROPN
m-191	175	28	university	university	PROPN
m-191	175	29	university	university	NOUN
m-191	175	30	press	press	NOUN
m-191	175	31	,	,	PUNCT
m-191	175	32	princenton	princenton	NOUN
m-191	175	33	,	,	PUNCT
m-191	175	34	new	new	PROPN
m-191	175	35	jersey	jersey	PROPN
m-191	175	36	.	.	PUNCT
m-191	176	1	ijointernational	ijointernational	ADJ
m-191	176	2	journal	journal	NOUN
m-191	176	3	of	of	ADP
m-191	176	4	mathematics	mathematics	PROPN
m-191	176	5	(	(	PUNCT
m-191	176	6	issn	issn	PROPN
m-191	176	7	:	:	PUNCT
m-191	176	8	2805	2805	NUM
m-191	176	9	-	-	PUNCT
m-191	176	10	413x	413x	PROPN
m-191	176	11	)	)	PUNCT
m-191	176	12	volume	volume	NOUN
m-191	176	13	02	02	NUM
m-191	176	14	|issue	|issue	NOUN
m-191	176	15	07	07	NUM
m-191	177	1	|	|	CCONJ
m-191	177	2	july	july	PROPN
m-191	177	3	2019	2019	NUM
m-191	177	4	www.ijojournals.com	www.ijojournals.com	X
m-191	177	5	9	9	NUM
m-191	177	6	word	word	NOUN
m-191	177	7	bookmarks	bookmark	NOUN
m-191	177	8	_	_	PRON
m-191	177	9	goback	goback	NOUN