id	sid	eid	entity	type
ma-381	1	1	2025	CARDINAL
ma-381	2	1	j. math	PERSON
ma-381	4	1	5 (	CARDINAL
ma-381	4	2	21doi	CARDINAL
ma-381	4	3	10.28924	CARDINAL
ma-381	4	4	dakoury1	GPE
ma-381	4	5	justin feuto2,∗	PERSON
ma-381	4	6	1laboratoire de mathématiques	QUANTITY
ma-381	4	7	ufr mathématiques et informatique	PERSON
ma-381	4	8	université félix houphouët-boigny	ORG
ma-381	4	9	22	CARDINAL
ma-381	4	10	b.p 582 abidjan 22	ORG
ma-381	5	1	côte d’ivoire	ORG
ma-381	6	1	2laboratoire de mathématiques	QUANTITY
ma-381	6	2	ufr mathématiques et informatique	PERSON
ma-381	6	3	université félix houphouët-boigny	ORG
ma-381	6	4	22	CARDINAL
ma-381	6	5	b.p 1194 abidjan 22	LAW
ma-381	7	1	côte d’ivoire	ORG
ma-381	10	1	1	CARDINAL
ma-381	11	1	1.1	CARDINAL
ma-381	12	1	poisson kernel	ORG
ma-381	12	2	1.1).in	CARDINAL
ma-381	12	3	1	CARDINAL
ma-381	12	4	ablé	PERSON
ma-381	13	1	second	ORDINAL
ma-381	13	2	h(p	PRODUCT
ma-381	14	1	14 may 2025	CARDINAL
ma-381	17	1	1	CARDINAL
ma-381	18	1	j. math	PERSON
ma-381	20	1	10.28924	CARDINAL
ma-381	20	2	2a	CARDINAL
ma-381	20	3	k∈zd	PERSON
ma-381	20	4	1	CARDINAL
ma-381	20	5	k ∈ zd	PERSON
ma-381	20	6	qk = k	PERSON
ma-381	21	1	0	CARDINAL
ma-381	21	2	1)d	DATE
ma-381	21	3	h(p	PRODUCT
ma-381	21	4	poisson kernel character-ization	PERSON
ma-381	21	5	1	CARDINAL
ma-381	22	1	one	CARDINAL
ma-381	22	2	3	CARDINAL
ma-381	22	3	first	ORDINAL
ma-381	22	4	first	ORDINAL
ma-381	23	1	caloric cauchy-riemann	PERSON
ma-381	23	2	0	CARDINAL
ma-381	23	3	dependingon	PRODUCT
ma-381	23	4	∈	ORG
ma-381	23	5	1.2	CARDINAL
ma-381	25	1	∈	ORG
ma-381	26	1	0	CARDINAL
ma-381	27	1	u}r>0	GPE
ma-381	28	1	ibrahim	PERSON
ma-381	28	2	0	CARDINAL
ma-381	29	1	1.3	CARDINAL
ma-381	31	1	6	CARDINAL
ma-381	31	2	1 ≤	MONEY
ma-381	33	1	h(p	PRODUCT
ma-381	33	2	4	CARDINAL
ma-381	34	1	‖mf	DATE
ma-381	35	1	j. math	PERSON
ma-381	37	1	10.28924	CARDINAL
ma-381	37	2	3the	CARDINAL
ma-381	38	1	first	ORDINAL
ma-381	39	1	section 3	LAW
ma-381	42	1	〉	CARDINAL
ma-381	42	2	rd	GPE
ma-381	43	1	≈	CARDINAL
ma-381	43	2	two	CARDINAL
ma-381	43	3	a. 2	PERSON
ma-381	44	1	6	CARDINAL
ma-381	44	2	1 ≤	MONEY
ma-381	44	3	1;(2	CARDINAL
ma-381	44	4	two	CARDINAL
ma-381	44	5	rd	ORG
ma-381	45	1	1 ≤	MONEY
ma-381	46	1	m(f	PERSON
ma-381	46	2	m(f	PERSON
ma-381	48	1	∈ rd	ORG
ma-381	49	1	6	CARDINAL
ma-381	49	2	4.2	CARDINAL
ma-381	49	3	1	CARDINAL
ma-381	49	4	8	CARDINAL
ma-381	49	5	11.12	CARDINAL
ma-381	50	1	2.1	CARDINAL
ma-381	51	1	1	CARDINAL
ma-381	53	1	have∥∥∥∥∥∥∥	NORP
ma-381	53	2	 1	DATE
ma-381	53	3	≈ ∥∥∥∥∥∥∥	PERCENT
ma-381	53	4	 1	DATE
ma-381	55	1	j. math	PERSON
ma-381	57	1	10.28924	CARDINAL
ma-381	57	2	4as	CARDINAL
ma-381	57	3	4	CARDINAL
ma-381	58	1	2.2	CARDINAL
ma-381	59	1	1 ≤	MONEY
ma-381	59	2	1	CARDINAL
ma-381	59	3	h(p	PRODUCT
ma-381	60	1	1	CARDINAL
ma-381	60	2	h(p	PRODUCT
ma-381	62	1	5	CARDINAL
ma-381	62	2	two	CARDINAL
ma-381	62	3	〈 f	PERSON
ma-381	62	4	′	CARDINAL
ma-381	62	5	1	CARDINAL
ma-381	62	6	1	CARDINAL
ma-381	63	1	4	CARDINAL
ma-381	64	1	0	CARDINAL
ma-381	65	1	2.1	CARDINAL
ma-381	65	2	1	CARDINAL
ma-381	65	3	poisson kernel	ORG
ma-381	66	1	∈	ORG
ma-381	68	1	∈	ORG
ma-381	69	1	〉	CARDINAL
ma-381	69	2	∈	ORG
ma-381	70	1	poisson kernel p	ORG
ma-381	71	1	2	CARDINAL
ma-381	71	2	2 1	CARDINAL
ma-381	71	3	1 +	DATE
ma-381	71	4	2	CARDINAL
ma-381	71	5	0	CARDINAL
ma-381	72	1	9	CARDINAL
ma-381	75	1	0	CARDINAL
ma-381	76	1	1	CARDINAL
ma-381	76	2	∗	CARDINAL
ma-381	77	1	≈ ‖mf	DATE
ma-381	77	2	2.2	CARDINAL
ma-381	78	1	j. math	PERSON
ma-381	80	1	10.28924	CARDINAL
ma-381	80	2	1.1	CARDINAL
ma-381	81	1	∗	CARDINAL
ma-381	81	2	≈ ‖mf	DATE
ma-381	81	3	2.3	CARDINAL
ma-381	81	4	2.1	CARDINAL
ma-381	81	5	2.2	CARDINAL
ma-381	81	6	m. lemma 2.3	PERSON
ma-381	82	1	∈	ORG
ma-381	84	1	0	CARDINAL
ma-381	85	1	ρ	GPE
ma-381	87	1	〈 f	PERSON
ma-381	87	2	ϕρt(x	ORG
ma-381	87	3	− ρ	PERSON
ma-381	87	4	〉	CARDINAL
ma-381	89	1	ϕρt(x	ORG
ma-381	90	1	2.4	CARDINAL
ma-381	91	1	∈	ORG
ma-381	93	1	∗	CARDINAL
ma-381	94	1	2.4	CARDINAL
ma-381	94	2	2.4	CARDINAL
ma-381	96	1	−	GPE
ma-381	96	2	〈 f	PERSON
ma-381	96	3	pt(z)dz	DATE
ma-381	96	4	stαρ f	ORG
ma-381	97	1	pt(z)dz	DATE
ma-381	97	2	∫ rd	ORG
ma-381	99	1	2.3	CARDINAL
ma-381	99	2	2.4	CARDINAL
ma-381	99	3	u(x	ORG
ma-381	100	1	0	CARDINAL
ma-381	100	2	2.5	CARDINAL
ma-381	100	3	0	CARDINAL
ma-381	101	1	3	CARDINAL
ma-381	101	2	cauchy-riemann	PERSON
ma-381	102	1	2	CARDINAL
ma-381	102	2	0	CARDINAL
ma-381	106	1	∀x	GPE
ma-381	107	1	3.1	CARDINAL
ma-381	107	2	u(x	ORG
ma-381	108	1	∗	CARDINAL
ma-381	109	1	4	CARDINAL
ma-381	109	2	∈	ORG
ma-381	109	3	rd	ORG
ma-381	111	1	j. math	PERSON
ma-381	113	1	10.28924	CARDINAL
ma-381	114	1	3	CARDINAL
ma-381	114	2	2.1	CARDINAL
ma-381	115	1	3.1	CARDINAL
ma-381	118	1	u(x	ORG
ma-381	120	1	≈	CARDINAL
ma-381	122	1	3.1).we	CARDINAL
ma-381	122	2	u(x	ORG
ma-381	124	1	4	CARDINAL
ma-381	124	2	2.3.8	DATE
ma-381	126	1	∈	ORG
ma-381	128	1	3,proposition 2.1	CARDINAL
ma-381	128	2	0	CARDINAL
ma-381	128	3	u(x	ORG
ma-381	130	1	3.2	CARDINAL
ma-381	131	1	1	CARDINAL
ma-381	132	1	0	CARDINAL
ma-381	132	2	stαρ u harmonic on	ORG
ma-381	133	1	∗pt(x),it	ORG
ma-381	133	2	1	CARDINAL
ma-381	135	1	0	CARDINAL
ma-381	135	2	1	CARDINAL
ma-381	136	1	u ∗	ORG
ma-381	136	2	0	CARDINAL
ma-381	139	1	j ∈	PERSON
ma-381	139	2	1	CARDINAL
ma-381	139	3	2	DATE
ma-381	139	4	1	CARDINAL
ma-381	140	1	∂uj ∂xk = ∂uk ∂xj	PERSON
ma-381	140	2	1 ≤	QUANTITY
ma-381	140	3	∂uj ∂xj = 0	PERSON
ma-381	140	4	3.3	CARDINAL
ma-381	140	5	j ∈	PERSON
ma-381	140	6	1	CARDINAL
ma-381	140	7	2	DATE
ma-381	141	1	lim	PERSON
ma-381	141	2	|>ε	GPE
ma-381	141	3	a.e x ∈	PERSON
ma-381	143	1	j. math	PERSON
ma-381	145	1	10.28924	CARDINAL
ma-381	145	2	7	CARDINAL
ma-381	146	1	= γ	PERSON
ma-381	146	2	2 xj	PERCENT
ma-381	147	1	2	CARDINAL
ma-381	147	2	4.19	CARDINAL
ma-381	147	3	ablé	PERSON
ma-381	147	4	h(p	PRODUCT
ma-381	147	5	0	CARDINAL
ma-381	148	1	j = 1	PERSON
ma-381	149	1	assaubay et	PERSON
ma-381	150	1	3.2	CARDINAL
ma-381	150	2	3	CARDINAL
ma-381	150	3	2.3	CARDINAL
ma-381	153	1	∈	ORG
ma-381	154	1	≈	CARDINAL
ma-381	155	1	∈	ORG
ma-381	157	1	∗	CARDINAL
ma-381	157	2	j = 1	PERSON
ma-381	159	1	3.3	CARDINAL
ma-381	162	1	∈	ORG
ma-381	166	1	≈	CARDINAL
ma-381	166	2	3.4	CARDINAL
ma-381	168	1	∈	ORG
ma-381	169	1	3.2assert	CARDINAL
ma-381	169	2	•	CARDINAL
ma-381	169	3	∗	CARDINAL
ma-381	169	4	j ∈	PERSON
ma-381	169	5	1	CARDINAL
ma-381	169	6	•	CARDINAL
ma-381	169	7	≈	CARDINAL
ma-381	169	8	h(p	PRODUCT
ma-381	169	9	3.1	CARDINAL
ma-381	170	1	7→	CARDINAL
ma-381	170	2	3.4	CARDINAL
ma-381	170	3	0	CARDINAL
ma-381	171	1	∈	ORG
ma-381	171	2	0	CARDINAL
ma-381	172	1	h(p	PRODUCT
ma-381	172	2	u)(x	GPE
ma-381	174	1	∗	CARDINAL
ma-381	176	1	3.5)belonging to cr+(rd+1 +	DATE
ma-381	177	1	q.	PERSON
ma-381	177	2	3.6	CARDINAL
ma-381	178	1	j. math	PERSON
ma-381	180	1	10.28924	CARDINAL
ma-381	180	2	8moreover	DATE
ma-381	180	3	u)(x	GPE
ma-381	181	1	2.5	CARDINAL
ma-381	184	1	0	CARDINAL
ma-381	184	2	3.5)yields	CARDINAL
ma-381	184	3	∗	CARDINAL
ma-381	185	1	rj	PERSON
ma-381	186	1	stαρ	GPE
ma-381	187	1	ρ−1	ORG
ma-381	187	2	ρ−1	ORG
ma-381	187	3	ρ−1	ORG
ma-381	188	1	ρ−1	ORG
ma-381	189	1	3.6	CARDINAL
ma-381	190	1	ρ−1t)|‖p	ORG
ma-381	192	1	ρ−1t))|‖p	ORG
ma-381	193	1	h(p	PRODUCT
ma-381	193	2	∗ φ	ORG
ma-381	194	1	sincewe	PERSON
ma-381	194	2	h(p	PRODUCT
ma-381	194	3	3	CARDINAL
ma-381	195	1	3.4	CARDINAL
ma-381	197	1	•	CARDINAL
ma-381	197	2	1	CARDINAL
ma-381	197	3	f ∗ φ ∈	ORG
ma-381	197	4	φ ∈	PERSON
ma-381	198	1	•	CARDINAL
ma-381	198	2	1	CARDINAL
ma-381	198	3	f ∗ φ ∈	ORG
ma-381	198	4	φ ∈	PERSON
ma-381	201	1	1.1	CARDINAL
ma-381	201	2	3	CARDINAL
ma-381	201	3	h(p	PRODUCT
ma-381	201	4	infty	ORG
ma-381	201	5	φ ∈	ORG
ma-381	201	6	nonvanish	NORP
ma-381	203	1	≈	CARDINAL
ma-381	208	1	j. math	PERSON
ma-381	210	1	10.28924	CARDINAL
ma-381	210	2	9	CARDINAL
ma-381	210	3	3.5	CARDINAL
ma-381	212	1	φ ∈	ORG
ma-381	214	1	∗	CARDINAL
ma-381	216	1	3.7	CARDINAL
ma-381	216	2	≈	CARDINAL
ma-381	218	1	∗	CARDINAL
ma-381	219	1	3.8	CARDINAL
ma-381	220	1	3.7	CARDINAL
ma-381	221	1	1	CARDINAL
ma-381	221	2	f ∗ φ ∈	ORG
ma-381	221	3	qµ)αµ	PRODUCT
ma-381	221	4	φ ∈	ORG
ma-381	222	1	3.9	CARDINAL
ma-381	222	2	∈	ORG
ma-381	222	3	0	CARDINAL
ma-381	223	1	1	CARDINAL
ma-381	225	1	∥∥stαρ	ORDINAL
ma-381	228	1	∗	CARDINAL
ma-381	229	1	 ≤ a.	DATE
ma-381	229	2	3	CARDINAL
ma-381	229	3	1.1	CARDINAL
ma-381	230	1	h(p,q)(rd).fix	GPE
ma-381	230	2	0	CARDINAL
ma-381	232	1	≈	CARDINAL
ma-381	232	2	∗	CARDINAL
ma-381	234	1	∗	CARDINAL
ma-381	234	2	3	CARDINAL
ma-381	234	3	1.1	CARDINAL
ma-381	235	1	∗	CARDINAL
ma-381	238	1	3.10	CARDINAL
ma-381	239	1	3.11	CARDINAL
ma-381	240	1	j. math	PERSON
ma-381	242	1	10.28924	CARDINAL
ma-381	242	2	2.3	CARDINAL
ma-381	248	1	0	CARDINAL
ma-381	249	1	3	CARDINAL
ma-381	249	2	1.1	CARDINAL
ma-381	249	3	≈	CARDINAL
ma-381	249	4	∗	CARDINAL
ma-381	251	1	∥∥stαρ	TIME
ma-381	251	2	∗	CARDINAL
ma-381	251	3	3.11	CARDINAL
ma-381	251	4	3.10	CARDINAL
ma-381	251	5	≈	CARDINAL
ma-381	253	1	∗	CARDINAL
ma-381	254	1	φ ∈	ORG
ma-381	256	1	1	CARDINAL
ma-381	256	2	f ∗ φ ∈	ORG
ma-381	256	3	qµ)αµ.in	GPE
ma-381	256	4	∗ ϕ‖∞	CARDINAL
ma-381	256	5	f ∗ φ ∈	ORG
ma-381	256	6	∗	CARDINAL
ma-381	256	7	∗	CARDINAL
ma-381	256	8	1	CARDINAL
ma-381	256	9	∗	CARDINAL
ma-381	256	10	1	CARDINAL
ma-381	257	1	4	CARDINAL
ma-381	257	2	1	CARDINAL
ma-381	258	1	∂uj ∂xj = i∂	PERSON
ma-381	258	2	1/2	CARDINAL
ma-381	258	3	∂uj ∂xk = ∂uk ∂xj for j	PERSON
ma-381	258	4	1	CARDINAL
ma-381	258	5	2	DATE
ma-381	259	1	∂xj = −i∂1/2	ORG
ma-381	259	2	j = 1	PERSON
ma-381	259	3	2	DATE
ma-381	259	4	1/2	CARDINAL
ma-381	259	5	g)(t	GPE
ma-381	260	1	iπ/2 √	PERSON
ma-381	260	2	0	CARDINAL
ma-381	262	1	3	CARDINAL
ma-381	265	1	j. math	PERSON
ma-381	267	1	10.28924	CARDINAL
ma-381	267	2	11	CARDINAL
ma-381	267	3	topologically	ORG
ma-381	267	4	q(rd	ORG
ma-381	269	1	∂2u ∂x2 j	PERSON
ma-381	270	1	0	CARDINAL
ma-381	271	1	∈	ORG
ma-381	272	1	||u||t	PERSON
ma-381	272	2	||u||t	GPE
ma-381	273	1	3	CARDINAL
ma-381	273	2	3.2	CARDINAL
ma-381	273	3	∈	ORG
ma-381	273	4	0	CARDINAL
ma-381	273	5	1	CARDINAL
ma-381	273	6	0	CARDINAL
ma-381	274	1	0	CARDINAL
ma-381	275	1	‖stαr	PRODUCT
ma-381	275	2	q)‖f ‖p	ORG
ma-381	276	1	∈	ORG
ma-381	278	1	sup r>0 ‖stαr	DATE
ma-381	278	2	h(p	PRODUCT
ma-381	279	1	4.1	CARDINAL
ma-381	281	1	2/4	CARDINAL
ma-381	281	2	4πt)d/2	DATE
ma-381	282	1	h(p	PRODUCT
ma-381	282	2	l(f	PERSON
ma-381	284	1	0	CARDINAL
ma-381	284	2	h(p	PRODUCT
ma-381	287	1	∈	ORG
ma-381	287	2	q(rd	ORG
ma-381	287	3	h(p	PRODUCT
ma-381	288	1	3	CARDINAL
ma-381	288	2	1.3	CARDINAL
ma-381	288	3	∈	ORG
ma-381	288	4	‖hp	DATE
ma-381	288	5	q(rd	ORG
ma-381	288	6	4.1	CARDINAL
ma-381	289	1	j. math	PERSON
ma-381	291	1	10.28924	CARDINAL
ma-381	291	2	12for	CARDINAL
ma-381	291	3	0	CARDINAL
ma-381	293	1	l(f	PERSON
ma-381	293	2	4.1	CARDINAL
ma-381	295	1	h(p	PRODUCT
ma-381	296	1	stαr ud	PERSON
ma-381	296	2	0	CARDINAL
ma-381	298	1	3	CARDINAL
ma-381	298	2	3.1	CARDINAL
ma-381	298	3	∈	ORG
ma-381	298	4	q(rd	ORG
ma-381	298	5	∈	ORG
ma-381	299	1	t)‖p	ORG
ma-381	299	2	4.2	CARDINAL
ma-381	300	1	0	CARDINAL
ma-381	300	2	1	CARDINAL
ma-381	300	3	d.we	PERSON
ma-381	301	1	1	CARDINAL
ma-381	303	1	0	CARDINAL
ma-381	304	1	4.2	CARDINAL
ma-381	304	2	‖stαr	DATE
ma-381	304	3	∗	CARDINAL
ma-381	304	4	∗	CARDINAL
ma-381	304	5	0	CARDINAL
ma-381	305	1	1	CARDINAL
ma-381	305	2	ablé	PERSON
ma-381	305	3	j. feuto	PERSON
ma-381	308	1	455	CARDINAL
ma-381	308	2	2017	CARDINAL
ma-381	308	3	1899–1936.[2	CARDINAL
ma-381	308	4	ablé	PERSON
ma-381	308	5	j. feuto	PERSON
ma-381	310	1	45	CARDINAL
ma-381	310	2	2019	DATE
ma-381	310	3	647–686.[3	CARDINAL
ma-381	311	1	j.j. betancor	PERSON
ma-381	311	2	a.j. castro	PERSON
ma-381	311	3	j.c. farina	PERSON
ma-381	311	4	j. math	PERSON
ma-381	313	1	3 (	CARDINAL
ma-381	313	2	697–725.[4	CARDINAL
ma-381	313	3	dakoury	ORG
ma-381	313	4	j. feuto	PERSON
ma-381	314	1	j. 9	PERSON
ma-381	314	2	2022	CARDINAL
ma-381	314	3	dakoury	ORG
ma-381	314	4	j. feuto	PERSON
ma-381	314	5	vietnam	GPE
ma-381	315	1	2024	CARDINAL
ma-381	316	1	ann	PERSON
ma-381	317	1	2014	DATE
ma-381	317	2	21–37.[7	CARDINAL
ma-381	317	3	i.	PERSON
ma-381	317	4	étude d’une classe d’espaces de fonctions	WORK_OF_ART
ma-381	317	5	contenant les espaces de lorentz	ORG
ma-381	317	6	2	CARDINAL
ma-381	317	7	1988	DATE
ma-381	317	8	29–50.[8	CARDINAL
ma-381	317	9	y. sawano	PERSON
ma-381	317	10	t. ullrich	PERSON
ma-381	317	11	d. yang	PERSON
ma-381	317	12	w. yuan	PERSON
ma-381	317	13	generalized besov-type	PERSON
ma-381	319	1	489	CARDINAL
ma-381	319	2	2013	DATE
ma-381	319	3	1–114.[9	CARDINAL
ma-381	321	1	250	CARDINAL
ma-381	321	2	new york	GPE
ma-381	321	3	2009	DATE
ma-381	322	1	1	CARDINAL
ma-381	322	2	2	CARDINAL
ma-381	322	3	3	CARDINAL
ma-381	322	4	cauchy-riemann	PERSON
ma-381	322	5	4	CARDINAL