Artículo
Weighted inequalities for integral operators on Lebesgue and BMOγ(ω) spaces
Fecha de publicación:
16/01/2019
Editorial:
Universidad de Barcelona
Revista:
Collectanea Mathematica
ISSN:
0010-0757
e-ISSN:
2038-4815
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We characterize the power weights ω for which the fractional type operator Tα , β is bounded from Lp(ωp) into Lq(ωq) for 1 < p< n/ (n- (α+ β)) and 1 / q= 1 / p- (n- (α+ β)) / n. If n/ (n- (α+ β)) ≤ p< n/ (n- (α+ β) - 1) + we prove that Tα , β is bounded from a weighted weak Lp space into a suitable weighted BMOδ space for weights satisfying a doubling condition and a reverse Hölder condition. Also, we prove the boundedness of Tα , β from a weighted local space BMO0γ into a weighted BMOδ space, for weights satisfying a doubling condition.
Palabras clave:
BMO SPACES
,
INTEGRAL OPERATORS
,
LEBESGUE SPACES
,
WEIGHTED INEQUALITIES
Archivos asociados
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Identificadores
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Ferreyra, Elida Vilma; Flores, Guillermo Javier; Weighted inequalities for integral operators on Lebesgue and BMOγ(ω) spaces; Universidad de Barcelona; Collectanea Mathematica; 70; 1; 16-1-2019; 87-105
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