Artículo
Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities
Fecha de publicación:
04/2020
Editorial:
Element
Revista:
Mathematical Inequalities & Applications
ISSN:
1331-4343
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this paper we study commutators of a certain class of fractional type integral operators. These operators are given by kernels of the form K(x,y) = k1(x−A1y)k2(x−A2y)...km(x−Amy), where Ai are invertible matrices and each ki satisfies a fractional size condition and generalized fractional Hörmander condition. We obtain weighted Coifman estimates and weighted Lp(wp) - Lq(wq) estimates. We also give a two-weighted strong type estimate for pairs of weights of the form (u,Su) where u is an arbitrary non-negative function and S is a maximal operator depending on the smoothness of the kernel K. For the singular case we also give a two-weighted endpoint estimate.
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Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Ibañez Firnkorn, Gonzalo Hugo; Riveros, Maria Silvina; Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities; Element; Mathematical Inequalities & Applications; 23; 4; 4-2020; 1361-1389
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