Weighted inequalities for some integral operators with rough kernels

In this paper we study integral operators with kernels K(x, y) = k1(x − A1y)...km(x − Amy), ki(x) = Ωi(x) |x|n/qi where Ωi : Rn → R are homogeneous functions of degree zero, satisfying a size and a Dini condition, Ai are certain invertible matrices, and n q1 + . . . n qm = n − α, 0 ≤ α < n. We...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Riveros, María Silvina, Urciuolo, Marta
Formato: article
Lenguaje:Inglés
Publicado: 2022
Materias:
Fractional Operators
Calderón-Zygmund Operators
BMO
Acceso en línea:http://hdl.handle.net/11086/25595
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-25595
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Fractional Operators
Calderón-Zygmund Operators
BMO
spellingShingle Fractional Operators
Calderón-Zygmund Operators
BMO
Riveros, María Silvina
Urciuolo, Marta
Weighted inequalities for some integral operators with rough kernels
topic_facet Fractional Operators
Calderón-Zygmund Operators
BMO
description In this paper we study integral operators with kernels K(x, y) = k1(x − A1y)...km(x − Amy), ki(x) = Ωi(x) |x|n/qi where Ωi : Rn → R are homogeneous functions of degree zero, satisfying a size and a Dini condition, Ai are certain invertible matrices, and n q1 + . . . n qm = n − α, 0 ≤ α < n. We obtain the appropriate weighted Lp − Lq estimate, the weighted BMO and weak type estimates for certain weights in A(p, q). We also give a Coifman type estimate for these operators.
format article
author Riveros, María Silvina
Urciuolo, Marta
author_facet Riveros, María Silvina
Urciuolo, Marta
author_sort Riveros, María Silvina
title Weighted inequalities for some integral operators with rough kernels
title_short Weighted inequalities for some integral operators with rough kernels
title_full Weighted inequalities for some integral operators with rough kernels
title_fullStr Weighted inequalities for some integral operators with rough kernels
title_full_unstemmed Weighted inequalities for some integral operators with rough kernels
title_sort weighted inequalities for some integral operators with rough kernels
publishDate 2022
url http://hdl.handle.net/11086/25595
work_keys_str_mv AT riverosmariasilvina weightedinequalitiesforsomeintegraloperatorswithroughkernels
AT urciuolomarta weightedinequalitiesforsomeintegraloperatorswithroughkernels
bdutipo_str Repositorios
_version_ 1764820391460601860

Ejemplares similares