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...
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2022
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Acceso en línea: | http://hdl.handle.net/11086/25595 |
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id |
I10-R141-11086-25595 |
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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 |