Commutators of certain fractional type operators with hörmander conditions, one–weighted and two–weighted inequalities
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 Hörmand...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/143429 |
| Acceso en línea: | http://hdl.handle.net/11336/143429 |
| Access Level: | acceso abierto |
| Palabra clave: | BMO COMMUTATORS FRACTIONAL OPERATORS HÖRMANDER’S CONDITION OF YOUNG TYPE ONE WEIGHTED INEQUALITIES TWO WEIGHTED INEQUALITIES https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | 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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