Certain fractional type operators with hörmander conditions
In this paper we study fractional type operators with more than one kernel, defined by Tα,mf(x) = ˆRn k1(x − A1y)k2(x − A2y). . . km(x − Amy)f(y) dy, where, for 1 ≤ i ≤ m, each ki satisfies a fractional size condition and generalized fractional Hörmander condition, and Ai are invertibles matrices. W...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/89289 |
| Acesso em linha: | http://hdl.handle.net/11336/89289 |
| Access Level: | acceso abierto |
| Palavra-chave: | FRACTIONAL OPERATORS HÖRMANDER'S CONDITION OF YOUNG TYPE WEIGHTS INEQUALITIES https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | In this paper we study fractional type operators with more than one kernel, defined by Tα,mf(x) = ˆRn k1(x − A1y)k2(x − A2y). . . km(x − Amy)f(y) dy, where, for 1 ≤ i ≤ m, each ki satisfies a fractional size condition and generalized fractional Hörmander condition, and Ai are invertibles matrices. We obtain weighted Coifman type estimates, strong and weak type inequalities and BMO estimates for this operator. We also present some examples different from those in the literature. |
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