Weighted norm inequalities for heat-diffusion Laguerre's semigroups
We consider three systems of Laguerre functions and their corresponding heat diffusion semigroups. For the associate maximal operators, we give necessary and sufficient conditions in order to obtain strong type, weak type and restricted weak type (p,p), with respect to a power weight x δ, for 1 ≤ p...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2007 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositório: | CONICET Digital (CONICET) |
| Idioma: | inglês |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/84072 |
| Acesso em linha: | http://hdl.handle.net/11336/84072 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Heat Diffusion Semigroups Laguerre Functions Local Maximal Function Weights https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | We consider three systems of Laguerre functions and their corresponding heat diffusion semigroups. For the associate maximal operators, we give necessary and sufficient conditions in order to obtain strong type, weak type and restricted weak type (p,p), with respect to a power weight x δ, for 1 ≤ p ≤ ∞. We also obtain sufficient conditions for more general weights. |
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