On sharp heat and subordinated kernel estimates in the Fourier-Bessel setting
We prove qualitatively sharp heat kernel bounds in the setting of Fourier-Bessel expansions when the associated type parameter ν is half-integer. Moreover, still for half-integer ν , we also obtain sharp estimates of all kernels subordinated to the heat kernel. Analogous estimates for general ν >...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | España |
| Recursos: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc697db750603269e81c28 |
| Acesso em linha: | https://investigacion.unirioja.es/documentos/5bbc697db750603269e81c28 |
| Access Level: | acceso abierto |
| Palavra-chave: | Fourier-Bessel expansion Heat kernel Heat semigroup Maximal operator Poisson kernel Subordinated kernel |
| Resumo: | We prove qualitatively sharp heat kernel bounds in the setting of Fourier-Bessel expansions when the associated type parameter ν is half-integer. Moreover, still for half-integer ν , we also obtain sharp estimates of all kernels subordinated to the heat kernel. Analogous estimates for general ν > -1 are conjectured. Some consequences concerning the related heat semigroup maximal operator are discussed. |
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