ENDPOINT ESTIMATES AND OPTIMALITY FOR THE GENERALIZED SPHERICAL MAXIMAL OPERATOR ON RADIAL FUNCTIONS
We find sharp conditions for the maximal operator associated with generalized spherical mean Radon transform on radial functions Mtα,β to be bounded on power weighted Lebesgue spaces. Moreover, we also obtain the corresponding endpoint results in terms of optimal power weighted weak and restricted w...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/1858 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/1858 |
| Access Level: | acceso abierto |
| Palabra clave: | endpoint result L estimate p maximal operator radial function restricted weak type estimate sharp estimate spherical mean Spherical Radon transform weak type estimate weighted estimate |
| Sumario: | We find sharp conditions for the maximal operator associated with generalized spherical mean Radon transform on radial functions Mtα,β to be bounded on power weighted Lebesgue spaces. Moreover, we also obtain the corresponding endpoint results in terms of optimal power weighted weak and restricted weak type estimates. All this complements significantly previous partial results existing in the literature. |
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