Two-weight mixed norm estimates for a generalized spherical mean radon transform acting on radial functions
We investigate a generalized spherical means operator, in other words the generalized spherical mean Radon transform, acting on radial functions. We establish an integral representation of this operator and find precise estimates of the corresponding kernel. As the main result, we prove two-weight m...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc68dab750603269e810cf |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc68dab750603269e810cf |
| Access Level: | acceso abierto |
| Palabra clave: | Axially symmetric solution Euler{ poisson{darboux equation Hankel transform Kernel estimate Legendre function Mixed norm estimate Radial function Spherical mean Spherical radon transform Strichartz estimate Two-weight estimate Wave equation |
| Sumario: | We investigate a generalized spherical means operator, in other words the generalized spherical mean Radon transform, acting on radial functions. We establish an integral representation of this operator and find precise estimates of the corresponding kernel. As the main result, we prove two-weight mixed norm estimates for the integral operator, with general power weights involved. This leads to weighted Strichartz-Type estimates for solutions to certain Cauchy problems for classical Euler{Poisson{Darboux and wave equations with radial initial data. © 2017 Society for Industrial and Applied Mathematics. |
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