Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2022
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929451811471360 |
|---|---|
| author | Nowak, Adam Roncal, Luz Szarek, Tomasz Z. |
| author_facet | Nowak, Adam Roncal, Luz Szarek, Tomasz Z. |
| contents | We find sharp conditions for the maximal operator associated with generalized spherical mean Radon transform on radial functions $M^{\a,\b}_t$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_00327 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions Nowak, Adam Roncal, Luz Szarek, Tomasz Z. Classical Analysis and ODEs 44A12 (Primary), 42B37, 35L15, 35B07, 35L05, 35Q05 (Secondary) We find sharp conditions for the maximal operator associated with generalized spherical mean Radon transform on radial functions $M^{\a,\b}_t$ 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. |
| title | Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions |
| topic | Classical Analysis and ODEs 44A12 (Primary), 42B37, 35L15, 35B07, 35L05, 35Q05 (Secondary) |
| url | https://arxiv.org/abs/2201.00327 |