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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2201.00327 |
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| _version_ | 1866929451811471360 |
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| 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 |