Power weight inequalities for spherical maximal functions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866908841331916800 |
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| author | Fraccaroli, Marco Roos, Joris Seeger, Andreas |
| author_facet | Fraccaroli, Marco Roos, Joris Seeger, Andreas |
| contents | This paper is about spherical maximal functions with general dilation sets acting on functions in weighted $L^p(|x|^α)$ spaces. Aside from endpoint cases, a complete description of the allowable ranges of $p$, $α$ is given in terms of the Legendre--Assouad function of the dilation set. This settles, up to endpoints, an open problem of Duoandikoetxea and Seijo. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17613 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Power weight inequalities for spherical maximal functions Fraccaroli, Marco Roos, Joris Seeger, Andreas Classical Analysis and ODEs 42B25, 28A80 This paper is about spherical maximal functions with general dilation sets acting on functions in weighted $L^p(|x|^α)$ spaces. Aside from endpoint cases, a complete description of the allowable ranges of $p$, $α$ is given in terms of the Legendre--Assouad function of the dilation set. This settles, up to endpoints, an open problem of Duoandikoetxea and Seijo. |
| title | Power weight inequalities for spherical maximal functions |
| topic | Classical Analysis and ODEs 42B25, 28A80 |
| url | https://arxiv.org/abs/2602.17613 |