A note on generalized spherical maximal means
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914759212793856 |
|---|---|
| author | Zhang, Feng |
| author_facet | Zhang, Feng |
| contents | The goal of this note is to provide an alternative proof of Theorem 1.1 (i) in [4], that is, if $n\geq 2$ and $M^α$ is bounded on $L^{p}(\mathbb{R}^{n})$ for some $α\in \mathbb{C}$ and $p\geq 2$, then we have
\begin{align*}
\operatorname{Re} α\geq \max\left\{\frac{1-n}{2}+\frac{1}{p},\frac{1-n}{p}\right\}.
\end{align*} |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10437 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on generalized spherical maximal means Zhang, Feng Classical Analysis and ODEs 42B15, 42B20, 42B25 The goal of this note is to provide an alternative proof of Theorem 1.1 (i) in [4], that is, if $n\geq 2$ and $M^α$ is bounded on $L^{p}(\mathbb{R}^{n})$ for some $α\in \mathbb{C}$ and $p\geq 2$, then we have \begin{align*} \operatorname{Re} α\geq \max\left\{\frac{1-n}{2}+\frac{1}{p},\frac{1-n}{p}\right\}. \end{align*} |
| title | A note on generalized spherical maximal means |
| topic | Classical Analysis and ODEs 42B15, 42B20, 42B25 |
| url | https://arxiv.org/abs/2404.10437 |