The elliptic maximal function
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914955423383552 |
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| author | Lee, Juyoung Lee, Sanghyuk Oh, Sewook |
| author_facet | Lee, Juyoung Lee, Sanghyuk Oh, Sewook |
| contents | We study the elliptic maximal functions defined by averages over ellipses and rotated ellipses which are multi-parametric variants of the circular maximal function. We prove that those maximal functions are bounded on $L^p$ for some $p\neq \infty$. For this purpose, we obtain some sharp multi-parameter local smoothing estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_16221 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The elliptic maximal function Lee, Juyoung Lee, Sanghyuk Oh, Sewook Classical Analysis and ODEs We study the elliptic maximal functions defined by averages over ellipses and rotated ellipses which are multi-parametric variants of the circular maximal function. We prove that those maximal functions are bounded on $L^p$ for some $p\neq \infty$. For this purpose, we obtain some sharp multi-parameter local smoothing estimates. |
| title | The elliptic maximal function |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2305.16221 |