On $L^{p}$-improving bounds for maximal operators associated with curves of finite type in the plane
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911912162230272 |
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| author | Li, Wenjuan Wang, Huiju |
| author_facet | Li, Wenjuan Wang, Huiju |
| contents | In this paper, we study the $L^{p}$-improving property for the maximal operators along a large class of curves of finite type in the plane with dilation set $E \subset [1,2]$. The $L^{p}$-improving region depends on the order of finite type and the fractal dimension of $E$. In particular, various impacts of non-isotropic dilations are also considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_02897 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On $L^{p}$-improving bounds for maximal operators associated with curves of finite type in the plane Li, Wenjuan Wang, Huiju Classical Analysis and ODEs 42B20, 42B25 In this paper, we study the $L^{p}$-improving property for the maximal operators along a large class of curves of finite type in the plane with dilation set $E \subset [1,2]$. The $L^{p}$-improving region depends on the order of finite type and the fractal dimension of $E$. In particular, various impacts of non-isotropic dilations are also considered. |
| title | On $L^{p}$-improving bounds for maximal operators associated with curves of finite type in the plane |
| topic | Classical Analysis and ODEs 42B20, 42B25 |
| url | https://arxiv.org/abs/2303.02897 |