$L^p$ weighted Fourier restriction estimates
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909172447051776 |
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| author | Du, Xiumin Li, Jianhui Wang, Hong Zhang, Ruixiang |
| author_facet | Du, Xiumin Li, Jianhui Wang, Hong Zhang, Ruixiang |
| contents | We obtain some sharp $L^p$ weighted Fourier restriction estimates of the form $\|Ef\|_{L^p(B^{n+1}(0,R),Hdx)} \lessapprox R^β\|f\|_2$, where $E$ is the Fourier extension operator over the truncated paraboloid, and $H$ is a weight function on $\mathbb R^{n+1}$ which is $n$-dimensional up to scale $\sqrt R$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10951 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $L^p$ weighted Fourier restriction estimates Du, Xiumin Li, Jianhui Wang, Hong Zhang, Ruixiang Classical Analysis and ODEs We obtain some sharp $L^p$ weighted Fourier restriction estimates of the form $\|Ef\|_{L^p(B^{n+1}(0,R),Hdx)} \lessapprox R^β\|f\|_2$, where $E$ is the Fourier extension operator over the truncated paraboloid, and $H$ is a weight function on $\mathbb R^{n+1}$ which is $n$-dimensional up to scale $\sqrt R$. |
| title | $L^p$ weighted Fourier restriction estimates |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2404.10951 |