A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914707989856256 |
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| author | Gan, Shengwen Wu, Shukun |
| author_facet | Gan, Shengwen Wu, Shukun |
| contents | We prove some weighted $L^p\ell^p$-decoupling estimates when $p=2n/(n-1)$. As an application, we give a result beyond the real interpolation exponents for the maximal Bochner-Riesz operator in $\mathbb{R}^3$. We also make an improvement in the planar case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05017 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem Gan, Shengwen Wu, Shukun Classical Analysis and ODEs We prove some weighted $L^p\ell^p$-decoupling estimates when $p=2n/(n-1)$. As an application, we give a result beyond the real interpolation exponents for the maximal Bochner-Riesz operator in $\mathbb{R}^3$. We also make an improvement in the planar case. |
| title | A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2403.05017 |