Weighted decoupling estimates and the Bochner-Riesz means
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908585315794944 |
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| author | Kim, Jongchon |
| author_facet | Kim, Jongchon |
| contents | We prove new weighted decoupling estimates. As an application, we give an improved sufficient condition for almost everywhere convergence of the Bochner-Riesz means of arbitrary $L^p$ functions for $1<p<2$ in dimensions 2 and 3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03741 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weighted decoupling estimates and the Bochner-Riesz means Kim, Jongchon Classical Analysis and ODEs 42B25 We prove new weighted decoupling estimates. As an application, we give an improved sufficient condition for almost everywhere convergence of the Bochner-Riesz means of arbitrary $L^p$ functions for $1<p<2$ in dimensions 2 and 3. |
| title | Weighted decoupling estimates and the Bochner-Riesz means |
| topic | Classical Analysis and ODEs 42B25 |
| url | https://arxiv.org/abs/2406.03741 |