$\mathbf{L}^p$-boundedness of the Bochner-Riesz operator
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866908732137406464 |
|---|---|
| author | Wang, Zipeng |
| author_facet | Wang, Zipeng |
| contents | In this paper, we give a new approach to the Bochner-Riesz summability. As a result, we show that the Bochner-Riesz operator $\mathbf{S}^δ, 0<\Reδ<{1\over 2}$ is bounded on $\mathbf{L}^p(\mathbb{R}^n)$ for ${n-1\over 2n}\leq {1\over p}\leq{n+1\over 2n}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12742 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $\mathbf{L}^p$-boundedness of the Bochner-Riesz operator Wang, Zipeng Classical Analysis and ODEs In this paper, we give a new approach to the Bochner-Riesz summability. As a result, we show that the Bochner-Riesz operator $\mathbf{S}^δ, 0<\Reδ<{1\over 2}$ is bounded on $\mathbf{L}^p(\mathbb{R}^n)$ for ${n-1\over 2n}\leq {1\over p}\leq{n+1\over 2n}$. |
| title | $\mathbf{L}^p$-boundedness of the Bochner-Riesz operator |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2501.12742 |