Fractional integration with singularity on the light-cone
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866912728102207488 |
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| author | Wang, Zipeng |
| author_facet | Wang, Zipeng |
| contents | We study a family of convolution operators whose symbols and kernels have singularity on the light-cone in $\mathbb{R}^{n+1}$. First, we prove a desired ${\bf L}^p\to {\bf L}^q$ norm inequality which has been left open. Moreover, we obtain certain sharp regularity results for the cone multiplier problem of negative order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_13584 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Fractional integration with singularity on the light-cone Wang, Zipeng Classical Analysis and ODEs We study a family of convolution operators whose symbols and kernels have singularity on the light-cone in $\mathbb{R}^{n+1}$. First, we prove a desired ${\bf L}^p\to {\bf L}^q$ norm inequality which has been left open. Moreover, we obtain certain sharp regularity results for the cone multiplier problem of negative order. |
| title | Fractional integration with singularity on the light-cone |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2202.13584 |