On the end-point of Stein-Weiss inequality
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913978260652032 |
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| author | Sun, Chuhan Wang, Zipeng |
| author_facet | Sun, Chuhan Wang, Zipeng |
| contents | This paper has two purposes. First, we show that the classical Stein-Weiss inequality is true for p=1. Second, by considering a family of strong fractional integral operators whose kernels have singularity on every coordinate subspace, we extend this end-point result to the multi-parameter setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19528 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the end-point of Stein-Weiss inequality Sun, Chuhan Wang, Zipeng Classical Analysis and ODEs This paper has two purposes. First, we show that the classical Stein-Weiss inequality is true for p=1. Second, by considering a family of strong fractional integral operators whose kernels have singularity on every coordinate subspace, we extend this end-point result to the multi-parameter setting. |
| title | On the end-point of Stein-Weiss inequality |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2412.19528 |