Stein-Weiss inequality revisit on Heisenberg group
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909882547961856 |
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| author | Sun, Chuhan Wang, Zipeng |
| author_facet | Sun, Chuhan Wang, Zipeng |
| contents | We study a family of fractional integral operators defined on Heisenberg group whose kernels satisfy Zygmund dilation. We give a characterization between a two-weight norm inequality and the necessary constraints by considering the weights to be suitable powers. As a result, we obtain a Stein-Weiss inequality on Heisenberg group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00845 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stein-Weiss inequality revisit on Heisenberg group Sun, Chuhan Wang, Zipeng Classical Analysis and ODEs We study a family of fractional integral operators defined on Heisenberg group whose kernels satisfy Zygmund dilation. We give a characterization between a two-weight norm inequality and the necessary constraints by considering the weights to be suitable powers. As a result, we obtain a Stein-Weiss inequality on Heisenberg group. |
| title | Stein-Weiss inequality revisit on Heisenberg group |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2511.00845 |