Hardy-Littlewood-Sobolev inequality revisit on Heisenberg group
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866914038296870912 |
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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 groups. The kernels of these operators satisfy Zygmund dilations. We obtain a Hardy-Littlewood-Sobolev type inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11828 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hardy-Littlewood-Sobolev inequality revisit on Heisenberg group Sun, Chuhan Wang, Zipeng Classical Analysis and ODEs We study a family of fractional integral operators defined on Heisenberg groups. The kernels of these operators satisfy Zygmund dilations. We obtain a Hardy-Littlewood-Sobolev type inequality. |
| title | Hardy-Littlewood-Sobolev inequality revisit on Heisenberg group |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2509.11828 |