Inequalities of Brascamp-Lieb type on the Heisenberg group
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929303977984000 |
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| author | Huang, Kaiyi Stovall, Betsy |
| author_facet | Huang, Kaiyi Stovall, Betsy |
| contents | We prove both necessary and sufficient conditions for $L^p$-bound\-ed\-ness of certain multilinear generalized Radon transforms that arise as Heisenberg group analogues of the Brascamp--Lieb inequalities on Euclidean space. The necessary and sufficient conditions coincide in some important special cases, but differ in others. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02510 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inequalities of Brascamp-Lieb type on the Heisenberg group Huang, Kaiyi Stovall, Betsy Classical Analysis and ODEs 42B20 We prove both necessary and sufficient conditions for $L^p$-bound\-ed\-ness of certain multilinear generalized Radon transforms that arise as Heisenberg group analogues of the Brascamp--Lieb inequalities on Euclidean space. The necessary and sufficient conditions coincide in some important special cases, but differ in others. |
| title | Inequalities of Brascamp-Lieb type on the Heisenberg group |
| topic | Classical Analysis and ODEs 42B20 |
| url | https://arxiv.org/abs/2401.02510 |