Sharp quantitative integral inequalities for general conformally invariant extensions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912950922510336 |
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| author | Yang, Qiaohua Zhang, Shihong |
| author_facet | Yang, Qiaohua Zhang, Shihong |
| contents | In this paper, we develop a refined analysis of hypergeometric functions to establish sharp quantitative integral inequalities for a general family of conformally invariant extension operators and their adjoints. Our results extend the recent work of Frank, Peteranderl, and Read \cite{Frank&Peteranderl&Read} to the full admissible parameter range under the natural index constraints. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06967 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sharp quantitative integral inequalities for general conformally invariant extensions Yang, Qiaohua Zhang, Shihong Analysis of PDEs 49J40, 33C05 In this paper, we develop a refined analysis of hypergeometric functions to establish sharp quantitative integral inequalities for a general family of conformally invariant extension operators and their adjoints. Our results extend the recent work of Frank, Peteranderl, and Read \cite{Frank&Peteranderl&Read} to the full admissible parameter range under the natural index constraints. |
| title | Sharp quantitative integral inequalities for general conformally invariant extensions |
| topic | Analysis of PDEs 49J40, 33C05 |
| url | https://arxiv.org/abs/2603.06967 |