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arXiv · 2603.06967

Sharp quantitative integral inequalities for general conformally invariant extensions

Qiaohua Yang·Shihong Zhang
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Abstract

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.

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Qiaohua Yang, Shihong Zhang. 2026-03-07. Sharp quantitative integral inequalities for general conformally invariant extensions. https://arxiv.org/abs/2603.06967

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