2 papers
math.AP2026
Sharp quantitative integral inequalities for general conformally invariant extensions
Qiaohua Yang, Shihong Zhang
In this paper, we develop a refined analysis of hypergeometric functions to establish sharp quantitative integral inequalities for a general family of conformally invariant extensi…
math.AP2025
A simple proof of reverse Sobolev inequalities on the sphere and Sobolev trace inequalities on the unit ball
Runmin Gong, Qiaohua Yang, Shihong Zhang
Frank et al. (J. Funct. Anal., 2022) stated that there is no relation between the reversed Hardy-Littlewood-Sobolev (HLS) inequalities and reverse Sobolev inequalities. However, we…