Rearrangement Free Method for Hardy-Littlewood-Sobolev Inequalities on S^(n)

作     者：Shutao Zhang Yazhou Han Shutao Zhang;Yazhou Han

作者机构：Department of MathematicsCollege of ScienceChina Jiliang UniversityHangzhouZhejiang 310018China 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2022年第38卷第2期

页      面：178-203页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.12071269) Natural Science Foundation of Zhejiang Province(Grant No.LY18A010013) 

主　　题：Hardy-Littlewood-Sobolev inequality reversed Hardy-Littlewood-Sobolev inequality rearrangement free method 

摘      要：For conformal Hardy-Littlewood-Sobolev(HLS)inequalities[22]and reversed conformal HLS inequalities[8]on S^(n),a new proof is given for the attainability of their sharp *** methods used in[22]and[8]depends on rearrangement ***,we use the subcritical approach to construct the extremal sequence and circumvent the blow-up phenomenon by renormalization *** merit of the method is that it does not rely on rearrangement inequalities.