文献类型：期刊文献

英文题名：Hardy type inequalities on closed manifolds via Ricci curvature

作者：Meng, Canjun[1];Wang, Han[1];Zhao, Wei[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2021

卷号：151

期号：3

起止页码：993

外文期刊名：PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000650322300006)】；

基金：The authors thank the anonymous Referee for her/his valuable comments. This work was supported by NNSFC (No. 11761058), NSFS (No. 19ZR1411700) and National College Students' innovation and entrepreneurship training program.

语种：英文

外文关键词：Hardy inequality; best constant; closed manifold; weighted Ricci curvature; weighted Riemannian manifold; p-Laplacian

摘要：The article is devoted to Hardy type inequalities on closed manifolds. By means of various weighted Ricci curvatures, we establish several sharp Hardy type inequalities on closed weighted Riemannian manifolds. Our results complement in several aspects those obtained recently in the non-compact Riemannian setting.