文献类型：期刊文献

英文题名：Sharp hardy inequalities via riemannian submanifolds

作者：Chen, Yunxia[1]; Zhao, Wei[1]

机构：[1] Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China

年份：2020

外文期刊名：arXiv

收录：EI(收录号：20200601942)

语种：英文

摘要：This paper is devoted to Hardy inequalities concerning distance functions from submanifolds of arbitrary codimensions in the Riemannian setting. On a Riemannian manifold with non-negative curvature, sharp weighted Hardy inequalities are established in the cases when the submanifold is compact as well as non-compact. Moreover, these inequalities remain valid even if the total manifold is compact, in which case we find an optimal space of smooth functions to study Hardy inequalities. Further examples are also provided. Our results complement in several aspects those obtained recently in the Euclidean and Riemannian settings. Copyright ? 2020, The Authors. All rights reserved.