Weighted Hardy and Rellich type inequalities on Riemannian manifolds

被引：10

作者：

Kombe, Ismail ^{[1
]}

Yener, Abdullah ^{[1
]}

机构：

[1] Istanbul Commerce Univ, Sutluce Mahallesi, Imrahor Caddesi 90, TR-34445 Istanbul, Turkey

来源：

MATHEMATISCHE NACHRICHTEN | 2016年 / 289卷 / 8-9期

关键词：

Riemannian manifolds; Hardy inequality; Hardy-Poincare inequality; Rellich inequality; CONSTANTS; POINCARE;

D O I：

10.1002/mana.201500237

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present new results on two-weight Hardy, Hardy-Poincare and Rellich type inequalities with remainder terms on a complete noncompact Riemannian Manifold M. The method we use is flexible enough to obtain more weighted Hardy type inequalities. Our results improve and include many previously known results as special cases. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：994 / 1004

页数：11

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