SOME HARDY INEQUALITIES ON THE SPHERE

被引：13
作者：
Xiao, Yingxiong [1 ]
机构：
[1] Hubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Hubei, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2016年 / 10卷 / 03期
关键词：
Hardy inequality; Rellich inequality; sphere; sharp constant; RIEMANNIAN-MANIFOLDS; RELLICH INEQUALITIES; HEAT-EQUATION; CONSTANTS;
D O I：
10.7153/jmi-10-64
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish sonic Hardy inequalities related to the geodesic distance on the sphere and compute the corresponding sharp constants. Moreover, some Rellich inequalities have been also established and the constants are also sharp.
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页码：793 / 805
页数：13
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