Weighted Hardy-Littlewood-Sobolev inequalities on the upper half space

被引：13

作者：

Dou, Jingbo ^{[1
]}

机构：

[1] Xian Univ Finance & Econ, Sch Stat, Xian 710100, Shaanxi, Peoples R China

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2016年 / 18卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Hardy-Littlewood-Sobolev inequality; weighted function; extremal function; upper half space; INTEGRAL-EQUATIONS; FRACTIONAL INTEGRALS; SINGULARITY ANALYSIS; SYSTEMS;

D O I：

10.1142/S0219199715500674

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a weighted Hardy-Littlewood-Sobolev (HLS) inequality on the upper half space using a weighted Hardy type inequality on the upper half space with boundary term, and discuss the existence of extremal functions based on symmetrization argument. As an application, we can show a weighted Sobolev-Hardy trace inequality with p-biharmonic operator.

引用

页数：20

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