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
收藏
页数：20
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