SHARP TRACE INEQUALITIES FOR FRACTIONAL LAPLACIANS

被引：7

作者：

Einav, Amit ^{[1
]}

Loss, Michael ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 12期

基金：

美国国家科学基金会;

关键词：

SOBOLEV INEQUALITIES; CONSTANT;

D O I：

10.1090/S0002-9939-2012-11380-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The sharp trace inequality of Jose Escobar is extended to traces for the fractional Laplacian on R-n, and a complete characterization of cases of equality is discussed. The proof proceeds via Fourier transform and uses Lieb's sharp form of the Hardy-Littlewood-Soboley inequality.

引用

页码：4209 / 4216

页数：8

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