FRACTIONAL HARDY-SOBOLEV TYPE INEQUALITIES FOR HALF SPACES AND JOHN DOMAINS

被引：9

作者：

Dyda, Bartlomiej ^{[1
]}

Lehrback, Juha ^{[2
]}

Vahakangas, Antti V. ^{[2
]}

机构：

[1] Wroclaw Univ Sci & Technol, Fac Pure & Appl Math, Ul Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland

[2] Univ Jyvaskyla, Dept Math & Stat, POB 35, FI-40014 Jyvaskyla, Finland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 08期

关键词：

Fractional Hardy-Sobolev inequality; Hardy-Sobolev-Maz'ya inequality; John domain; MAZYA INEQUALITY;

D O I：

10.1090/proc/14051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As our main result we prove a variant of the fractional Hardy-Sobolev-Maz'ya inequality for half spaces. This result contains a complete answer to a recent open question by Musina and Nazarov. In the proof we apply a new version of the fractional Hardy-Sobolev inequality that we establish also for more general unbounded John domains than half spaces.

引用

页码：3393 / 3402

页数：10

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