Finsler Hardy inequalities

被引：8

作者：

Mercaldo, Anna ^{[1
]}

Sano, Megumi ^{[2
]}

Takahashi, Futoshi ^{[3
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Complesso Monte S Angelo,Via Cintia, I-80126 Naples, Italy

[2] Hiroshima Univ, Grad Sch Engn, Lab Math, Higashihiroshima 7398527, Japan

[3] Osaka City Univ, Dept Math, Sumiyoshi Ku, 3-3-138 Sugimoto, Osaka 5588585, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2020年 / 293卷 / 12期

关键词：

best constant; Finsler norm; Hardy inequality; ISOPERIMETRIC-INEQUALITIES; CONSTANT;

D O I：

10.1002/mana.201900117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present a unified simple approach to anisotropic Hardy inequalities in various settings. We consider Hardy inequalities which involve a Finsler distance from a point or from the boundary of a domain. The sharpness and the non-attainability of the constants in the inequalities are also proved.

引用

页码：2370 / 2398

页数：29

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