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.
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页码：2370 / 2398
页数：29
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