IMPROVED Lp-Lq HARDY INEQUALITIES

被引：1

作者：

Orazbayev, Almat ^{[1
,2
]}

Suragan, Durvudkhan ^{[1
]}

机构：

[1] Nazarbayev Univ, Dept Math, Astana 010000, Kazakhstan

[2] Inst Math & Math Modelling, Alma Ata 050010, Kazakhstan

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2024年 / 27卷 / 04期

关键词：

Hardy inequality; Lp-Lq Hardy inequality; sharp constant; non-increasing rearrangement;

D O I：

10.7153/mia-2024-27-65

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we obtain a new version of the Hardy inequality which covers the recent inequality of Frank, Laptev, and Weidl derived in [2] and improves the result of Persson and Samko established in [8]. It gives new results in one dimension. We analyse radial and non- radial multidimensional versions of the considered inequality as consequences.

引用

页码：981 / 990

页数：10

共 13 条

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