Weighted Hardy-Sobolev, Log-Sobolev and Moser-Onofri-Beckner Inequalities with Monomial Weights

被引：3

作者：

Wang, Jianxiong ^{[1
]}

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

POTENTIAL ANALYSIS | 2023年 / 58卷 / 02期

关键词：

Hardy-Sobolev inequalities; Logarithmic Sobolev inequalities; Moser-Onofri-Beckner inequalities; Best constants; Monomial weights;

D O I：

10.1007/s11118-021-09938-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We first derive a double-weighted Hardy-Sobolev inequality with monomial weights on Euclidean space, then we establish the Gross' type logarithmic Sobolev inequality with monomial weights using product structure. We will also study Moser-Onofri-Beckner inequality with monomial weights. Some best constants and extremals are also explicitly given.

引用

页码：225 / 240

页数：16

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