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

被引：0
|
作者：
Jianxiong Wang
机构：
[1] University of Connecticut,Department of Mathematics
来源：
Potential Analysis | 2023年 / 58卷
关键词：
Hardy-Sobolev inequalities; Logarithmic Sobolev inequalities; Moser-Onofri–Beckner inequalities; Best constants; Monomial weights; 26D10; 46E35;
D O I：
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学科分类号：
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.
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页码：225 / 240
页数：15
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