Hardy inequalities for antisymmetric functions

被引：0
|
作者：
Gupta, Shubham [1 ]
机构：
[1] Imperial Coll London, Dept Math, 180 Queens Gate, London SW7 2AZ, England
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2024年 / 248卷
关键词：
Hardy inequality; Antisymmetric functions; Sharp constant; Expansion of the square; SCHRODINGER-OPERATORS;
D O I：
10.1016/j.na.2024.113619
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study Hardy inequalities for antisymmetric functions in three different settings: Euclidean space, torus and the integer lattice. In particular, we show that under the antisymmetric condition the sharp constant in Hardy inequality increases substantially and grows as d(4) as d -> infinity in all cases. As a side product, we prove Hardy inequality on a domain whose boundary forms a corner at the point of singularity x = 0.
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页数：13
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