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.

引用

页数：13

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