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Hardy inequalities for antisymmetric functions
- Source :
- Nonlinear Analysis. 248, 113619 (2024)
- Publication Year :
- 2023
-
Abstract
- 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 \rightarrow \infty 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.<br />Comment: Minor changes
Details
- Database :
- arXiv
- Journal :
- Nonlinear Analysis. 248, 113619 (2024)
- Publication Type :
- Report
- Accession number :
- edsarx.2306.00531
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.na.2024.113619