Hardy and Sobolev inequalities on antisymmetric functions
Author(s)
Hoffmann-Ostenhof, Th
Laptev, A
Shcherbakov, I
Type
Journal Article
Abstract
We obtain sharp Hardy inequalities on antisymmetric functions, where antisymmetry is understood for multi-dimensional particles. Partially it is an extension of the paper [Th. Hoffmann-Ostenhof and A. Laptev, Hardy inequalities with homogeneous weights, J. Funct. Anal. 268 (2015) 3278–3289], where Hardy’s inequalities were considered for the antisymmetric functions in the case of the 1D particles. As a byproduct we obtain some Sobolev and Gagliardo–Nirenberg type inequalities that are applied to the study of spectral properties of Schrödinger operators.
Date Issued
2024-04
Date Acceptance
2023-08-01
Citation
Bulletin of Mathematical Sciences, 2024, 14
ISSN
1664-3607
Publisher
World Scientific Publishing
Journal / Book Title
Bulletin of Mathematical Sciences
Volume
14
Copyright Statement
© The Author(s)
This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
License URL
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:001050025900001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
Subjects
antisymmetric functions
Caffarelli-Kohn-Nirenberg inequality
Hardy inequalities
Mathematics
Physical Sciences
SCHRODINGER-OPERATORS
Science & Technology
Sobolev inequalities
Publication Status
Published
Article Number
2350010
Date Publish Online
2023-08-15