Hardy inequality for antisymmetric functions
File(s)
Author(s)
Hoffmann-Ostenhof, T
Laptev, A
Type
Journal Article
Abstract
We consider Hardy inequalities on antisymmetric functions. Such inequalities have substantially better constants. We show that they depend on the lowest degree of an antisymmetric harmonic polynomial. This allows us to obtain some Caffarelli–Kohn–Nirenberg-type inequalities that are useful for studying spectral properties of Schrödinger operators.
Date Issued
2021-04-01
Date Acceptance
2021-03-15
Citation
Functional Analysis and Its Applications, 2021, 55 (2), pp.122-129
URI
URL
DOI
ISSN
0016-2663
Publisher
Springer Verlag
Start Page
122
End Page
129
Journal / Book Title
Functional Analysis and Its Applications
Volume
55
Issue
2
Copyright Statement
© The Author(s), 2021, published in Funktsional
nyi Analiz i Ego Prilozheniya. The final publication is available at Springer via https://doi.org/10.1134/S0016266321020040
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000715837400004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Hardy inequalities
antisymmetric functions
Caffarelli-Kohn-Nirenberg inequality
SCHRODINGER-OPERATORS
Publication Status
Published
Date Publish Online
2021-11-08