Lieb-Thirring constant on the sphere and on the torus
File(s)LTS2T2_Ilyin_Laptev_Zelik copy.pdf (326.35 KB)
Accepted version
Author(s)
Ilyin, Alexei
Laptev, Ari
Zelik, Sergey
Type
Journal Article
Abstract
We prove on the sphere S
2 and on the torus T
2
the Lieb–
Thirring inequalities with improved constants for orthonormal families
of scalar and vector functions.
2 and on the torus T
2
the Lieb–
Thirring inequalities with improved constants for orthonormal families
of scalar and vector functions.
Date Issued
2020-12-25
Date Acceptance
2020-09-10
Citation
Journal of Functional Analysis, 2020, 279 (12), pp.1-18
ISSN
0022-1236
Publisher
Elsevier
Start Page
1
End Page
18
Journal / Book Title
Journal of Functional Analysis
Volume
279
Issue
12
Copyright Statement
© 2020 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000581124100007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics
Lieb-Thirring inequalities
Sphere
Torus
INEQUALITIES
Publication Status
Published
Article Number
ARTN 108784
Date Publish Online
2020-09-28