One-dimensional interpolation inequalities, Carlson-Landau inequalities, and magnetic Schrodinger operators
File(s)
Accepted version
Author(s)
Ilyin, A
Laptev, A
Loss, M
Zelik, S
Type
Journal Article
Abstract
In this paper, we prove refined first-order interpolation inequalities for periodic functions and give applications to various refinements of the Carlson–Landau-type inequalities and to magnetic Schrödinger operators. We also obtain Lieb–Thirring inequalities for magnetic Schrödinger operators on multi-dimensional cylinders.
Date Issued
2016-01-01
Date Acceptance
2015-05-06
Citation
International Mathematics Research Notices, 2016, 2016 (4), pp.1190-1222
ISSN
1073-7928
Publisher
Oxford University Press (OUP)
Start Page
1190
End Page
1222
Journal / Book Title
International Mathematics Research Notices
Volume
2016
Issue
4
Copyright Statement
© The Author(s) 2015. Published by Oxford University Press. All rights reserved. This is a pre-copy-editing, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The definitive publisher-authenticated version A. Ilyin et al. (2016) “Magnetic Interpolation Inequalities,”
International Mathematics Research Notices, Vol. 2016, No. 4, pp. 1190–1222 is available online at: https://dx.doi.org/doi:10.1093/imrn/rnv156
International Mathematics Research Notices, Vol. 2016, No. 4, pp. 1190–1222 is available online at: https://dx.doi.org/doi:10.1093/imrn/rnv156
Subjects
Science & Technology
Physical Sciences
Mathematics
LIEB-THIRRING INEQUALITIES
CONSTANTS
BOUNDS
Publication Status
Published
Date Publish Online
2015-06-05