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One-dimensional interpolation inequalities, Carlson--Landau inequalities and magnetic Schrodinger operators

Ilyin, A, Laptev, A, Loss, M and Zelik, S (2015) One-dimensional interpolation inequalities, Carlson--Landau inequalities and magnetic Schrodinger operators International Mathematics Research Notices.

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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 Schrodinger operators. We also obtain Lieb-Thirring inequalities for magnetic Schrodinger operators on multi-dimensional cylinders.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Ilyin, AUNSPECIFIEDUNSPECIFIED
Laptev, AUNSPECIFIEDUNSPECIFIED
Loss, MUNSPECIFIEDUNSPECIFIED
Zelik, SUNSPECIFIEDUNSPECIFIED
Date : 5 February 2015
Identification Number : 10.1093/imrn/rnv156
Copyright Disclaimer : This article has been accepted for publication in International Mathematics Research Notices. Published by Oxford University Press. This is the arXiv version of the paper.
Uncontrolled Keywords : math.AP, math.AP, 26D10, 35P15, 46E35
Related URLs :
Additional Information : This article has been accepted for publication in International Mathematics Research Notices. Published by Oxford University Press. This is the arXiv version of the paper.
Depositing User : Symplectic Elements
Date Deposited : 08 Mar 2016 11:33
Last Modified : 08 Mar 2016 11:33
URI: http://epubs.surrey.ac.uk/id/eprint/809940

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