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

A Ilyin; A Laptev; M Loss; S Zelik

doi:10.1093/imrn/rnv156

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

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

A Ilyin, A Laptev, M Loss and S Zelik

International Mathematics Research Notices

05/02/2015

DOI: https://doi.org/10.1093/imrn/rnv156

Abstract

math.AP

26D10

35P15

46E35

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.

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Title: One-dimensional interpolation inequalities, Carlson--Landau inequalities and magnetic Schrodinger operators
Creators: A Ilyin
A Laptev
M Loss
S Zelik
Publication Details: International Mathematics Research Notices
Publisher: Oxford University Press
Date published: 05/02/2015
Date submitted: 06/02/2016
Identifiers: 99512177402346
Copyright: 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.
Academic Unit: Department of Mathematics
Resource Type: Journal article

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

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