%0 Journal Article
%T One-dimensional interpolation inequalities, Carlson--Landau inequalities and magnetic Schrodinger operators
%A Alexei Ilyin
%A Ari Laptev
%A Michael Loss
%A Sergey Zelik
%J Mathematics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1502.01572v1