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

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.Comment: 33