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

摘要

In this paper we prove refined first-order interpolation inequalities forperiodic functions and give applications to various refinements of theCarlson--Landau-type inequalities and to magnetic Schrodinger operators. Wealso obtain Lieb-Thirring inequalities for magnetic Schrodinger operators onmulti-dimensional cylinders.