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

2015/02/05 by Ilyin, Alexei, Laptev, Ari, Loss, Michael +1 · 1 citation
#26D10 #35P15 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1502.01572

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.

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