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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 Schrödinger operators. We also obtain Lieb–Thirring inequalities for magnetic Schrödinger operators on multi-dimensional cylinders

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