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arXiv · 1502.01572

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

Alexei Ilyin·Ari Laptev·Michael Loss·Sergey Zelik
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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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Alexei Ilyin, Ari Laptev, Michael Loss, Sergey Zelik. 2015-02-05. One-dimensional interpolation inequalities, Carlson--Landau inequalities and magnetic Schrodinger operators. https://arxiv.org/abs/1502.01572

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