One-dimensional interpolation inequalities, Carlson--Landau inequalities and magnetic Schrodinger operators
classification
🧮 math.AP
keywords
inequalitiesmagneticoperatorsschrodingerinterpolationapplicationscarlson--landaucarlson--landau-type
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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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