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arXiv · 1503.06491

Hardy-Carleman Type Inequalities for Dirac Operators

Alexandra Enblom
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Abstract

General Hardy-Carleman type inequalities for Dirac operators are proved. New inequalities are derived involving particular traditionally used weight functions. In particular, a version of the Agmon inequality and Treve type inequalities are established. The case of a Dirac particle in a (potential) magnetic field is also considered. The methods used are direct and based on quadratic form techniques.

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Alexandra Enblom. 2015-03-22. Hardy-Carleman Type Inequalities for Dirac Operators. https://doi.org/10.1063/1.4933241

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