03-436 Jean Dolbeault, Maria J. Esteban, Michael Loss, Luis Vega

An analytical proof of Hardy-like inequalities related to the Dirac operator (361K, PDF) Sep 22, 03

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Abstract. We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct methods. Some of these inequalities have been obtained previously using spectral information about the Dirac-Coulomb operator. Our results are stated under optimal conditions on the asymptotics of the potentials near zero and near infinity.

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