06-325 J. Duoandikoetxea, J. Dolbeault, M. J. Esteban, L. Vega

Hardy-type estimates for Dirac operators. (402K, Postscript) Nov 9, 06

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Abstract. We prove some Hardy type inequalities related to the Dirac operator by elementary methods, for a large class of potentials, which even includes measure valued potentials. Optimality is achieved by the Coulomb potential. When potentials are smooth enough, our estimates provide some spectral information on the operator.

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