Hardy-type estimates for Dirac operators |
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| Authors: | Jean Dolbeault Maria J. Esteban Javier Duoandikoetxea Luis Vega |
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| Affiliation: | aCEREMADE, Université Paris-Dauphine, 75775 Paris Cedex 16, France;bUniversidad del País Vasco, Departamento de Matemáticas, Apartado 644, 48080 Bilbao, Spain |
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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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