Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
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.
 
 
Hardy-type estimates for Dirac operators
DOLBEAULT Jean, DUOANDIKOETXEA Javier, ESTEBAN Maria J.
VEGA Luis
2006-51
09-11-2006
 
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