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Elsevier, Annales Scientifiques de l'École Normale Supérieure, 6(40), p. 885-900

DOI: 10.1016/j.ansens.2007.11.002

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Hardy-type estimates for Dirac operators

Journal article published in 2007 by Jean Dolbeault ORCID, Javier Duoandikoetxea, Maria J. Esteban, Luis Vega ORCID
This paper is available in a repository.
This paper is available in a repository.

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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. oui