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dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
dc.contributor.authorDuoandikoetxea, Javier
dc.contributor.authorEsteban, Maria J.
HAL ID: 738381
ORCID: 0000-0003-1700-9338
dc.contributor.authorVega, Luis
dc.date.accessioned2009-07-02T17:26:59Z
dc.date.available2009-07-02T17:26:59Z
dc.date.issued2007
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/701
dc.language.isoenen
dc.subjectHardy inequalityen
dc.subjectDirac operator
dc.subjectCoulomb potential
dc.subjectOptimal constants
dc.subjectDirac-Coulomb Hamiltonian
dc.subjectrelativistic Hydrogen atom
dc.subject.ddc519en
dc.titleHardy-type estimates for Dirac operatorsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversidad de Pais Vasco;Espagne
dc.description.abstractenWe 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.en
dc.relation.isversionofjnlnameAnnales Scientifiques de l'École Normale Supérieure
dc.relation.isversionofjnlvol40en
dc.relation.isversionofjnlissue6en
dc.relation.isversionofjnldate2007
dc.relation.isversionofjnlpages885-900en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00112858/en/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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