An analytical proof of Hardy-like inequalities related to the Dirac operator
Loss, Michael; Esteban, Maria J.; Dolbeault, Jean; Vega, Luis (2004), An analytical proof of Hardy-like inequalities related to the Dirac operator, Journal of Functional Analysis, 216, 1, p. 1-21. http://dx.doi.org/10.1016/j.jfa.2003.09.010
TypeArticle accepté pour publication ou publié
Journal nameJournal of Functional Analysis
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Abstract (EN)We prove some sharp Hardy-type inequalities related to the Dirac operator by elementary, direct methods. Some of these inequalities have been obtained previously using spectral information about the Dirac–Coulomb operator. Our results are stated under optimal conditions on the asymptotics of the potentials near zero and near infinity.
Subjects / KeywordsRelativistic Hydrogen atom; Dirac–Coulomb Hamiltonian; Optimal constants; Dirac operator; Hardy inequality
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