
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
Type
Article accepté pour publication ou publiéDate
2004Journal name
Journal of Functional AnalysisVolume
216Number
1Publisher
Elsevier
Pages
1-21
Publication identifier
Metadata
Show full item recordAbstract (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 / Keywords
Relativistic Hydrogen atom; Dirac–Coulomb Hamiltonian; Optimal constants; Dirac operator; Hardy inequalityRelated items
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