J. Dolbeault, M. J. Esteban, M. Loss, L. Vega
Published 2003-09-30Version 1
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.
Comments: LaTex, 22 pages
Spectral energy of Dirac operators for fermion scattering on topological solitons in the nonlinear $O(3)$ $σ$-model
Dirac operators, shell interactions and discontinuous gauge functions across the boundary
Isospectral deformations of the Dirac operator
