An analytical proof of Hardy-like inequalities related to the Dirac operator
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0309065,
title = {An analytical proof of Hardy-like inequalities related to the Dirac operator},
author = {J. Dolbeault and M. J. Esteban and M. Loss and L. Vega},
journal= {arXiv preprint arXiv:math-ph/0309065},
year = {2007}
}
Comments
LaTex, 22 pages