An analytical proof of Hardy-like inequalities related to the Dirac operator

Details An analytical proof of Hardy-like inequalities related to the Dirac operator An analytical proof of Hardy-like inequalities related to the Dirac operator

2003-09-30

arxiv.org/abs/math-ph/0309065v1

Physics

Mathematical Physics

LaTex, 22 pages

Scientific paper

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.

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