Hardy-Carleman Type Inequalities for Dirac Operators
Spectral Theory
2015-10-28 v1 Analysis of PDEs
Abstract
General Hardy-Carleman type inequalities for Dirac operators are proved. New inequalities are derived involving particular traditionally used weight functions. In particular, a version of the Agmon inequality and Treve type inequalities are established. The case of a Dirac particle in a (potential) magnetic field is also considered. The methods used are direct and based on quadratic form techniques.
Cite
@article{arxiv.1503.06491,
title = {Hardy-Carleman Type Inequalities for Dirac Operators},
author = {Alexandra Enblom},
journal= {arXiv preprint arXiv:1503.06491},
year = {2015}
}