Hardy-Carleman Type Inequalities for Dirac Operators

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.

References in corpus (2)

• On the eigenvalues of operators with gaps. Application to Dirac operators
• Self-adjointness of Dirac operators via Hardy-Dirac inequalities