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 is 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. (C) 2015 AIP Publishing LLC
We use the spectra of Dirac type operators on the sphere Sn to produce sharp L2 inequalities on the ...
Distinguished selfadjoint extensions of Dirac operators are constructed for a class of potentials in...
We use the spectra of Dirac type operators on the sphere Sn to produce sharp L2 inequalities on the ...
We deal with Dirac operators with external homogeneous magnetic fields. Hardy-type inequalities rela...
Abstract. We prove some Hardy type inequalities related to the Dirac operator by elementary methods,...
We prove some Hardy type inequalities related to the Dirac operator by elementary methods, for a lar...
We prove some sharp Hardy-type inequalities related to the Dirac operator by elementary, direct meth...
We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct meth...
AbstractWe prove some sharp Hardy-type inequalities related to the Dirac operator by elementary, dir...
We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct meth...
An inequality of Hardy type is established for quadratic forms involving Dirac operator and a weight...
An inequality of Hardy type is established for quadratic forms involving Dirac operator and a weight...
Abstract. We prove some Hardy type inequalities related to the Dirac operator by elementary methods,...
We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain ...
We use the spectra of Dirac type operators on the sphere Sn to produce sharp L2 inequalities on the ...
We use the spectra of Dirac type operators on the sphere Sn to produce sharp L2 inequalities on the ...
Distinguished selfadjoint extensions of Dirac operators are constructed for a class of potentials in...
We use the spectra of Dirac type operators on the sphere Sn to produce sharp L2 inequalities on the ...
We deal with Dirac operators with external homogeneous magnetic fields. Hardy-type inequalities rela...
Abstract. We prove some Hardy type inequalities related to the Dirac operator by elementary methods,...
We prove some Hardy type inequalities related to the Dirac operator by elementary methods, for a lar...
We prove some sharp Hardy-type inequalities related to the Dirac operator by elementary, direct meth...
We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct meth...
AbstractWe prove some sharp Hardy-type inequalities related to the Dirac operator by elementary, dir...
We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct meth...
An inequality of Hardy type is established for quadratic forms involving Dirac operator and a weight...
An inequality of Hardy type is established for quadratic forms involving Dirac operator and a weight...
Abstract. We prove some Hardy type inequalities related to the Dirac operator by elementary methods,...
We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain ...
We use the spectra of Dirac type operators on the sphere Sn to produce sharp L2 inequalities on the ...
We use the spectra of Dirac type operators on the sphere Sn to produce sharp L2 inequalities on the ...
Distinguished selfadjoint extensions of Dirac operators are constructed for a class of potentials in...
We use the spectra of Dirac type operators on the sphere Sn to produce sharp L2 inequalities on the ...
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