We prove some Hardy type inequalities related to the Dirac operator by elementary methods, for a large class of potentials, which even includes measure valued potentials. Optimality is achieved by the Coulomb potential. When potentials are smooth enough, our estimates provide some spectral information on the operator.ou
A non-homogeneous Hardy-like inequality has recently been found to be closely related to the knowled...
AbstractWe prove some sharp Hardy-type inequalities related to the Dirac operator by elementary, dir...
Abstract. By expanding squares, we prove several Hardy inequalities with two critical singu-larities...
Abstract. We prove some Hardy type inequalities related to the Dirac operator by elementary methods,...
Abstract. We prove some Hardy type inequalities related to the Dirac operator by elementary methods,...
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...
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 a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain ...
We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain ...
We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain ...
We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain ...
General Hardy-Carleman type inequalities for Dirac operators are proved. New inequalities are derive...
Distinguished selfadjoint extensions of Dirac operators are constructed for a class of potentials in...
A non-homogeneous Hardy-like inequality has recently been found to be closely related to the knowled...
AbstractWe prove some sharp Hardy-type inequalities related to the Dirac operator by elementary, dir...
Abstract. By expanding squares, we prove several Hardy inequalities with two critical singu-larities...
Abstract. We prove some Hardy type inequalities related to the Dirac operator by elementary methods,...
Abstract. We prove some Hardy type inequalities related to the Dirac operator by elementary methods,...
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...
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 a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain ...
We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain ...
We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain ...
We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain ...
General Hardy-Carleman type inequalities for Dirac operators are proved. New inequalities are derive...
Distinguished selfadjoint extensions of Dirac operators are constructed for a class of potentials in...
A non-homogeneous Hardy-like inequality has recently been found to be closely related to the knowled...
AbstractWe prove some sharp Hardy-type inequalities related to the Dirac operator by elementary, dir...
Abstract. By expanding squares, we prove several Hardy inequalities with two critical singu-larities...