Nevanlinna classes for non radial weights in the unit disc. Applications
Abstract
We introduce Nevanlinna classes associated to non radial weights in the unit disc in the complex plane and we get Blaschke type theorems relative to these classes by use of several complex variables methods. This gives alternative proofs and improve some results of Boritchev, Golinski and Kupin useful, in particular, for the study of eigenvalues of non self adjoint Schrödinger operators.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2017
- DOI:
- arXiv:
- arXiv:1703.00283
- Bibcode:
- 2017arXiv170300283A
- Keywords:
-
- Mathematics - Complex Variables
- E-Print:
- The second part of version 1 is removed because I posted an improved one: "Nevanlinna classes associated to a closed set on the partial derivative of D". Also some typos and inacuracies were corrected