Composition Operators On De Branges-rovnyak Spaces Associated To A Rational (Not Inner) Function
Functional Analysis
2022-11-10 v1
Abstract
In this paper, we characterize the boundedness, the compactness and the Hilbert-Schmidt property for composition operators acting from a de Branges-Rovnyak space into itself, when is a rational function in the closed unit ball of (but not a finite Blaschke product). In particular, we extend some of the results obtained by D. Sarason and J.N. Silva in the context of local Dirichlet spaces.
Cite
@article{arxiv.2211.04864,
title = {Composition Operators On De Branges-rovnyak Spaces Associated To A Rational (Not Inner) Function},
author = {Rim Alhajj and Emmanuel Fricain},
journal= {arXiv preprint arXiv:2211.04864},
year = {2022}
}