Weighted composition operators on de Branges-Rovnyak spaces
Complex Variables
2025-12-18 v1 Functional Analysis
Abstract
In this paper, we characterize the boundedness and the compactness of weighted composition operators acting on a de Branges-Rovnyak space , where the symbol is a rational function in the unit ball of that is not a finite Blaschke product. Our results extend those of [2] by exploiting a close relationship between weighted composition operators on and their counterparts on the Hardy space .
Cite
@article{arxiv.2512.15287,
title = {Weighted composition operators on de Branges-Rovnyak spaces},
author = {Emmanuel Fricain and Muath Karaki and Javad Mashreghi and Maëva Ostermann},
journal= {arXiv preprint arXiv:2512.15287},
year = {2025}
}