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arXiv · 2512.15287

Weighted composition operators on de Branges-Rovnyak spaces

Emmanuel Fricain·Muath Karaki·Javad Mashreghi·Maëva Ostermann
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Abstract

In this paper, we characterize the boundedness and the compactness of weighted composition operators acting on a de Branges-Rovnyak space $\mathcal H(b)$, where the symbol $b$ is a rational function in the unit ball of $H^\infty$ that is not a finite Blaschke product. Our results extend those of [2] by exploiting a close relationship between weighted composition operators on $\mathcal H(b)$ and their counterparts on the Hardy space $H^2$.

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Emmanuel Fricain, Muath Karaki, Javad Mashreghi, Maëva Ostermann. 2025-12-17. Weighted composition operators on de Branges-Rovnyak spaces. https://arxiv.org/abs/2512.15287

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