Weighted composition operators on de Branges-Rovnyak spaces
Abstract
In this paper, we characterize the boundedness and the compactness of weighted composition operators acting on a de Branges-Rovnyak space H(b), where the symbol b is a rational function in the unit ball of H∞ that is not a finite Blaschke product. Our results extend those of [2] by exploiting a close relationship between weighted composition operators on H(b) and their counterparts on the Hardy space H2.
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