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Composition operators on Bergman spaces over the punctured plane
Authors:Chiara de Fabritiis
Affiliation:Dipartimento di Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, 60131, Ancona, Italy
Abstract:
We study the spaces of holomorphic functions on the punctured plane which are square integrable with respect to a weight. We determine when these spaces are finite-dimensional and which are composition operators acting on them, studying their cyclicity and hypercyclicity properties.
Keywords:Holomorphic functions   Weighted L2 spaces   Composition operators
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