Cyclic phenomena for composition operators on weighted Bergman spaces

Abstract

In this article, we study cyclic phenomena on the full range of weighted Bergman spaces on the right half-plane A2α( C+). We completely characterize cyclic and supercyclic composition operators induced by affine self-maps of C+, thereby completing the characterization of all hypercyclic, supercyclic and cyclic composition operators induced by affine symbols on A2α( C+).

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