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arXiv · 2606.10999

Cyclic phenomena for composition operators on weighted Bergman spaces

Artur Blois
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Abstract

In this article, we study cyclic phenomena on the full range of weighted Bergman spaces on the right half-plane $\mathcal{A}^{2}_{\alpha}(\mathbb C_{+}).$ We completely characterize cyclic and supercyclic composition operators induced by affine self-maps of $\mathbb C_+,$ thereby completing the characterization of all hypercyclic, supercyclic and cyclic composition operators induced by affine symbols on $\mathcal{A}^{2}_{\alpha}(\mathbb C_{+}).$

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Artur Blois. 2026-06-09. Cyclic phenomena for composition operators on weighted Bergman spaces. https://arxiv.org/abs/2606.10999

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