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arXiv · 2506.15822

Dynamics for affine composition operators on weighted Bergman space of a half plane

Artur Blois·Osmar R. Severiano
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Abstract

In this article, we completely characterize the positive expansive and absolutely Ces\`aro composition operators $C_{\phi}f=f\circ \phi$ induced by affine self-maps $\phi$ of the right half-plane $\mathbb{C}_+$ on the weighted Bergman space $\mathcal{A}^2_{\alpha}(\mathbb{C}_+)$. Furthermore, we characterize which of these operators have the positive shadowing property.

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Artur Blois, Osmar R. Severiano. 2025-06-18. Dynamics for affine composition operators on weighted Bergman space of a half plane. https://doi.org/10.1007/s00574-025-00491-2

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