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

Abstract

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

References in corpus (5)

• Composition operators on Hardy spaces of a half plane
• Li-Yorke Chaos for Composition Operators on $L^p$-Spaces
• Spectra of linear fractional composition operators on the Hardy and weighted Bergman spaces of the half-plane
• Complex symmetry of linear fractional composition operators on a half-plane
• Dynamical properties for composition operators on $H^2({\mathbb{C}}_{+})$