# Journal of Operator Theory

Volume 87, Issue 1, Winter 2022  pp. 25-40.

Dynamics of the Taylor shift on Bergman spaces

Authors:  Jurgen Muller (1), Maike Thelen (2)
Author institution:(1) FB IV, Mathematics, University of Trier, D-54286 Trier, Germany
(2) FB IV, Mathematics, University of Trier, D-54286 Trier, Germany

Summary: The Taylor (backward) shift on Bergman spaces $A^p(\Omega)$ for general open sets $\Omega$ in the extended complex plane shows rich variety concerning its dynamical behaviour. Different aspects are worked out, where in the case $p<2$ a recent result of Bayart and Matheron plays a central role.

DOI: http://dx.doi.org/10.7900/jot.2019sep05.2324
Keywords: mixing, metric dynamics, topological dynamics