Dynamics of the Taylor shift on Bergman spaces
Journal of Operator Theory(2020)
Abstract
The Taylor (backward) shift on Bergman spaces $A^p(\om)$ for general open sets $\om$ 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.
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Key words
Mixing,metric dynamics,topological dynamics
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