English

Dynamics of the Taylor shift on Bergman spaces

Dynamical Systems 2020-01-10 v1

Abstract

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

Keywords

Cite

@article{arxiv.2001.02952,
  title  = {Dynamics of the Taylor shift on Bergman spaces},
  author = {Jürgen Müller and Maike Thelen},
  journal= {arXiv preprint arXiv:2001.02952},
  year   = {2020}
}