Some applications of interpolating sequences for Banach spaces of analytic functions
Abstract
M. J. Beltrán-Meneua et al. \cite{beltran1} and E. Jordá and A. Rodríguez-Arenas \cite{jorda} characterized the (uniformly) mean ergodic composition operators on $H^\infty(\mathbb{D})$ and $H^\infty_\nu (\mathbb{D})$, respectively. In this paper, by using the interpolating sequences, we give other necessary and sufficient conditions for the (uniformly) mean ergodicity of composition operators on these spaces.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2020
- DOI:
- arXiv:
- arXiv:2010.06951
- Bibcode:
- 2020arXiv201006951K
- Keywords:
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- Mathematics - Functional Analysis;
- Mathematics - Complex Variables
- E-Print:
- 9 pages, any comments/addition would be appreciated