Characterization of hypercyclic weighted composition operators on the space of holomorphic functions
Volume 127 / 2021
Annales Polonici Mathematici 127 (2021), 211-231
MSC: Primary 47B33; Secondary 47A16.
DOI: 10.4064/ap210215-8-9
Published online: 29 November 2021
Abstract
We characterize hypercyclic weighted composition operators acting on the Fréchet space of all holomorphic functions $H(\Omega )$. In particular we show that such operators exist when $\Omega $ is the punctured plane or the punctured disc.
