Characterization of hypercyclic weighted composition operators on the space of holomorphic functions

Autorzy

Dane publikacji

  • DOI: 10.4064/ap210215-8-9

  • Tom 127

  • Zeszyt 3

  • Czasopismo: Annales Polonici Mathematici

  • Strony: 211-231

  • Data publikacji online: 28.11.2021

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Abstrakt

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.