Supercyclicity and Resolvent Condition for Weighted Composition Operators

نویسندگان

چکیده

For pairs of holomorphic maps $(u,\psi)$ on the complex plane, we study some dynamical properties weighted composition operator $W_{(u,\psi)}$ Fock spaces. We prove that no spaces is supercyclic. Conditions under which operators satisfy Ritt's resolvent growth condition are also identified. In particular, show a non-trivial satisfies such if and only it compact.

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ژورنال

عنوان ژورنال: Computational Methods and Function Theory

سال: 2021

ISSN: ['2195-3724', '1617-9447']

DOI: https://doi.org/10.1007/s40315-021-00380-x