Weighted composition operators on Fock spaces and their dynamics

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:502

Article

Carroll, Tom¹  Gilmore, Clifford¹ 

[1] Univ Coll Cork, Sch Math Sci, Cork, Ireland

关键词: Fock spaces;    Weighted composition operators;    Boundedness;    Compactness;    Supercyclic;    Linear dynamics;   

DOI  :  10.1016/j.jmaa.2021.125234

来源: Elsevier

【 摘 要 】

Bounded weighted composition operators, as well as compact weighted composition operators, on Fock spaces have been characterised. This characterisation is refined in terms of the order and type of the multiplier, and a complete description of zerofree multipliers is obtained. Explicit asymptotics for iterates of such operators are given. As an application, the question of whether weighted composition operators on the Fock space can be supercyclic is answered in the negative. (c) 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

【 授权许可】

Free