Weighted composition operators on Fock spaces and their dynamics

[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/).

[发布日期] 2021-10-01

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