Weighted composition operators on Fock spaces and their dynamics

DOI10.1016/J.JMAA.2021.125234arXiv1911.07254MaRDI QIDQ6329333

Publication date: 17 November 2019

Abstract: Bounded weighted composition operators, as well as compact weighted composition operators, on Fock spaces have been characterised. This characterisation is refined to the extent that the question of whether weighted composition operators on the Fock space can be supercyclic is answered in the negative.

Mathematics Subject Classification ID

Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16) Bergman spaces and Fock spaces (30H20)

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