English

Weighted composition operators on Fock spaces and their dynamics

Functional Analysis 2021-04-26 v3

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.

Keywords

Cite

@article{arxiv.1911.07254,
  title  = {Weighted composition operators on Fock spaces and their dynamics},
  author = {Tom Carroll and Clifford Gilmore},
  journal= {arXiv preprint arXiv:1911.07254},
  year   = {2021}
}

Comments

Version accepted for publication in J. Math. Anal. Appl

R2 v1 2026-06-23T12:18:24.667Z