English

Weighted composition operators between different Fock spaces

Complex Variables 2017-04-13 v1

Abstract

We study weighted composition operators acting between Fock spaces. The following results are obtained: (1) Criteria for the boundedness and compactness; (2) Characterizations of compact differences and essential norm; (3) Complete descriptions of path connected components and isolated points of the space of composition operators and the space of nonzero weighted composition operators.

Keywords

Cite

@article{arxiv.1704.03752,
  title  = {Weighted composition operators between different Fock spaces},
  author = {Pham Trong Tien and Le Hai Khoi},
  journal= {arXiv preprint arXiv:1704.03752},
  year   = {2017}
}
R2 v1 2026-06-22T19:15:39.246Z