English

Commutants of composition operators on function spaces of several complex variables

Functional Analysis 2026-08-01 v1

Abstract

This paper is devoted to an in-depth study of the minimal commutant property for composition operators acting on Hilbert spaces of holomorphic functions in several complex variables, such as the Fock space on Cd\mathbb{C}^d, the Hardy space on the Euclidean ball, and the Hardy space on the unit polydisc.

Cite

@article{arxiv.2608.00448,
  title  = {Commutants of composition operators on function spaces of several complex variables},
  author = {Frédéric Bayart and Maofa Wang and Xingxing Yao},
  journal= {arXiv preprint arXiv:2608.00448},
  year   = {2026}
}