Commutants of composition operators on function spaces of several complex variables

2026/08/01 by Frédéric Bayart, Maofa Wang, Xingxing Yao
Mathematics · #math.FA #msc:47B33 #msc:46E15

paper · pdf

arxiv created 2026/08/01 · arxiv updated 2026/08/04

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 ℂ^d, the Hardy space on the Euclidean ball, and the Hardy space on the unit polydisc.

Citations

• Königs maps and commutants of composition operators on the Hardy-Hilbert space of Dirichlet series
• Minimal commutant and double commutant property for analytic Toeplitz operators
• Cyclicity of composition operators on the Fock space