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math.FA2026
Commutants of composition operators on function spaces of several complex variables
Frédéric Bayart, Maofa Wang, Xingxing Yao
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 variable…
math.FA2026
On the dynamics of composition operators: supercyclicity, odometers and translations
Frédéric Bayart, Etienne Matheron
We study the dynamical properties of composition operators acting on Banach spaces of measurable functions. In particular, we study in some detail the composition operators induced…
math.FA2026
Composition operators on weighted Bergman spaces of the polydisc
Frédéric Bayart, Anne Dorval
We study composition operators between weighted Bergman spaces of the polydisc induced by smooth symbols. We prove a general result of continuity which only involves the behaviour…