3 papers
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
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…
math.FA2025
Approximation numbers of differences of composition operators
Frédéric Bayart, Clifford Gilmore, Sibel Sahin
In this study we consider the approximation numbers of differences of composition operators acting on the Hardy-Hilbert space H 2 (D). We obtain both upper and lower bounds for the…