5 papers · 1 filter
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…
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…
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…
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…
Königs maps and commutants of composition operators on the Hardy-Hilbert space of Dirichlet series
Frédéric Bayart, Xingxing Yao
Let be a holomorphic map which is a symbol of a bounded composition operator acting on the Hardy-Hilbert space of Dirichlet series. We find a Königs map for . We t…