Königs maps and commutants of composition operators on the Hardy-Hilbert space of Dirichlet series

Frédéric Bayart, Xingxing Yao

Let $\ddot{I}†$ be a holomorphic map which is a symbol of a bounded composition operator $C_{\ddot{I}}†$ acting on the Hardy-Hilbert space of Dirichlet series. We find a Königs map for $\ddot{I}†$. We t…