Abstract
Let $\mathcal{A}$ be the set of automorphisms of the unit disk with $1$ as attractive fixed point. We prove that there exists a single Blaschke product that is universal for every composition operator $C_\phi$, $\phi\in\mathcal{A}$, acting on the unit ball of $H^\infty(\mathbb{D})$.
Citation
Frédéric Bayart. Sophie Grivaux. Raymond Mortini. "Common bounded universal functions for composition operators." Illinois J. Math. 52 (3) 995 - 1006, Fall 2008. https://doi.org/10.1215/ijm/1254403727
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