Abstract
Let $\varphi$ be a holomorphic self-map of the unit disk $\mathbb{U}:=\{z\in \mathbb{C}: |z| < 1\}$, and the composition operator with symbol $\varphi$ is defined by $C_\varphi f=f \circ \varphi.$ In this paper we present formula for the adjoint of composition operators in some Hilbert spaces of analytic functions, in the case that $\varphi$ is a finite Blaschke product or a rational univalent holomorphic self-map of the unit disk $\mathbb{U}$.
Citation
A. Abdollahi. S. Mehrangiz. T. Roientan. "Adjoint of some composition operators on the Dirichlet and Bergman spaces." Bull. Belg. Math. Soc. Simon Stevin 22 (1) 59 - 69, march 2015. https://doi.org/10.36045/bbms/1426856858
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