Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces
Abstract
The spectra of invertible weighted composition operators uC on the Bloch and Dirichlet spaces are studied. In the Bloch case we obtain a complete description of the spectrum when is a parabolic or elliptic automorphism of the unit disc. In the case of a hyperbolic automorphism , exact expressions for the spectral radii of invertible weighted composition operators acting on the Bloch and Dirichlet spaces are derived.
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