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Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces

Ted Eklund; Mikael Lindström; Paweł Mleczko — 2016

Studia Mathematica

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

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