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arXiv · 1602.05805

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

Ted Eklund·Mikael Lindstrom·Pawel Mleczko
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Abstract

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

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Ted Eklund, Mikael Lindstrom, Pawel Mleczko. 2016-02-18. Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces. https://arxiv.org/abs/1602.05805

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