Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces
Functional Analysis
2016-02-19 v1
Abstract
The spectra of invertible weighted composition operators 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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Cite
@article{arxiv.1602.05805,
title = {Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces},
author = {Ted Eklund and Mikael Lindstrom and Pawel Mleczko},
journal= {arXiv preprint arXiv:1602.05805},
year = {2016}
}
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17 pages