Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces (Q2804311)
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scientific article; zbMATH DE number 6575025
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces |
scientific article; zbMATH DE number 6575025 |
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Spectral properties of weighted composition operators on the Bloch and Dirichlet spaces (English)
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28 April 2016
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weighted composition operator
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spectrum
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multiplier space
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automorphism
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Bloch space
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Dirichlet space
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The authors study the spectra of invertible weighted composition operators on Bloch and Dirichlet spaces. These operators have the form \(f\mapsto u \cdot (f\circ\phi)\), where \(\phi\) is an automorphism of \(\mathbb D\) and \(u\) is a multiplier for these spaces which is bounded away from zero. As usual, one has to distinguish between elliptic, hyperbolic and parabolic automorphisms. There remain several open problems here.
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