Norms and spectral radii of composition operators acting on the Dirichlet space (Q1772281)
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scientific article; zbMATH DE number 2157551
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Norms and spectral radii of composition operators acting on the Dirichlet space |
scientific article; zbMATH DE number 2157551 |
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Norms and spectral radii of composition operators acting on the Dirichlet space (English)
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18 April 2005
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The authors obtain new upper bounds on the norms of univalently induced composition operators acting on the Dirichlet space and they compute explicity the norms for univalent symbols whose range is the disk minus a set of measure zero. As an application, they show that the spectral radius of every univalently induced composition operator on the Dirichlet space is equal to one.
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Dirichlet space
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composition operator
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operator norm
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spectral radius
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hyperbolic metric
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