Path components of the space of (weighted) composition operators on Bergman spaces (Q829792)
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scientific article; zbMATH DE number 7345250
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Path components of the space of (weighted) composition operators on Bergman spaces |
scientific article; zbMATH DE number 7345250 |
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Path components of the space of (weighted) composition operators on Bergman spaces (English)
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6 May 2021
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The paper studies the topological structure (connectedness and path connectedness to be specific) of the set of (weighted) composition operators on weighted Bergman spaces \(A^p_\alpha\) of the unit disk, where \(p>0\) and \(\alpha>-1\). A condition is found for two composition operators to be linearly connected in the set. Another result shows that the set of compact composition operators is connected but not a component.
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composition operators
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Bergman spaces
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connected components
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