Compact intertwining relations for composition operators between the weighted Bergman spaces and the weighted Bloch spaces (Q2870479)
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scientific article; zbMATH DE number 6248010
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact intertwining relations for composition operators between the weighted Bergman spaces and the weighted Bloch spaces |
scientific article; zbMATH DE number 6248010 |
Statements
21 January 2014
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composition operator
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Volterra operator
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intertwining properties
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Bloch space
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Bergman space
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essentially commuting operators
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Compact intertwining relations for composition operators between the weighted Bergman spaces and the weighted Bloch spaces (English)
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The paper is concerned with relations between composition operators and Volterra operators on weighted Bloch and Bergman spaces on the disk. One of the problems dealt with is the following: under which conditions is \(V_gC_\phi-C_\phi V_g\) compact? Here, \(V_g\) is one of the Volterra operators \(I_gf(z)=\int_0^z f'(\xi)g(\xi)\,d\xi\) or \(J_gf(z)=\int_0^z f(\xi)g'(\xi)\,d\xi\).
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