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Closed-range composition operators on \(\mathbb A^2\) - MaRDI portal

Closed-range composition operators on \(\mathbb A^2\) (Q733331)

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scientific article; zbMATH DE number 5615652
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Closed-range composition operators on \(\mathbb A^2\)
scientific article; zbMATH DE number 5615652

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    Closed-range composition operators on \(\mathbb A^2\) (English)
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    15 October 2009
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    The main result of the paper under review is a necessary and sufficient condition for a composition operator on the Bergman class to have closed range. This characterization is applied to the special case of univalent functions. The authors also consider the case of inner functions.
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    composition operators
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    Bergman space
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    inner functions
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    Blaschke products
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