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Isometric and closed-range composition operators between Bloch-type spaces - MaRDI portal

Isometric and closed-range composition operators between Bloch-type spaces (Q554779)

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scientific article; zbMATH DE number 5930192
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Isometric and closed-range composition operators between Bloch-type spaces
scientific article; zbMATH DE number 5930192

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    Isometric and closed-range composition operators between Bloch-type spaces (English)
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    22 July 2011
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    Summary: We present an overview of the known results describing the isometric and closed-range composition operators on different types of holomorphic function spaces. We add new results and give a complete characterization of isometric univalently induced composition operators acting between Bloch-type spaces. We also add some results on the closed-range determination of composition operators on Bloch-type spaces and present problems that are still open.
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    isometric composition operators
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    holomorphic function spaces
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    Bloch-type spaces
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