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New characterizations for differences of weighted differentiation composition operators from a Bloch-type space to a weighted-type space - MaRDI portal

New characterizations for differences of weighted differentiation composition operators from a Bloch-type space to a weighted-type space (Q1669690)

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scientific article; zbMATH DE number 6931207
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English
New characterizations for differences of weighted differentiation composition operators from a Bloch-type space to a weighted-type space
scientific article; zbMATH DE number 6931207

    Statements

    New characterizations for differences of weighted differentiation composition operators from a Bloch-type space to a weighted-type space (English)
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    3 September 2018
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    In this paper, the author finds several new equivalent characterizations of the boundedness of the differences of weighted differentiation composition operators from Bloch-type spaces to weighted-type spaces. He estimates its essential norm in terms of the \(n\)-th power of the induced analytic self-maps on the unit disk, which can provide a new and simple compactness criterion.
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    differences
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    differentiation
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    composition operator
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    Bloch-type space
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    weighted-type space
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