Bibloch mappings and composition operators from Bloch type spaces to BMOA (Q549763)

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scientific article; zbMATH DE number 5925557
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Bibloch mappings and composition operators from Bloch type spaces to BMOA
scientific article; zbMATH DE number 5925557

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    Bibloch mappings and composition operators from Bloch type spaces to BMOA (English)
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    18 July 2011
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    The paper constructs analytic functions \(f_1\) and \(f_2\) on the unit disk \(\mathbb D\) such that \[ |f_1'(z)|+|f_2'(z)|\sim\psi\left(1\over{1-|z|}\right) \] for a wide class of weight functions \(\psi\). As applications, several known results about Bloch-BMO pullbacks are generalized.
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    Bloch functions
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    BMOA
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    normal weights
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    BiBloch functions
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    pullback
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