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Bounded composition operators from the Bergman space to the Hardy space - MaRDI portal

Bounded composition operators from the Bergman space to the Hardy space (Q2877803)

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scientific article; zbMATH DE number 6334171
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English
Bounded composition operators from the Bergman space to the Hardy space
scientific article; zbMATH DE number 6334171

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    25 August 2014
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    composition operator
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    Bergman space
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    Hardy space
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    Rudin's orthogonal function
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    Nevanlinna counting function
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    bounded composition
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    Bounded composition operators from the Bergman space to the Hardy space (English)
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    Using Rudin's orthogonal functions in the Hardy space of the unit disk, the authors study composition operators from the Bergman space to the Hardy space. In particular, it is shown that there exists no composition operator that maps the Bergman space boundedly onto the Hardy space.
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