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A note on traces of some holomorphic spaces on polyballs - MaRDI portal

A note on traces of some holomorphic spaces on polyballs (Q614186)

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scientific article; zbMATH DE number 5829469
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A note on traces of some holomorphic spaces on polyballs
scientific article; zbMATH DE number 5829469

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    A note on traces of some holomorphic spaces on polyballs (English)
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    27 December 2010
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    Summary: We study a new trace problem for functions holomorphic on polyballs which generalize a known diagonal map problem for polydisk. Also, we give descriptions of traces for several concrete functional classes on polyballs defined with the help of area operator or Bergman metric ball.
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    holomorphic function
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    polyball
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    weighted Bergman space
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    Bergman metric ball
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    area operator
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    fractional derivative
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    trace problem
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