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Closures of Hardy and Hardy-Sobolev spaces in the Bloch type space on the unit ball - MaRDI portal

Closures of Hardy and Hardy-Sobolev spaces in the Bloch type space on the unit ball (Q722269)

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scientific article; zbMATH DE number 6909445
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English
Closures of Hardy and Hardy-Sobolev spaces in the Bloch type space on the unit ball
scientific article; zbMATH DE number 6909445

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    Closures of Hardy and Hardy-Sobolev spaces in the Bloch type space on the unit ball (English)
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    23 July 2018
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    There have been several papers in the literature concerning of the closure in BMOA or in the Bloch space of various subsets. The present paper gives a characterization of the norm closure in the \(\alpha\)-Bloch space of its subset of Hardy-Sobolev functions. This is done in the setting of the open unit ball in \(\mathbb C^n\).
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    Bloch space
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    BMO
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    Hardy-Sobolev spaces
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