Bounded holomorphic function with some boundary behavior in the unit ball of \(\mathbb{C}^n\) (Q5952850)
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scientific article; zbMATH DE number 1690449
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounded holomorphic function with some boundary behavior in the unit ball of \(\mathbb{C}^n\) |
scientific article; zbMATH DE number 1690449 |
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Bounded holomorphic function with some boundary behavior in the unit ball of \(\mathbb{C}^n\) (English)
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10 October 2002
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The following result is established: Let \(E\) be an arbitrary discrete subset of the unit sphere in \(\mathbb{C}^n\). Then there exists a bounded holomorphic function in the unit ball whose radial cluster set at each point of \(E\) contains a closed disk of positive radius.
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radial limits
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bounded holomorphic function
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