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Kodai Mathematical Journal
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Kodai Mathematical Journal
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Bounded holomorphic function with some boundary behavior in the unit ball of {$\bold C\sp n$}

Bounded holomorphic function with some boundary behavior in the unit ball of \(\mathbb{C}^n\)
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2001Publisher:Tokyo Institute of Technology, Department of MathematicsJournal:Kodai Mathematical Journal, volume 24 (issn: 0386-5991, Copyright policy )
Authors: Matsushima, Toshio;

doi: 10.2996/kmj/1106168788

Bounded holomorphic function with some boundary behavior in the unit ball of {$\bold C\sp n$}

Abstract

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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Keywords

32A40, radial limits, bounded holomorphic function, Boundary behavior of holomorphic functions of several complex variables

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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