NDLI: Bounded Holomorphic Functions of Several Complex Variables. I

Content Provider	Scilit
Author	Kim, Dong Sie
Copyright Year	1971
Description	A domain of bounded holomorphy in a complex analytic manifold is a maximal domain for which every bounded holomorphic function has a bounded analytic continuation. In this paper, we show that this is a local property: if, for each boundary point of a domain, there exists a bounded holomorphic function which cannot be continued to any neighborhood of the point, then there exists a single bounded holomorphic function which cannot be continued to any neighborhood of the boundary points.
Related Links	http://www.ams.org/tran/1971-158-02/S0002-9947-1971-0280736-2/S0002-9947-1971-0280736-2.pdf
Ending Page	443
Page Count	7
Starting Page	437
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/1995915
Journal	Transactions of the American Mathematical Society
Issue Number	2
Volume Number	158
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Ringed Space Analytic Continuation Spectrum Several Complex Variables
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Bounded Holomorphic Functions of Several Complex Variables. I