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Pluriharmonic Functions on a Domain over a Product Space


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Title: Pluriharmonic Functions on a Domain over a Product Space
Authors: Adachi, Kenzo / Fukushima, Yukio / Watanabe, Kiyoshi
Issue Date: 28-Feb-1986
Publisher: 長崎大学教育学部
Citation: 長崎大学教育学部自然科学研究報告. vol.37, p.23-29; 1986
Abstract: Let D be a domain over a product space of a Stein manifold S and Grassmann manifolds G1 (i=1,2,...,N) and D be the envelope of holomorphy of D. In this paper we shall show that each real-valued pluriharmonic function on D is the real part of a holomorphic function on D if and only if H1 (D, Z)=0, provided that D is not holomorphically equivalent to the set E×V1×...×Vi-1×G1×Vi+1×...×VN (i=1,...,N), where E is an open set of S and Vi is an open set of Gi.
URI: http://hdl.handle.net/10069/32498
ISSN: 0386443X
Type: Departmental Bulletin Paper
Text Version: publisher
Appears in Collections:No. 37

Citable URI : http://hdl.handle.net/10069/32498

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