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Title
  • Pluriharmonic Functions on a Domain over a Product Space
Creator

Adachi, Kenzo

Fukushima, Yukio

Watanabe, Kiyoshi

Description
Other
  • 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.
Other
  • identifier:長崎大学教育学部自然科学研究報告. vol.37, p.23-29; 1986
Publisher長崎大学教育学部
Date Issued 1986-02-28
Languageeng
NIItypedepartmental bulletin paper
VersiontypeVoR
Identifier URI http://hdl.handle.net/10069/32498
Relation
  • isIdenticalTo NAID 40002768757
Journal
    • ISSN 0386-443X
    • 長崎大学教育学部自然科学研究報告
    37, 23-29
File
Oaidate2013-06-27T14:15:46Z