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Title
  • ja 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
    Created2020-12-21 , Issued1986-02-28
Language
  • eng
Resource Type departmental bulletin paper
Version Type VoR
Identifier URI http://hdl.handle.net/10069/32498
Relation
  • isIdenticalTo NAID 40002768757
Journal
    • NCID AN00178280
    • ISSN 0386-443X
      • 長崎大学教育学部自然科学研究報告 = Science bulletin of the Faculty of Education, Nagasaki University 37, 23-29
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Oaidate 2021-02-17