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1995 Fiscal Year Final Research Report Summary

Integrated research on potential theory in manifolds

Research Project

Project/Area Number 06302011
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 解析学
Research InstitutionHIROSHIMA UNIVERSITY

Principal Investigator

MIZUTA Yoshihiro  Hiroshima University, Faculty of Int.Arts & Sciences Professor, 総合科学部, 教授 (00093815)

Co-Investigator(Kenkyū-buntansha) FUJIMOTO Hirotaka  Kanazawa University, Faculty of Science Professor, 理学部, 教授 (60023595)
YOSHIDA Hidenobu  Chiba University, Faculty of Science Professor, 理学部, 教授 (60009280)
MORI Seiki  Yamagata University, Faculty of General Education Professor, 教養部, 教授 (80004456)
HATANO Kaoru  Shimane University, Faculty of Education Professor, 教育学部, 教授 (40033873)
KATO Takao  Yamaguchi University, Faculty of Science Professor, 理学部, 教授 (10016157)
Project Period (FY) 1994 – 1995
Keywordspotential theory / Riemam surface / Kleinian grouy / Value distribution / anformal mapping / Complex function theory / Fanction thery
Research Abstract

1.The seminar on potential theory
November 24-26,1994 (at Kawasaki Welfare University)
Novenber 27-29,1995 (at The Lake Okuhamana)
2.The adjoint seminar on Riemann Surfaces and Kleinian Groups
December 6-7,1994 (at The Library of Yamagata)
November 16-17,1995 (at Yamaguti University)
3.The adjoint seminar on Value Distribution and Conformal Mappings
December 8-9,1994 (at The Library of Yamagata)
November 14-15,1995 (at Yamaguti University)
4.The seminar on Complex Function Theory
September 15-18,1994 (at Kyusyu University)
December 23-25,1994 (at Toyama University)
5.The seminar on Symmetrization
November 17-19,1994 (at Gakusyuin University)
The seminar on Function Theory
January 26-27,1996 (Hiroshima University)
In these seminars, there were good and useful discussions to solve many problems concerning these areas.

  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] 水田義弘: "Boundary limits of poly harmonic functions in Soblev-Orlicz spaces" Complex Variables. 27. 117-131 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 水田義弘: "A theorem of Hardy-Littlewood and removability for poly harmonic Junctions satisfying Holder's condition" Hiroshima Math. J.25. 215-225 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 増本誠: "Intrinsic disks on a Riemann surface" Bull. London Math. Soc.27. 371-379 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 吉田英信: "A type of uniqueness for the Dirichlet problem on a half-space with continuous data" Pacific J. Math.(印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 相川弘明: "Quasiadditivity and measure property of capacity and the tangential boundary beharror of harmonic functions" Trans. Amer. Math. Soc.(印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 前田文之: "Duality of two balayage space structures and Dirichlet integrals on balayage spaces" Potential Analysis. 4. 595-613 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 水田義弘: "学校図書" Potential theory in euclidean spaces, 341 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Mizuta: "Boundary limits of polyharmonic functions in Sobolev-Orlicz spaces" Complex Variables. 27. 117-131 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Mizuta: "A Theorem of Hardy-Littlewood and removability for polyharmonic functions satisying Holder's condition" Hiroshima Math.J.25. 215-225 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Masumoto: "Intrinsic disks on a Riemann surface" Bull.London Math.Soc.27. 371-379 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Yoshida: "A type of uniqueness for the Dirichlet problem on a half-space with continuous data" Pacific J.Math.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Aikawa: "Quasiadditivity and measure property of capacity and the tangential boundary behavior of harmonic functions" Trans.Amer.Math.Soc.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] F.Maeda: "Duality of two vbalayage space structure and Dirichlet integrals on balyayage spaces" Potential Analysis. 4. 595-613 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Mizuta: Potential theory in euclidean spaces. Gakkotosho, (1996)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1997-03-04  

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