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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)
塚本 誠  山口大学, 理学部, 助教授 (50173761)
山口 博史  滋賀大学, 教育学部, 教授 (20025406)
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥14,200,000 (Direct Cost: ¥14,200,000)
Fiscal Year 1995: ¥7,000,000 (Direct Cost: ¥7,000,000)
Fiscal Year 1994: ¥7,200,000 (Direct Cost: ¥7,200,000)
Keywordspotential theory / Riemam surface / Kleinian grouy / Value distribution / anformal mapping / Complex function theory / Fanction thery / 多変数解析関数 / 複素多様体 / 関析関数
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.

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (33 results)

All Other

All Publications (33 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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Mizuta: Potential theory in euclidean spaces. Gakkotosho, (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 水田 義弘: "Boundary limits of poly harmonic functions in Sobolev-Orlicz spaces" Complex Variables. 27. 117-131 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 水田 義弘: "A theorgm of Haudy-Littlewood and removability for poly harmonic Junctions satisfying Holders condition" Hiroshima Math. J.25. 215-225 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 増下 誠: "Intrinsic disks on a Riemam surface" Bull. London Math. Soc.27. 371-379 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 吉田 英信: "A type of uniqueness for the Dirichlet problem on a Ralf-space with csntinuous data" Pacific J. Math.(印刷中).

    • Related Report
      1995 Annual Research Report
  • [Publications] 相川 弘明: "Quasiadditirity and measure property of capacity and the tangential boundary beharror of harmonic functions" Trans. Amer. Math. Soc.(印刷中).

    • Related Report
      1995 Annual Research Report
  • [Publications] 前田 文之: "Duality of two balayage space structures and Dirichlet in tegrals on balayage spaces" Potential Analysis. 4. 595-613 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 水田 義弘: "学校図書" Potential theory in euclidean spaces, 341 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] T.Shimomura: "Taylor.expansion of Riesz potentials" Hiroshima Math.J.25. (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] F.-Y.Maeda: "Duality of two balayage space structures and Dirichlet integrals on balayage spaces" Potential Analusis.

    • Related Report
      1994 Annual Research Report
  • [Publications] M.Nakai: "Existence of Dirichlet finite harmonic measures on the unit disc" Nagoya Math.J.138. (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] H.Yoshida: "A type of unigueness for the Dirichlet problem on a half-space with asntiumous data" Pacific J.Math.

    • Related Report
      1994 Annual Research Report
  • [Publications] Y.Mizuta: "A theozem of Hardy-Littewood and removability for palyharmonic functions satisfying Hδ'ldeis condition" Hiroshima Math.J.25. (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] Y.Mizuta: "Tangential limits of monotone Sobolev functions" Ann.Acad.Sci.Fenn.

    • Related Report
      1994 Annual Research Report
  • [Publications] H.Fujimoto: "Nevanlinna theoy for minimal aurfaces of paralolic type" Kodai Math.J.

    • Related Report
      1994 Annual Research Report
  • [Publications] J.Noguchi: "A short analytic proof of cloedness of logarithmicc forms" Kodai Math.J.

    • Related Report
      1994 Annual Research Report
  • [Publications] H.Yamaguchi: "A variation formula for harmoiec modules and its application to several complex variables" Hiroshima Math.J.24. 493-520 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Kato: "Principal transformations between Riemann surfaces" Proc.Japan Acad.Ser.A. 70. 37-40 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] M.Masumoto: "On the moduli set of eontinuations of an open Riemann surface of genus one" J.Analyse Math.63. 287-301 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] S.Mori: "Order of holomorphic curve with maximal deficiency sum for moving targets" Pitman Reserch Notes in Math.Series. 305. 83-94 (1994)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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