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Research on ideal boundaries of open Riemann surfaces

Research Project

Project/Area Number 17540178
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionDaido Institute of Technology

Principal Investigator

TADA Toshimasa  Daido Institute of Technology, Liberal Arts and Sciences, Professor, 教養部, 教授 (90105635)

Co-Investigator(Kenkyū-buntansha) SEGAWA Shigeo  Daido Institute of Technology, Liberal Arts and Sciences, Professor, 教養部, 教授 (80105634)
UEDA Hideharu  Daido Institute of Technology, Liberal Arts and Sciences, Professor, 教養部, 教授 (20139968)
NARITA Junichirou  Daido Institute of Technology, Liberal Arts and Sciences, Professor, 教養部, 教授 (30189211)
FUTAMURA Toshiide  Daido Institute of Technology, Liberal Arts and Sciences, Associate Professor, 教養部, 講師 (90387605)
NAKAI Mitsuru  Nagoya Institute of Technology, Professor emeritus, 名誉教授 (10022550)
Project Period (FY) 2005 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 2006: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsPicard dimension / basic perturbation / capacity inequality / type problem for covering surfaces / bounden harmonic functions / Lebesgue space with variable exponents / unicity theorem for meromorphic functions / interpolating sequence / 定常シュレーディンガー方程式 / 双曲性 / 優調和性 / ミニマルマルチン境界
Research Abstract

Martin ideal boundaries. Nakai and Tada showed that that the Picard dimensions of hyperbolic radial Radon measures are invariant under basic perturbations. Nakai and Tada showed the growth invariance of the hyperbolicity for hyperbolic signed Kato measures and the contraction invariance of the hyperbolicity for hyperbolic signed Holder measures. Imai gave a condition for signed kato measures to be non elliptic type. Royden ideal boundaries. Nakai studied on capacities considered in the complex sphere and a covering surface obtained by pasting the complex sphere with its copy crosswise along a pasting arc. He established the capacity inequality. He also derived a variational formula for the capacity and showed that the capacity changes smoothly as one branch point of the arc moves in the subsurface. Boundary behavior of harmonic functions. Segawa proved that there exists no unbounded positive harmonic functions on hyperbolic Riemann surface if and only if the minimal Martin boundary of the surface consists of finitely many points with positive harmonic measure. Nakai and Segawa gave sufficient conditions for a covering surface obtained by pasting the complex sphere with its copies crosswise along a pasting arcs to equivalent with the complex plane. Futamura characterized ranges of bounded maximal operators of Lebesgue spaces with variable exponents. Value distribution theory of meromorphic functions. Ueda gave that two unicity theorems for nonconstant meromorphic functions in the whole complex plane that share one set and two values in some sense. Point separation by bounded analytic functions and theory of function algebra. Narita described two sufficient conditions when harmonic interpolating sequences do not coincide. He also gave an example of domain and a sequence, which is a harmonic interpolating sequence, but not an interpolating sequence.

Report

(3 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • Research Products

    (77 results)

All 2006 2005 Other

All Journal Article (77 results)

  • [Journal Article] Maximal functions for Lebesgue spaces with variable exponent approaching 12006

    • Author(s)
      T.Futamura
    • Journal Title

      Hiroshima Math. J. 36・1

      Pages: 23-28

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Continuity of weakly monotone Sobolev functions of variable exponent2006

    • Author(s)
      T.Futamura
    • Journal Title

      Advanced Studies in Pure Mathematics, Potential Theory in Matsue 44

      Pages: 127-143

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Sobolev embeddings for variable exponent Riesz potentials on metric spaces2006

    • Author(s)
      T.Futamura
    • Journal Title

      Ann. Acad. Sci. Fenn. Math. 31

      Pages: 495-522

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Sobolev embeddings for Riesz potential space of variable exponent2006

    • Author(s)
      T.Futamura
    • Journal Title

      Math. Nachr. 279・13-14

      Pages: 1463-1473

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Hyperbolic Riemann surfaces without unbounded positive harmonic functions2006

    • Author(s)
      H.Masaoka
    • Journal Title

      Advanced Studies in Pure Mathematics, Potential Theory in Matsue 44

      Pages: 227-232

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Types of pasting arcs in two sheeted spheres2006

    • Author(s)
      M.Nakai
    • Journal Title

      Advanced Studies in Pure Mathematics, Potential Theory in Matsue 44

      Pages: 291-304

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Existence of supercritical pasting arcs for two sheeted spheres2006

    • Author(s)
      M.Nakai
    • Journal Title

      Kaodai Math. J. 29・2

      Pages: 163-169

    • NAID

      130004948948

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Growth and contraction invariance of hyperbolicity2006

    • Author(s)
      M.Nakai
    • Journal Title

      Bull. Daido. Inst. Tech. 42

      Pages: 17-21

    • NAID

      110006425597

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Maximal functions for Lebesgue spaces with variable exponent approaching 12006

    • Author(s)
      T.Futamura
    • Journal Title

      Hiroshima Math.J. vol.36-1

      Pages: 23-28

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Continuity of weakly monotone Sobolev functions of variable exponent2006

    • Author(s)
      T.Futamura
    • Journal Title

      Advanced Studies in Pure Math., Potential Theory in Matsue vol.44

      Pages: 127-143

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Sobolev embeddings for variable exponent Riesz potentials on metric spaces2006

    • Author(s)
      T.Futamura
    • Journal Title

      Ann.Acad.Sci.Fenn.Math. vol.31

      Pages: 495-522

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Sobolev embeddings for Riesz potential space of variable exponent2006

    • Author(s)
      T.Futamura
    • Journal Title

      Math.Nachr. vol.279-13-14

      Pages: 1463-1473

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Hyperbolic Riemann surfaces without unbounded positive harmonic functions2006

    • Author(s)
      H.Masaoka
    • Journal Title

      Advanced Studies in Pure Math., Potential Theory in Matsue vol.44

      Pages: 227-232

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Types of pasting arcs in two sheeted spheres2006

    • Author(s)
      M.Nakai
    • Journal Title

      Advanced Studies in Pure Math., Potential Theory in Matsue vol.44

      Pages: 291-304

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Existence of supercritical pasting arcs for two sheeted spheres2006

    • Author(s)
      M.Nakai
    • Journal Title

      Kaodai Math.J. vol.29-2

      Pages: 163-169

    • NAID

      130004948948

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Growth and contraction invariance of hyperbolicity2006

    • Author(s)
      M.Nakai
    • Journal Title

      Bull.Daido.Inst.Tech. vol.42

      Pages: 17-21

    • NAID

      110006425597

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Maximal functions for Lebesgue spaces with variable exponent approaching 12006

    • Author(s)
      T.Futamura
    • Journal Title

      Hiroshima Math.J. 36・1

      Pages: 23-28

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Sobolev embeddings for variable exponent Riesz potentials on metric spaces2006

    • Author(s)
      T.Futamura
    • Journal Title

      Ann.Acad.Sci.Fenn.Math. 31

      Pages: 495-522

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Sobolev embeddings for Riesz potential space of variable exponent2006

    • Author(s)
      T.Futamura
    • Journal Title

      Math.Nachr. 279・13-14

      Pages: 1463-1473

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Existence of supercritical pasting arcs for two sheeted spheres2006

    • Author(s)
      M.Nakai
    • Journal Title

      Kaodai Math.J. 29・2

      Pages: 163-169

    • NAID

      130004948948

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Growth and contraction invariance of hyperbolicity2006

    • Author(s)
      M.Nakai
    • Journal Title

      Bull.Daido.Inst.Tech. 42

      Pages: 17-21

    • NAID

      110006425597

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Growth properties of p-th means of biharmonic Green potentials in the unit ball2005

    • Author(s)
      T.Futamura
    • Journal Title

      Osaka J. Math. 42・1

      Pages: 85-99

    • NAID

      120005986893

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Boundary behavior of monotone Sobolev functions on John domains in a metric space2005

    • Author(s)
      T.Futamura
    • Journal Title

      Complex Variables 50・6

      Pages: 441-451

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary 2005 Annual Research Report
  • [Journal Article] Continuity of weakly monotone Sobolev functions2005

    • Author(s)
      T.Futamura
    • Journal Title

      Math. Sci. Appl. 15・2

      Pages: 571-585

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Continuity properties of Riesz potentials for functions in L^<P(・)> of variable expo-nent2005

    • Author(s)
      T.Futamura
    • Journal Title

      Math. Inequal. Appl. 8・4

      Pages: 619-631

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Quasiconformal mappings and minimal Martin boundary of p-sheeted unlimited covering surfaces of the complex plane2005

    • Author(s)
      H.Masaoka
    • Journal Title

      Kodai Math. J. 28・2

      Pages: 275-279

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Heins problem on harmonic dimensions2005

    • Author(s)
      M.Nakai
    • Journal Title

      Kodai Math. J. 28・2

      Pages: 310-327

    • NAID

      130003574493

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Harmonic Liouville Theorem for Exterior Domains Revisited2005

    • Author(s)
      M.Nakai
    • Journal Title

      Far East J. Math. Sci. 18・1

      Pages: 1-9

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Dependance of Dirichlet integrals upon lumps of Riemann surfaces2005

    • Author(s)
      M.Nakai
    • Journal Title

      Proc. Japan Acad., Ser. A 81・7

      Pages: 131-133

    • NAID

      40007047473

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] シュレーディンガー作用素のグリーン関数2005

    • Author(s)
      中井三留
    • Journal Title

      大同工業大学紀要 41

      Pages: 1-6

    • NAID

      110004814003

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Plane domains with harmonic interpolating sequences which are not interpolat-ing sequences2005

    • Author(s)
      J.Narita
    • Journal Title

      Kodai Math. J. 28・2

      Pages: 328-335

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Meromorphic functions that share one set and two values in some sense2005

    • Author(s)
      H.Ueda
    • Journal Title

      Bull. Daido. Inst. Tech. 41

      Pages: 7-18

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Growth properties of p-th means of biharmonic Green potentials in the unit ball2005

    • Author(s)
      T.Futamura
    • Journal Title

      Osaka J.Math. vol.42-1

      Pages: 85-99

    • NAID

      120005986893

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Boundary behavior of monotone Sobolev functions on John domains in a metric space2005

    • Author(s)
      T.Futamura
    • Journal Title

      Complex Variables vol.50-6

      Pages: 441-451

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Continuity of weakly monotone Sobolev functions2005

    • Author(s)
      T.Futamura
    • Journal Title

      Adv.Math.Sci.Appl. vol.15-2

      Pages: 571-585

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Continuity properties of Riesz potentials for functions in L^<P(-)> of variable exponent2005

    • Author(s)
      T.Futamura
    • Journal Title

      Math.Inequal.Appl. vol.8-4

      Pages: 619-631

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Quasiconformal mappings and minimal Martin boundary of p-sheeted unlimited covering surfaces of the complex plane2005

    • Author(s)
      H.Masaoka
    • Journal Title

      Kodai Math.J. vol.28-2

      Pages: 275-279

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Heins problem on harmonic dimensions2005

    • Author(s)
      M.Nakai
    • Journal Title

      Kodai Math.J. Vol.28-2

      Pages: 310-327

    • NAID

      130003574493

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Harmonic Liouville Theorem for Exterior Do- mains Revisited2005

    • Author(s)
      M.Nakai
    • Journal Title

      Far East J.Math.Sci. vol.18-1

      Pages: 1-9

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Dependance of Dirichlet integrals upon lumps of Riemann surfaces2005

    • Author(s)
      M.Nakai
    • Journal Title

      Proc.Japan Acad., Ser.A vol.81-7

      Pages: 131-133

    • NAID

      40007047473

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Green functions of Schrodinger operators2005

    • Author(s)
      M.Nakai
    • Journal Title

      Bull.Daido Inst.Tech. vol.41

      Pages: 1-6

    • NAID

      110004814003

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Plane domains with harmonic interpolating sequences which are not interpolating sequences2005

    • Author(s)
      J.Narita
    • Journal Title

      Kodai Math.J. vol.28-2

      Pages: 328-335

    • NAID

      130003574494

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Meromorphic functions that share one set and two values in some sense2005

    • Author(s)
      H.Ueda
    • Journal Title

      Bull.Daido.Inst.Tech. vol.41

      Pages: 7-18

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Dependance of Dirichlet integrals upon lumps of Riemann surfaces2005

    • Author(s)
      M.Nakai
    • Journal Title

      Proc.Japan Acad., Ser.A 81

      Pages: 131-133

    • NAID

      40007047473

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Types of pasting arcs in two sheeted spheres2005

    • Author(s)
      M.Nakai
    • Journal Title

      Advanced Studies in Pure Mathematics, Potential Theory in Matsue (掲載決定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Heins problem on harmonic dimensions2005

    • Author(s)
      M.Nakai
    • Journal Title

      Kodai Math.J. 28・2

      Pages: 310-327

    • NAID

      130003574493

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Harmonic Liouville Theorem for Exterior Domains Revisited2005

    • Author(s)
      M.Nakai
    • Journal Title

      Far East J.Math.Sci. 18・1

      Pages: 1-9

    • Related Report
      2005 Annual Research Report
  • [Journal Article] シュレーデインガー作用素のグリーン関数2005

    • Author(s)
      中井三留
    • Journal Title

      大同工業大学紀要 41

      Pages: 1-6

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Quasiconformal mappings and minimal Martinboundary of p-sheeted unlimited coveringsurfaces of the complex plane2005

    • Author(s)
      H.Masaoka
    • Journal Title

      Kodai Math.J. 28・2

      Pages: 275-279

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Hyperbolic Riemann surfaces without unbounded positive harmonic functions2005

    • Author(s)
      H.Masaoka
    • Journal Title

      Advanced Studies in Pure Mathematics, Potential Theory in Matsue (掲載決定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Meromorphic functions that share one set and two values in some sense2005

    • Author(s)
      H.Ueda
    • Journal Title

      大同工大紀要 41

      Pages: 7-18

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Plane domains with harmonic interpolating sequences which are not interpolating sequences2005

    • Author(s)
      J.Narita
    • Journal Title

      Kodai Math.J. 28・2

      Pages: 328-335

    • NAID

      130003574494

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Growth properties of p-th means of biharmonic Green potentials in the unit ball2005

    • Author(s)
      T.Futamura
    • Journal Title

      Osaka J.Math. 42・1

      Pages: 85-99

    • NAID

      120005986893

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Continuity of weakly monotone Sobolev functions2005

    • Author(s)
      T.Futamura
    • Journal Title

      Adv.Math.Sci.Appl. 15・2

      Pages: 571-585

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Continuity properties of Riesz potentials for functions in L^P(・) of variable exponent2005

    • Author(s)
      T.Futamura
    • Journal Title

      Math.Inequal.Appl. 8・4

      Pages: 619-631

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Local representability as Dirichlet solutions

    • Author(s)
      M.Nakai
    • Journal Title

      J. Math. Soc. Japan (掲載決定)

    • NAID

      10019540327

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Bounds in capacity inequality for two sheeted spheres

    • Author(s)
      M.Nakai
    • Journal Title

      Kodai Math. J. (掲載決定)

    • NAID

      130004948984

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The dependance of capacities on moving branch points

    • Author(s)
      M.Nakai
    • Journal Title

      Nagoya Math. J. (掲載決定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The role of compactification theory in the type problem

    • Author(s)
      M.Nakai
    • Journal Title

      Hokkaido Math. J. (掲載決定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Invariance of Picard dimensions under basic perturbations

    • Author(s)
      M.Nakai
    • Journal Title

      Potential Analysis (掲載決定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The role of symmetry for pasting arcs in the type problem

    • Author(s)
      M.Nakai
    • Journal Title

      Complex Variables and Elliptic Equations (掲載決定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Local representability as Dirichlet solutions

    • Author(s)
      M.Nakai
    • Journal Title

      J.Math.Soc.Japan (to appear)

    • NAID

      10019540327

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Bounds in capacity inequality for two sheeted spheres

    • Author(s)
      M.Nakai
    • Journal Title

      Kodai Math.J. (to appear)

    • NAID

      130004948984

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The dependance of capacities on moving branch points

    • Author(s)
      M.Nakai
    • Journal Title

      Nagoya Math.J. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The role of compactification theory in the type problem

    • Author(s)
      M.Nakai
    • Journal Title

      Nagoya Math.J. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Invariance of Picard dimensions under basic perturbations

    • Author(s)
      M.Nakai
    • Journal Title

      Potential Analysis (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The role of symmetry for pasting arcs in the type problem

    • Author(s)
      M.Nakai
    • Journal Title

      Complex Variables and Elliptic Equations (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Local representability as Dirichlet solutions

    • Author(s)
      M.Nakai
    • Journal Title

      J.Math.Soc.Japan (掲載決定)

    • NAID

      10019540327

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Bounds in capacity inequality for two sheeted spheres

    • Author(s)
      M.Nakai
    • Journal Title

      Kodai Math.J. (掲載決定)

    • NAID

      130004948984

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The dependance of capacities on moving branch points

    • Author(s)
      M.Nakai
    • Journal Title

      Nagoya Math.J. (掲載決定)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The role of compactification theory in the type problem

    • Author(s)
      M.Nakai
    • Journal Title

      Hokkaido Math.J. (掲載決定)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Invariance of Picard dimensions under basic perturbations

    • Author(s)
      M.Nakai
    • Journal Title

      Potential Analysis (掲載決定)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The role of symmetry for pasting arcs in the type problem

    • Author(s)
      M.Nakai
    • Journal Title

      Complex Variables and Elliptic Equations (掲載決定)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Sobolev embeddings for variable exponent Riesz potentials on metric spaces

    • Author(s)
      T.Futamura
    • Journal Title

      Ann.Acad.Sci.Fenn.Math. (掲載決定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Existence of supercritical pasting arcs for two sheeted spheres

    • Author(s)
      M.Nakai
    • Journal Title

      Kodai Math.J. (掲載決定)

    • NAID

      130004948948

    • Related Report
      2005 Annual Research Report
  • [Journal Article] The dependance of capacities on moving branch points

    • Author(s)
      M.Nakai
    • Journal Title

      Nagoya Math.J (掲載決定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Maximal functions for Lebesgue spaces with variable exponent approaching 1

    • Author(s)
      T.Futamura
    • Journal Title

      Hiroshima Math.J. (掲載決定)

    • Related Report
      2005 Annual Research Report

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Published: 2005-04-01   Modified: 2016-04-21  

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