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RESEARCH OF VALUE DISTRIBUTION OF MEROMORPHIC MAPPINGS

RESEARCH OF VALUE DISTRIBUTION OF MEROMORPHIC MAPPINGS
亚形映射的值分布研究
批准号:
10640149
负责人:
MORI Seiki
金额:
$1.86万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
1998
资助国家:
日本
项目状态:
已结题
起止时间:
1998 至 1999

项目摘要

项目成果

MORI Seiki的其他基金

相关文献

中文摘要
翻译
首席调查员Mori研究了少数几个带有缺陷的美化映射。He obtained elimination theorems of defects of a meromorphic mapping into Py D1n y D1(C) by a small deformation, and also he proved that mappings without defects are dense in a space of transcendental meromorphic mappings。研究员Toda发现了一个用于四个小变态函数的统一理论,也发现了Nevanlinna的第二个主要理论的广义形式,将全息曲线转换为Py D1(C)和亚通用位置的超平面。Nakada研究了Julia的局部连通性,以及使用quasi-conformal surgery使用quasi-conformal surgery的非并发循环的非理性地图的数目。Sekigawa studied finite order parabolic transformations with a torsion acting on RイイD13イエD1 by using a Clifford matrix of Maebius transformations。Kazama proved a-Lemma of Kodaira for some class of complex quasi-tori C-D1n-D1/-。Adachi获得了扩展 ... More theorem for a boundes holomorphic function on a subvariety V on a?tic polyhedra?in C?D1n?D1 to one on?。Kodama赋予了某些脆弱伪卷积域的特征,通过使用扩展理论对全息映射和CR映射以及应用Webster's CR变量度量,即,他在Ry D1 n Ry D1中获得的任何边界域的条件是生物全息到一个通用复合体椭圆体。Kawamura研究了使用运算符代数理论的度量空间方法的混沌地图,并获得了一些重要的结果来讨论混沌和波浪形理论。Sato研究了Fourier Multiplier在当地紧凑的阿拉伯裔群体上的空间。Also he studied on the transference of continuity from max?Fourier multiplier operators on R·D1n··D1 to those on T·D1n··D1。Mizuhara提供了具有一般增长功能的Morrey Spaces上的一些单一积分运算符和多项运算符之间的边界性。Oakayasu在冯·诺伊曼的多重不平等理论上获得了一个理论。Less(低)
英文摘要
The head investigator Mori researched a fewness of meromorphic mapping with defects. He obtained elimination theorems of defects of a meromorphic mapping into PィイD1nィエD1(C) by a small deformation, and also he proved that mappings without defects are dense in a space of transcendental meromorphic mappings. Investigator Toda obtained a unicity theorem for four small meromorphic functions, and also obtained a general form of Nevanlinna's second main theorem for a holomorphic curve into PィイD1nィエD1(C) and hyperplanes in subgeneral position. Nakada studied the local connectedness of Julia sets of hyperbolic rational maps and the number of non-conjugacy classes of non-repelling cycles of rational maps by using quasi-conformal surgery. Sekigawa studied finite order parabolic transformations with a torsion acting on RィイD13ィエD1 by using a Clifford matrix of Maebius transformations. Kazama proved a δδ-Lemma of Kodaira for some class of complex quasi-tori CィイD1nィエD1/Γ. Adachi obtained an extension … More theorem for a boundes holomorphic function on a subvariety V on a analytic polyhedra Ω in CィイD1nィエD1 to one on Ω. Kodama gave a characterization of certain weakly pseudo convex domains by using an extension theorem on holomorphic mappings and CR-mappings and applying Webster's CR-invariant metric, that is, he obtained conditions for which bounded domain in RィイD1nィエD1 is biholomorphic to a generalized complex ellipsoid. Kawamura studied chaotic maps on metric measure space using method of the theory of operator algebras and he obtained some important results concerning chaos and wavelet theory. Sato studied the space of Fourier multipliers on locally compact abelian groups. Also he studied on the transference of continuity from maximal Fourier multiplier operators on RィイD1nィエD1 to those on TィイD1nィエD1. Mizuhara proved the boundedness of commutators between some singular integral operator and multiplication operator by a loccaly integrable function on Morrey spaces with general growth function. Oakayasu obtained a theorem on a multivariable von Neumann's inequality. Less
期刊论文(54)
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M. Kaneko and E. Sato: "Notes on transference of continuity from maximal Fourier operators on RィイD1nィエD1 to those on TィイD1nィエD1"Interdiscriplinary Information Sciences. 4. 97-107 (1998)
M. Kaneko 和 E. Sato:“关于从 RiiD1nIeD1 上的最大傅里叶算子到 TiiD1nieD1 上的最大傅里叶算子的连续性转移的注释”跨学科信息科学 4. 97-107 (1998)。
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T. Okayasu: "The Lowner-Hienz inequality in Banach *-Algebras."Glasgow Math. J.. 42. 243-246 (2000)
T.Okayasu:“Banach *-代数中的 Lowner-Hienz 不等式。”格拉斯哥数学。
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共 53 条
    Value distribution theory of meromorphic mappings concerningdefects and its application to uniqueness theorems
    • 批准号:
      18540156
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.53万
    • 财政年份:
      2006
    • 负责人:
      MORI Seiki
    • 依托单位:
    QUANTITATIVE RESEARCH OF DEFICIENCIES OF MEROMORPFIC MAPPINGS AND EXCEPTIONAL MAPPINGS
    • 批准号:
      15540151
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.3万
    • 财政年份:
      2003
    • 负责人:
      MORI Seiki
    • 依托单位:
    RESEARCH OF A SPACE OF MEROMORPHIC MAPPINGS AND DEFICIENCIES
    • 批准号:
      12640150
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.24万
    • 财政年份:
      2000
    • 负责人:
      MORI Seiki
    • 依托单位: