Project/Area Number  10640149 
Research Category 
GrantinAid for Scientific Research (C).

Section  一般 
Research Field 
Basic analysis

Research Institution  YAMAGATA UNIVERSITY 
Principal Investigator 
MORI Seiki FACULTY OF SCIENCE, YAMAGATA UNIVERSITY, PROFESSOR, 理学部, 教授 (80004456)

CoInvestigator(Kenkyūbuntansha) 
KAWAMURA Shinzo FACULTY OF SCIENCE, YAMAGATA UNIVERSITY, PROFESSOR, 理学部, 教授 (50007176)
水原 昂廣 , 教授 (80006577)
NAKADA Masami FACULTY OF SCIENCE, YAMAGATA UNIVERSITY, PROFESSOR, 理学部, 教授 (20007173)
安達 謙三 長崎大学, 教育学部, 教授 (70007764)
TODA Nobushige FUCULTY OF ENGINEERING, NAGOYA INSTITUTE OF TECHNOLOGY, PROFESSOR, 工学部, 教授 (30004295)
KAZAMA Hideaki GRADUATE SCHOOL OF MATHEMATICS, KYUSHU UNIVERSITY, PROFESSOR, 大学院・数理学研究科, 教授 (10037252)
SATO Enji FACULTY OF SCIENCE, YAMAGATA UNIVERSITY, PROFESSOR, 理学部, 教授 (80107177)

Project Fiscal Year 
1998 – 1999

Project Status 
Completed(Fiscal Year 1999)

Budget Amount *help 
¥2,900,000 (Direct Cost : ¥2,900,000)
Fiscal Year 1999 : ¥1,800,000 (Direct Cost : ¥1,800,000)
Fiscal Year 1998 : ¥1,100,000 (Direct Cost : ¥1,100,000)

Keywords  value distribution theory / meromorphic mapping / defect / moving target / unicity theorem / small function / Julia set / dynamical system for chaos / 値分布理論 / 有理形写像 / 除外値 / 動標的 / 一意性定理 / ジュリア集合 / 緩増加関数 / カオス力学系 / 特異積分作用素 
Research Abstract 
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 nonconjugacy classes of nonrepelling cycles of rational maps by using quasiconformal 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 δδLemma of Kodaira for some class of complex quasitori CィイD1nィエD1/Γ. Adachi obtained an extension
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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 CRmappings and applying Webster's CRinvariant 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
