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多复变几何函数理论的近代进展

RECENT DEVELOPMENT IN GEOMETRIC FUNCTION THEORY OF SEVERAL VARIABLES
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摘要 作者评论了多复变几何函数理论中的新结果.这评论包括了双全纯映照的否定或肯定的黎曼映照定理、边界对应、参数表示、增长性定理、编差定理、拟共扩张、系数问题和变分公式,以及全纯映照的单叶性判别准则. The author reviews new results in geometric function theory of several variables in C^n. This review includes mainly negative or positive Riemann mapping theory correspondence of boundaries, convergence theorems, parameter representation, growth theorems, distortion theorems, quasicnformal extension, coefficient problems and variation formulas of biholomorhic mappings, and univalence of holmorphic mappins.
作者 任福尧
机构地区 复旦大学数学系
出处 《淮北煤师院学报(自然科学版)》 1992年第2期35-48,共14页 Journal of Huaibei Teachers College(Natural Sciences Edition)
基金 中国科学院科学基金资助项目
关键词 几何函数理论 双全纯映照 Geometric function theory, Biholomorphic mapping.
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参考文献8

  • 1S. V. Khasanov. Correspondence of boundaries under biholomorphic maps in Cn[J] 1988,Siberian Mathematical Journal(3):462~467
  • 2B. L. Fridman. An approximate Riemann Mapping Theorem in ? n[J] 1986,Mathematische Annalen(1):49~55
  • 3Robert E. Greene,Steven G. Krantz. The automorphism groups of strongly pseudoconvex domains[J] 1982,Mathematische Annalen(4):425~446
  • 4Steve Bell,Ewa Ligocka. A simplification and extension of Fefferman’s theorem on biholomorphic mappings[J] 1980,Inventiones Mathematicae(3):283~289
  • 5B. Wong. Characterization of the unit ball in ? n by its automorphism group[J] 1977,Inventiones Mathematicae(3):253~257
  • 6J. A Pfaltzgraff. Subordination chains and univalence of holomorphic mappings inC n[J] 1974,Mathematische Annalen(1):55~68
  • 7Charles Fefferman. The Bergman kernel and biholomorphic mappings of pseudoconvex domains[J] 1974,Inventiones Mathematicae(1):1~65
  • 8Henri Cartan. Sur les fonctions de plusieurs variables complexes. L’itération des transformations intérieures d’un domaine borné[J] 1932,Mathematische Zeitschrift(1):760~773

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