期刊文献+

Loewner链与推广的Roper-Suffridge算子(英文)

Loewner Chains Associated with the Generalized Roper-Suffridge Extension Operator
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摘要 In this paper,we prove that the generalized Roper-Suffridge extension operator can be embedded in Loewner chains on the unit ball in Hibert spaces,and obtain the fact that the operator keeps the properties of almost spirallike mapping of type β and other α,almost starlikeness of order α,spirallikeness of type β and starlikeness. In this paper, we prove that the generalized Roper-Suffridge extension operator can be embedded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of type β and other α, almost staxlikeness of order α, spirallikeness of type β and starlikeness.
作者 成金环 刘涛
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第3期420-425,共6页 数学季刊(英文版)
基金 Supported by the National Natural Science Foundation of China(10626015 10571044)
关键词 操作 广义 关联 希尔伯特空间 单位球 运营商 经营者 generalized Roper-Suffridge extension operator Lowewner chains almost spirallike mapping of type β and order α
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参考文献6

  • 1LIU Tao,FENG Shu-xia,YAN Chun-yan.Loewner Chains Associated with the Generalized Roper-Suffridge Extension Operator on the Unit Ball in Hilbert Spaces[J].Chinese Quarterly Journal of Mathematics,2009(1):125-131. 被引量:1
  • 2LIU Xiao-song. Some Classes of Holomorphic Mappings in Several Complex Variables[D]. Hefei: University of Science and Technology of China, Dissertation 2004.
  • 3DUREN P L. Univalent Functions[M]. New York: Springer-Varlag, 1983.
  • 4FENG Shu-xia. Some Classes Holomorphic Mappings in Several Complex Variables[D]. Hefei: University of Science and Technology of China, 2004.
  • 5PLATLZGRAFF J A. Subordination chains and univalent of holomorphic mappings in Cn[J]. J Math Ann, 1974, 210: 55-68.
  • 6POREDA T. On the univalent subordination chains of holomorphic mappings in Banach space[J]. J Anal Math, 1989, 28: 295-304.

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