数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (1): 37-40.

• 论文 • 上一篇    下一篇

ON UNIVALENT BLOCH FUNCTIONS

 乌兰哈斯   

  1. Department of Mathematics, Shantou University, Shantou 515063, China
  • 出版日期:2001-01-06 发布日期:2001-01-06
  • 基金资助:

    This research was supported in part by a grant from the Vaisala Fund, Finland

ON UNIVALENT BLOCH FUNCTIONS

 WU Lan-Ha-Si   

  1. Department of Mathematics, Shantou University, Shantou 515063, China
  • Online:2001-01-06 Published:2001-01-06
  • Supported by:

    This research was supported in part by a grant from the Vaisala Fund, Finland

摘要:

A new characterization of univalent Bloch functions is given by investigating the growth order of an essentially increasing function. Our contribution can be considered as a slight improvement of the well-known Pommerenke’s result and its all generali zations, and the proof presented in this paper is independently developed.

关键词: Univalent Bloch functions, essentially increasing functions, Qp spaces

Abstract:

A new characterization of univalent Bloch functions is given by investigating the growth order of an essentially increasing function. Our contribution can be considered as a slight improvement of the well-known Pommerenke’s result and its all generali zations, and the proof presented in this paper is independently developed.

Key words: Univalent Bloch functions, essentially increasing functions, Qp spaces

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