Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (1): 37-40.

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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

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

CLC Number: 

  • 30D50
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