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2 results

  • A MODEL OF UNIVERSAL TEICHMÜLLER SPACE AND ITS APPLICATION

  • Part of
  • YUEMING KANG, TAO CHENG, JIXIU CHEN
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 77 / Issue 1 / February 2008
    Published online by Cambridge University Press:
    01 February 2008, pp. 21-30
    Print publication:
    February 2008
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  • In this paper, one model of the universal Teichmüller space is studied. By the method of construction, the lower bound of the inner radius of univalency by the Pre-Schwarzian derivative of quasidisks with infinity as an inner point (such as domains bounded by ellipses) is obtained.

  • NORM ESTIMATES OF THE PRE-SCHWARZIAN DERIVATIVES FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS

  • Yong Chan Kim, Toshiyuki Sugawa
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 49 / Issue 1 / February 2006
    Published online by Cambridge University Press:
    02 February 2006, pp. 131-143
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  • A sharp norm estimate will be given to the pre-Schwarzian derivatives of close-to-convex functions of specified type. In order to show the sharpness, we introduce a kind of maximal operator which may be of independent interest. We also discuss a relation between the subclasses of close-to-convex functions and the Hardy spaces.