Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (3): 345-348.

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Extreme Points and Support Points of a Family of Analytic Func tions

 BANG Zhi-Gang, SU Feng-   

  • Online:2005-07-24 Published:2005-07-24
  • Supported by:

    国家自然科学基金(070092134)和湖北省教育厅自然科学基金(070894013)资助

Abstract:

Let Ω={f(z):f(z) is analytic in |z|<1 and f(z)=z+∑^{+∞}_{n=2}{a_n z^n}, a_n being real numbers,  ∑^{+∞}_{n=2}{n|a_n|≤1}}. In this article the extreme points and support points of  Ω  are obtained.

Key words: Topology of uniform convergence, Extreme point;Support point

CLC Number: 

  • 30C45
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