Bulletin of the Korean Mathematical Society (대한수학회보)

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INNER UNIFORM DOMAINS AND THE APOLLONIAN INNER METRIC

  • Li, Yaxiang (College of Science Central South University of Forestry and Technology) ;
  • Wang, Xiantao (Department of Mathematics Hunan Normal University)
  • Received : 2012.04.06
  • Published : 2013.11.30
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Abstract

In this paper, we characterize inner uniform domains in $\mathbb{R}^n$ in terms of Apollonian inner metric and the metric $j^{\prime}_D$ when D are Apollonian. As an application, a new characterization for A-uniform domains is obtained.

Keywords

Acknowledgement

Supported by : NSF of China

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