Inner uniform domains and the Apollonian inner metric
Bull. Korean Math. Soc. 2013 Vol. 50, No. 6, 1873-1886
Printed November 1, 2013
Yaxiang Li and Xiantao Wang
Central South University of Forestry and Technology, Hunan Normal University
Abstract : In this paper, we characterize inner uniform domains in $\IR^n$ in terms of Apollonian inner metric and the metric $j'_D$ when $D$ are Apollonian. As an application, a new characterization for $A$-uniform domains is obtained.
Keywords : inner uniform, Apollonian metric, inner metric
MSC numbers : Primary 30C65, 30F45; Secondary 30C20
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