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 Inner uniform domains and the Apollonian inner metric Bull. Korean Math. Soc. 2013 Vol. 50, No. 6, 1873-1886 https://doi.org/10.4134/BKMS.2013.50.6.1873Published online 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 Downloads: Full-text PDF