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arxiv: 1303.5496 · v2 · pith:TF2LYOH6new · submitted 2013-03-22 · 🧮 math.CV · math.MG

Inner uniform domains and the Apollonian inner metric

classification 🧮 math.CV math.MG
keywords innerapolloniandomainsmetricuniformapplicationcharacterizationcharacterize
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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.

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