Inner uniform domains and the Apollonian inner metric

2013/03/22 by Yaxiang Li, Xiantao Wang, Li, Yaxiang +1
Mathematics · #Analytic and geometric function theory #Holomorphic and Operator Theory #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1303.5496

Abstract

In this paper, we characterize inner uniform domains in \IRⁿ 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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