The Apollonian inner metric and uniform
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M. Huang; S. Ponnusamy; X. Wang; S. K. Sahoo
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Article
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2010
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John Wiley and Sons
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English
โ 152 KB
In this paper we characterize uniform domains in terms of the Apollonian inner metric and the j-metric, thus providing solutions to two open problems given in [16]. We also discuss the relationships among uniform, A-uniform, Apollonian quasiconvex and quasi-isotropic domains.