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The Apollonian inner metric and uniform domains

โœ Scribed by M. Huang; S. Ponnusamy; X. Wang; S. K. Sahoo


Book ID
102493013
Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
152 KB
Volume
283
Category
Article
ISSN
0025-584X

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โœฆ Synopsis


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.


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