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math.CV2013
On John domains in Banach spaces
Y. Li, M. Vuorinen, X. Wang
We study the stability of John domains in Banach spaces under removal of a countable set of points. In particular, we prove that the class of John domains is stable in the sense th…
math.CV2013
Inner uniform domains and the Apollonian inner metric
Yaxiang Li, Xiantao Wang
In this paper, we characterize inner uniform domains in $\IR^n$ in terms of Apollonian inner metric and the metric when are Apollonian. As an application, a new characte…