Characterizations of John spaces (1712.00534v2)

Published 2 Dec 2017 in math.CV

Abstract: The main purpose of this paper is to study the characterizations of John spaces. We obtain five equivalence characteristics for length John spaces. As an application, we establish a dimension-free quasisymmetric invariance of length John spaces.This result is new also in the case of the Euclidean space.

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