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arxiv: 1712.00534 · v2 · pith:PLQ242D5new · submitted 2017-12-02 · 🧮 math.CV

Characterizations of John spaces

classification 🧮 math.CV
keywords johnspacescharacterizationslengthapplicationcasecharacteristicsdimension-free
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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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