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arXiv · 1712.00534

Characterizations of John spaces

Yaxiang Li·Matti Vuorinen·Qingshan Zhou
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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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Yaxiang Li, Matti Vuorinen, Qingshan Zhou. 2017-12-02. Characterizations of John spaces. https://arxiv.org/abs/1712.00534

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