Characterizations of John spaces
Yaxiang Li, Matti Vuorinen, Qingshan Zhou
TL;DR
This paper explores the properties of John spaces, providing new characterizations and demonstrating their invariance under quasisymmetric maps, including in Euclidean spaces.
Contribution
It introduces five new equivalence characterizations of length John spaces and proves their dimension-free quasisymmetric invariance, extending known results.
Findings
Five equivalence characterizations of length John spaces
Dimension-free quasisymmetric invariance established
New results applicable to Euclidean spaces
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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Taxonomy
TopicsAnalytic and geometric function theory · Bone Metabolism and Diseases · Geometric Analysis and Curvature Flows