English

Characterizations of John spaces

Complex Variables 2018-12-18 v2

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.

Keywords

Cite

@article{arxiv.1712.00534,
  title  = {Characterizations of John spaces},
  author = {Yaxiang Li and Matti Vuorinen and Qingshan Zhou},
  journal= {arXiv preprint arXiv:1712.00534},
  year   = {2018}
}

Comments

Monatshefte fur Mathematik;2018

R2 v1 2026-06-22T23:04:17.890Z