A1 Refereed original research article in a scientific journal
Characterizations of John spaces
Authors: Li Y., Vuorinen M., Zhou Q.
Publisher: Springer-Verlag Wien
Publication year: 2019
Journal: Monatshefte für Mathematik
Journal name in source: Monatshefte fur Mathematik
Volume: 188
Issue: 3
First page : 547
Last page: 559
Number of pages: 13
ISSN: 0026-9255
DOI: https://doi.org/10.1007/s00605-018-1231-6
Self-archived copy’s web address: https://arxiv.org/abs/1712.00534
The main purpose of this paper is to study the characterizations of John
spaces. We obtain five equivalent characterizations 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.