Characterizations of John spaces
: Li Y., Vuorinen M., Zhou Q.
Publisher: Springer-Verlag Wien
: 2019
: Monatshefte für Mathematik
: Monatshefte fur Mathematik
: 188
: 3
: 547
: 559
: 13
: 0026-9255
DOI: https://doi.org/10.1007/s00605-018-1231-6
: 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.