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Characterizations of John spaces

Authors :
Qingshan Zhou
Yaxiang Li
Matti Vuorinen
Source :
Monatshefte für Mathematik. 188:547-559
Publication Year :
2018
Publisher :
Springer Science and Business Media LLC, 2018.

Abstract

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.

Details

ISSN :
14365081 and 00269255
Volume :
188
Database :
OpenAIRE
Journal :
Monatshefte für Mathematik
Accession number :
edsair.doi...........a9403a1753e4a43fcff4cc450590ae43