# Quasiconformal Mappings Onto John Domains

```@article{Heinonen1989QuasiconformalMO,
title={Quasiconformal Mappings Onto John Domains},
author={Juha M. Heinonen},
journal={Revista Matematica Iberoamericana},
year={1989},
volume={5},
pages={97-123}
}```
• J. Heinonen
• Published 30 September 1989
• Mathematics
• Revista Matematica Iberoamericana
In this paper we study quasiconformal homeomorphisms of the unit ball B = Bn = {x I Rn: |x| < 1} of Rn onto John domains. We recall that John domains were introduced by F. John in his study of rigidity of local quasi-isometries [J]; the term John domain was coined by O. Martio and J. Sarvas seventeen years later [MS]. From the various equivalent characterizations we shall adapt the following definition based on diameter carrots, cf. [V4], [V5], [NV].
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