Quasiconformal Mappings onto John Domains.

Autores: J. Heinonen
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 5, Nº 3-4, 1989, págs. 97-123
Idioma: inglés
DOI: 10.4171/rmi/87
Títulos paralelos:
- Aplicaciones cuasiconformes en dominios de John
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Resumen
- In this paper we study quasiconformal homeomorphisms of the unit ball B = Bn = {x Î 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].