Resumen de Quasiconformal Mappings onto John Domains.

J. Heinonen

• 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].