On boundary correspondence under quasiconformal mappings.
Gutlyanskij, V.Ya., Ryazanov, V.I. (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Gutlyanskij, V.Ya., Ryazanov, V.I. (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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In this paper we study quasiconformal homeomorphisms of the unit ball B = B = {x ∈ R: |x| < 1} of R 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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Annales Academiae Scientiarum Fennicae. Mathematica
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