Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 40, 2015, 183-202

UNIFORM CONTINUITY OF QUASICONFORMAL MAPPINGS ONTO GENERALIZED JOHN DOMAINS

Chang-Yu Guo

University of Jyväskylä, Department of Mathematics and Statistics
P.O. Box 35, FI-40014 University of Jyväskylä, Finland; changyu.c.guo 'at' jyu.fi

Abstract. We study uniform continuity of quasiconformal mappings onto δ-Gromov-hyperbolic φ-John domains. The general φ-John case is also investigated.

2010 Mathematics Subject Classification: Primary 30C62,30C65.

Key words: John domain, inner uniform domain, δ-Gromov-hyperbolic domain, quasiconformal mapping, quasihyperbolic geodesic.

Reference to this article: C.-Y. Guo: Uniform continuity of quasiconformal mappings onto generalized John domains. Ann. Acad. Sci. Fenn. Math. 40 (2015), 183-202.

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doi:10.5186/aasfm.2015.4010