Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 33, 2008, 373-385

MODULUS OF CONTINUITY FOR QUASIREGULAR MAPPINGS WITH FINITE DISTORTION EXTENSION

Aleksandra Zapadinskaya

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

Abstract. We establish a sharp modulus of continuity for those planar quasiregular mappings defined in a domain with a cone condition that admit an extension to a mapping of locally exponentially integrable distortion.

2000 Mathematics Subject Classification: Primary 30C62.

Key words: Mappings of finite distortion, quasiregular, quasidisk.

Reference to this article: A. Zapadinskaya: Modulus of continuity for quasiregular mappings with finite distortion extension. Ann. Acad. Sci. Fenn. Math. 33 (2008), 373-385.

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