Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 33, 2008, 65-80

MAPPINGS OF FINITE DISTORTION: COMPOSITION OPERATOR

Stanislav Hencl and Pekka Koskela

Charles University, Department of Mathematical Analysis
Sokolovská 83, 186 00 Prague 8, Czech Republic; hencl 'at' karlin.mff.cuni.cz

University of Jyväskylä, Department of Mathematics and Statistics
P.O. Box 35 (MaD), FI-40014 Jyväskylä, Finland; pkoskela 'at' maths.jyu.fi

Abstract. We give sharp integrability conditions on the distortion function of a homeomorphism f of finite distortion, under which f induces a composition operator between two Sobolev spaces.

2000 Mathematics Subject Classification: Primary 26B10, 30C65, 28A5, 46E35.

Key words: Sobolev mapping, composition.

Reference to this article: S. Hencl and P. Koskela: Mappings of finite distortion: composition operator. Ann. Acad. Sci. Fenn. Math. 33 (2008), 65-80.

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