EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 75(89), pp. 87–94 (2004)

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HÖLDER SPACES OF QUASICONFORMAL MAPPINGS

Leonid V. Kovalev

Department of Mathematics, Washington University, St. Louis, MO 63130, USA

Abstract: We prove that a $K$-quasiconformal mapping belongs to the little Hölder space $c^{0,1/K}$ if and only if its local modulus of continuity has an appropriate order of vanishing at every point. No such characterization is possible for Hölder spaces with exponent greater than $1/K$.

Keywords: Quasiconformal mappings, Hölder spaces, linear dilatation, modulus of continuity

Classification (MSC2000): 30C62; 26B35

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Electronic fulltext finalized on: 27 Oct 2004. This page was last modified: 22 Feb 2005.

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