Holder spaces of quasiconformal mappings

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We prove that a K-quasiconformal mapping belongs to the little Holder space C0,1/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 Holder spaces with exponent greater than 1/K.
Original languageEnglish (US)
Pages (from-to)87-94
JournalPublications de l'Institut Mathematique
Issue number89
StatePublished - 2004


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