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ACL homeomorphisms and linear dilatation

Author(s): S. Kallunki; O. Martio
Journal: Proc. Amer. Math. Soc. 130 (2002), 1073-1078.
MSC (2000): Primary 30C62, 30C65
Posted: September 14, 2001
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Abstract | References | Similar articles | Additional information

Abstract: We establish an integrability condition on the linear dilatation to guarantee ACL.

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Gehring, F.W., The definitions and exceptional sets for quasiconformal mappings, Ann. Acad. Sci. Fenn. Ser. AI 281 (1960), 1-28. MR 23:A1800

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Tukia, P., Hausdorff dimension and quasisymmetric mappings, Math. Scand. 65 (1989), 152-160. MR 92b:30026

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Tukia, P., Compactness properties of $\mu$-homeomorphisms, Ann. Acad. Sci. Fenn. Ser. AI Math. 16 (1991), 47-69. MR 93c:30029

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Additional Information:

S. Kallunki
Affiliation: Department of Mathematics, University of Jyväskylä, P.O. Box 35, Fin-40351 Jyväskylä, Finland
Email: sakallun@maths.jyu.fi

O. Martio
Affiliation: Department of Mathematics, P.O. Box 4, FIN-00014 University of Helsinki, Finland
Email: olli.martio@helsinki.fi

DOI: 10.1090/S0002-9939-01-06265-7
PII: S 0002-9939(01)06265-7
Received by editor(s): October 5, 2000
Posted: September 14, 2001
Additional Notes: The first author was partially supported by the foundation Vilho, Yrjö ja Kalle Väisälän rahasto
Communicated by: Juha M. Heinonen
Copyright of article: Copyright 2001, American Mathematical Society

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