On conformal dilatation in space

Author:

Bishop Christopher J.1,Gutlyanskiĭ Vladimir Ya.2,Martio Olli3,Vuorinen Matti3

Affiliation:

1. Department of Mathematics, SUNY at Stony Brook, Stony Brook, NY 11794-3651, USA

2. Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, 74 Roze Luxemburg Street, Donetsk 83114, Ukraine

3. Department of Mathematics, University of Helsinki, P.O. Box 4 (Yliopistonkatu 5), FIN-00014, Finland

Abstract

We study the conformality problems associated with quasiregular mappings in space. Our approach is based on the concept of the infinitesimal space and some new Grötzsch-Teichmüller type modulus estimates that are expressed in terms of the mean value of the dilatation coefficients.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

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