On conformal dilatation in space-Reference-Cited by-同舟云学术

On conformal dilatation in space

Published:2003 Issue:22 Volume:2003 Page:1397-1420
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

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)

Link

http://downloads.hindawi.com/journals/ijmms/2003/340757.pdf

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