Computational Methods and Function Theory 2 (2002), No. 2, 367--384
Copyright Heldermann Verlag 2002
Vladimir Gutlyanskii
gut@iamm.ac.donetsk.ua, Institute of Applied Mathematics and Mechanics, NAS of Ukraine, ul. Roze Luxemburg 74, 83114, Donetsk, Ukraine.
Olli Martio
martio@cc.helsinki.fi, Department of Mathematics, P. O. Box 4 (Yliopistonkatu 5), FIN--00014 University of Helsinki, Finland.
Regularity problems of a plane quasiconformal mapping $f$ where complex dilatation is close to zero are studied. Our approach is based on a new conformality result \cite{11} which extends the classical Teichm\"uller-Wittich-Belinski Regularity Theorem.
Keywords: Quasiconformal curves, regularity of quasiconformal mappings.
MSC 2000: 30C55, 30C60.
[FullText-pdf (380 K)] [FullText-ps (304 K)]