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On regularity of a quasiconformal mapping at a point of maximal stretching |
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| Authors: | Gutlyanskii, Vladimir Ya. Martio, Olli |
| Affiliation: | Institute of Applied Mathematics and Mechanics NAS of Ukraine ul. Roze Luxemburg 74 83114, Donetsk Ukraine gut{at}iamm.ac.donetsk.ua Department of Mathematics and Statistics P.O. Box 68 (Gustaf Hällströmin katu 2b) FIN–00014 University of Helsinki Finland olli.martio{at}helsinki.fi |
| Abstract: | Local behaviour of a K-quasiconformal mapping f at a point z0of maximal stretching is studied. A sufficient condition forthe existence of the finite limit lim(f(z) f(z0))/(z z0)|z z0|1/K1 as z  z0, and a criterionfor z0 to be a point of maximal stretching are given. |
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