On local injectivity and asymptotic linearity of quasiregular mappings

• Autorzy: V. Ya. Gutlyanskiĭ , O. Martio , V. I. Ryazanov , M. Vuorinen
• Języki publikacji: EN

Abstrakty

EN

It is shown that the approximate continuity of the dilatation matrix of a quasiregular mapping f at $x_0$ implies the local injectivity and the asymptotic linearity of f at $x_0$. Sufficient conditions for $log|f(x) - f(x_0)|$ to behave asymptotically as $log|x - x_0|$ are given. Some global injectivity results are derived.

Kategorie tematyczne

• 30C65: Quasiconformal mappings in 𝐑 n , other generalizations
• 30C75: Extremal problems for conformal and quasiconformal mappings, other methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 128
• Numer: 3
• Strony: 243-271

Daty

wydano

1998

otrzymano

1996-11-04

Twórcy

autor

V. Ya. Gutlyanskiĭ

• Institute of Applied Mathematics and Mechanics, NAS of Ukraine, ul. Roze Luxemburg 74, 340114 Donetsk, Ukraine

autor

O. Martio

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

autor

V. I. Ryazanov

• Institute of Applied Mathematics and Mechanics, NAS of Ukraine, ul. Roze Luxemburg 74, 340114 Donetsk, Ukraine

autor

M. Vuorinen

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

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