On quasiconformal extensions of an authomorphism of the real axis II

• Autorzy: Wilczek K.
• Języki publikacji: EN

Abstrakty

EN

In this paper some extension operator (defined by a simply geoemtric condition) for authomorphism of a real axis are investigated. The sufficient and necessary conditions for K-quasiconformality of this extension are given.

Słowa kluczowe

EN

quasiconformal mapping; extension operator; cross-ratio

PL

analiza zespolona; quasi-konforemne odwzorowanie; dwustosunek czterech punktów

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2011
• Tom: Vol. 34
• Strony: 125--133
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Wilczek K.

• Department of Mathematics, Rzeszów University of Technology, Wincentego Pola 2, 35-959 Rzeszów, Poland

Bibliografia

• [1] Ahlfors L.V., Conformal invariants, Topics in geometric function theory, McGraw-Hill Book Company 1973.
• [2] Beurling A., Ahlfors L.V., The boundary correspondence under quasiconformal mappings, Act. Math. 36 (1956), 125-142.
• [3] Doudy A., Earle C.J., Conformal natural extension of homeomorphism of the circle, Acta Mathematica, 1986, Volume 157, Number 1, 23-48.
• [4] Lehto O. Virtanen K. I., Quasiconformal mappings in the plane, Springer-Verlag Berlin Heidelberg New York 1973.
• [5] Szynal A., Wilczek K., Extension operator of authomorphizm of unit circle, Folia Sci. Univ. Technicae Resoviensis, Mat. z. 21, (1997) pp 141-149.
• [6] K. Wilczek, On quasiconformal extensions of an authomorphism of the real axis, J. Math. and Appl. 28 (2006), 153-160.
• [7] Sakan K., Zając J., Doudy-Earle extension of quasihomographies, Banach Center Pub. 37 (1996), 35-44.