On bilipschitz extension of authomorphism of real axes II

• Autorzy: Wilczek K.
• Języki publikacji: EN

Abstrakty

EN

In this paper some extension operator and their properties are described. For a given authornorphism of ℝ we define autoraorphism F of upper half-plane. The mapping F is defined by using a harmonic center of trilateral. The main result concern to the bilipshiz property of F.

Słowa kluczowe

EN

bilipschiz extension; harmonie center of trilateral; quasiconformal mapping

PL

przedłużenie; środek harmoniczny trójstronny; odwzorowania qasikonforemne

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2007
• Tom: Vol. 29
• Strony: 143--149
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Wilczek K.

• Deprtment of Mathematics Rzeszów University of Technology W. Pola 2, P.O. Box 85 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 Math. 157 (1996), 35-44.
• [4] Lehto 0. 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] Sakan K., Zajac J., Doudy-Earle extension of quasihomographies Banach Center Pub. 37 (1996), 35-44.
• [7] Wilczek K., On quasiconformal extensions of a uthomorphism of the real axis, Jour, of Math, and App. vol 28, (2006) pp. 153-160.
• [8] Wilczek K., Schwarz Lemma for quasihomographies of a Jordan curve, Folia Sci. Univ. Technicae Resoviensis, Mat. z. 20, (1996) pp 179-192.
• [9] Wilczek K., Quasiconformal extension defined by simply geometric condition, Sci. Bull, of Chelm sec. of Math, and Comp. Vol 1/2006, pp. 129-136.