Estimation of the harmonic metric

• Autorzy: Wilczek K.
• Języki publikacji: EN

Abstrakty

EN

In this paper some special metric in the given domain is investigated. Using the harmonic center of trilaterals the special harmonic coordinates of points are defined. The harmonic metric is associated with these harmonic coordinates. Some relation between this metric and another known metrics are given.

Słowa kluczowe

EN

metric space; domains; harmonic metric; harmonic measure; conformal invariants

PL

przestrzeń metryczna; domeny; niezmienności konforemne

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
• Rocznik: 2000
• Tom: z. 24 [181]
• Strony: 145--153
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Wilczek K.

• Department of Mathematics, Technical University of Rzeszów, Poland

Bibliografia

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• [Kr] J. G. Krzyż, Quasicircles and harmonie measure, Ann. Acad. Scient. Fenn. Series A I, 12 (1987), pp. 19-24.
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• [Wł] K. Wilczek, Schwarz Lemma for Quasihomographies of a Jordan curve, Preprint 558, IM PAN 1996 and Folia Sci. Univ. Tech. Resoviensis Mat. z. 20 (1996), pp. 179-192.
• [W2] K. Wilczek, Distortion Theorems for the quasihomographies of a Jordan Curve, Bull. Soc. Sc. Et Lett. De Łódź, Vol. XLVIII (1998), 77-88.
• [W3] K. Wilczek, The harmonie coordinates of a point and the harmonie metric, to appear.
• [WZ] K. Wilczek, J. Zając, A Distortion Theorem for K­ quasiconformal self-mapping of the unit disc, Bull. Soc. Sc. Et Lett. De Łódź, Vol. IL (1998), 91-102.
• [Zł] J. Zając, The harmonie cross-ratio as a new conformal invariant, Folia Sci. Univ. Tech. ResoviensisMat. z. 18 (1995), s.93-101.