Transfer of Estimates from Convex to Strongly Pseudoconvex Domains in $ℂ^N$

• Autorzy: Adib A. Fadlalla
• Języki publikacji: EN

Abstrakty

EN

In this article, estimates of the hyperbolic and Carathéodory distances in domains $G ⊂ ⊂ ℂ^n$, n ≥ 1, are obtained. They are equally valid for the Kobayashi distance.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 37
• Numer: 1
• Strony: 85-94

Daty

wydano

1996

Twórcy

autor

Adib A. Fadlalla

• Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

Bibliografia

• [1] M. Abate, Iteration theory of holomorphic maps on taut manifolds, Italy: Mediterranean Press, 1989.
• [2] C. Carathéodory, Über eine spezielle Metrik, die in der Theorie der analytischen Funktionen auftritt, Atti Pontif. Accad. Sci. Nuovi Lincei 80 (1927), 135-141.
• [3] A. A. Fadlalla, On the group of automorphism of the Euclidean hypersphere, Mathematika 15 (1968), 193-198.
• [4] A. A. Fadlalla, On the boundary behaviour of the Carathéodory and Kobayashi distances in strongly pseudoconvex domains in $ℂ^n$, Proc. Int. Workshop in Wuppertal (1990), Aspects of Mathematics (1990), 111-114.
• [5] A. A. Fadlalla, The Carathéodory distance in strongly pseudoconvex domains, Math. Ann. 298 (1994), 141-144.
• [6] F. Forestneric, J. P. Rosay, Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings, Math. Ann. 279 (1987), 239-252.
• [7] E. Vesentini, Complex geodesic, Compositio Math. 44 (1981), 375-394.
• [8] N. Vormoor, Topologische Fortsetzung biholomorpher Funktionen auf den Rand bei beschränkten streng-pseudokonvexen Gebieten in $ℂ^n$, Math. Ann. 204 (1973), 239-261.