Abstract
An estimate of the Kobabyashi and Caratheodory distances K G (A, B) and C G (A, B) in a strongly pseudoconvex domain G ⊂ C n,A, B ∈ G, is obtained. As a result it is proved that, if A ∈ G is fixed,there exists a constant k > 0 (which may depend on A) such that K G (A, B) −C G (A, B) < k,for all z ∈G
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References
A. A. Fadlalla, “Über die Caratheodorysche Metrik (Dissertation (Grauert),” Göttingen, 1962.
A. A. Fadlalla, Bull. Sc.Math.de France, 2e serie 97 (1973), 193–205.
I. Graham, Trans.Amer.Math.Soc. 207 (1975), 219–240.
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© 1991 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Fadlalla, A.A. (1991). On the Boundary Behavior of the Caratheodory and Kobayashi Distances in Strongly Pseudoconvex Domains in C n . In: Diederich, K. (eds) Complex Analysis. Aspects of Mathematics, vol 1. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-86856-5_19
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DOI: https://doi.org/10.1007/978-3-322-86856-5_19
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-322-86858-9
Online ISBN: 978-3-322-86856-5
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