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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Comparison between the Kobayashi and Carathéodory distances on strongly pseudoconvex bounded domains in $ {\bf C}\sp n$


Author: Sergio Venturini
Journal: Proc. Amer. Math. Soc. 107 (1989), 725-730
MSC: Primary 32H15; Secondary 32F15
MathSciNet review: 984819
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Abstract: In this paper we prove that the ratio between the Carathéodory distance and the Kobayashi distance in a strongly pseudoconvex bounded domain in $ {{\mathbf{C}}^n}$ is arbitrarily close to 1 whenever at least one of the points is sufficiently near the boundary.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0984819-X
PII: S 0002-9939(1989)0984819-X
Article copyright: © Copyright 1989 American Mathematical Society