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

 

The Carathéodory metric of the annulus


Author: R. R. Simha
Journal: Proc. Amer. Math. Soc. 50 (1975), 162-166
MSC: Primary 30A40; Secondary 46J10
MathSciNet review: 0379831
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Abstract: An explicit formula is given for the Carathéodory metric of the annulus in the complex plane. The infinitesimal Carathéodory metric, which is just the norm of the differentiation at a point regarded as a functional on the algebra of holomorphic functions, is also determined.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0379831-8
PII: S 0002-9939(1975)0379831-8
Article copyright: © Copyright 1975 American Mathematical Society