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On an example concerning the Kobayashi pseudodistance
Author(s):
Wlodzimierz
Zwonek
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2945-2948.
MSC (1991):
Primary 32H15
MathSciNet review:
1452838
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Abstract:
In this short note we calculate the Kobayashi pseudodistance for elementary Reinhardt domains in  . They deliver us a number of examples giving a negative answer to a problem posed by S. Kobayashi.
References:
- [HW]
- G. H. Hardy & E. M. Wright, An Introduction to the Theory of Numbers, Oxford Science Publ., 1978. MR 81i:10002
- [JP]
- M. Jarnicki & P. Pflug, Invariant Distances and Metrics in Complex Analysis, Walter de Gruyter, 1993. MR 94k:32039
- [K]
- S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Pure and Appl. Math. 2, M. Dekker, 1970. MR 43:3503
- [L]
- L. Lempert, La métrique de Kobayashi et la représentation des domaines sur la boulle, Bull. Soc. Math. France 109 (1981), 427-479. MR 84d:32036
- [PZ]
- P. Pflug & W. Zwonek, Effective formulas for invariant functions - case of elementary Reinhardt domains, (preprint).
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Additional Information:
Wlodzimierz
Zwonek
Affiliation:
Instytut Matematyki, Uniwersytet Jagiellonski, Reymonta 4, 30-059 Kraków, Poland
Address at time of publication:
Carl von Ossietzky Universität Oldenburg, Fachbereich 6-Mathematik, Postfach 2503, 26111 Oldenburg, Germany
Email:
zwonek@im.uj.edu.pl, zwonek@mathematik.uni-oldenburg.de
DOI:
10.1090/S0002-9939-98-04419-0
PII:
S 0002-9939(98)04419-0
Received by editor(s):
February 28, 1997
Additional Notes:
The paper was partially supported by the KBN grant No 2 PO3A 060 08.
Communicated by:
Steven R. Bell
Copyright of article:
Copyright
1998,
American Mathematical Society
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