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On Hyperbolicity of balanced domains

Published online by Cambridge University Press:  22 January 2016

Sung-Hee Park*
Affiliation:
Department of Mathematics, Chonbuk National University, Chonju, Chonbuk 561-756, Republic of Korea. wshpark@mail.chonbuk.ac.kr
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Abstract

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We compare the hyperbolicity with respect to the Lempert function with the other hyperbolicities in the class of pseudoconvex balanced domains.

Keywords

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2004

References

[1] Azukawa, K., Hyperbolicity of circular domains, Tôhoku Math. J., 35 (1983), 259265.Google Scholar
[2] Barth, T. J., Convex domains and Kobayashi hyperbolicity, Proc. Amer. Math. Soc., 79 (1980), 556558.Google Scholar
[3] Jarnicki, M. and Pflug, P., Invariant Distances and Metrics in Complex Analysis, De Gruyter Expositions in Math. 9, Walter de Gruyter, Berlin, New York, 1993.Google Scholar
[4] Kobayashi, S., Hyperbolic Complex Spaces, Grundlehren der mathematischen Wissenschaften vol. 318, Springer Verlag, Berlin, Heidelberg, New York, 1998.Google Scholar
[5] Kodama, A., Boundedness of circular domains, Proc. Japan Acad., Ser. A Math. Sci., 58 (1982), 227230.Google Scholar
[6] Park, S.-H., Tautness and Kobayashi hyperbolicity, Ph. D. Thesis, Universität Oldenburg (2003).Google Scholar
[7] Sadullaev, A., Schwarz lemma for circular domains and its applications, Math. Notes, 27 (1980), 120125.Google Scholar
[8] Zwonek, W., On hyperbolicity of pseudoconvex Reinhardt domains, Arch. Math., 72 (1999), 304314.Google Scholar