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Boundary behavior of the Bergman metric

Published online by Cambridge University Press:  22 January 2016

Bo-Yong Chen*
Affiliation:
Department of Applied Mathematics, Tongli University, 200092, P. R. China, chenboy@online.sh.cn
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Abstract

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Let Ω be a bounded pseudoconvex domain in Cn. We give sufficient conditions for the Bergman metric to go to infinity uniformly at some boundary point, which is stated by the existence of a Hölder continuous plurisubharmonic peak function at this point or the verification of property (P) (in the sense of Coman) which is characterized by the pluricomplex Green function.

Keywords

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

References

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