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Boundary behavior of the Bergman metric
Published online by Cambridge University Press: 22 January 2016
Abstract
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.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2002
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