Boundary behavior of the Bergman metric
Boundary behavior of the Bergman metric
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DOI：
10.1017/s0027763000008333
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发表时间：
2002
影响因子：
0.8
通讯作者：
Boyong Chen
中科院分区：
文献类型：
--
作者：
Boyong Chen
摘要 设 Ω 为 C n 中的有界伪凸域。我们给出了伯格曼度量在某个边界点均匀趋于无穷大的充分条件，这通过在该点存在Hölder连续复次谐波峰值函数或验证以复复格林函数为特征的性质（P）（科曼意义上的）来说明。
Abstract Let Ω be a bounded pseudoconvex domain in C n . 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.