Suita conjecture and the Ohsawa-Takegoshi extension theorem

被引：93

作者：

Blocki, Zbigniew ^{[1
]}

机构：

[1] Uniwersytet Jagiellonski, Inst Matemat, PL-30348 Krakow, Poland

来源：

INVENTIONES MATHEMATICAE | 2013年 / 193卷 / 01期

关键词：

SECTIONAL CURVATURE;

D O I：

10.1007/s00222-012-0423-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a conjecture of N. Suita which says that for any bounded domain D in a", one has , where c (D) (z) is the logarithmic capacity of a",a-D with respect to zaD and K (D) the Bergman kernel on the diagonal. We also obtain optimal constant in the Ohsawa-Takegoshi extension theorem.

引用

页码：149 / 158

页数：10

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