BERGMAN KERNELS OF ELEMENTARY REINHARDT DOMAINS

被引：13

作者：

Chakrabarti, Debraj ^{[1
]}

Konkel, Austin ^{[1
]}

Mainkar, Meera ^{[1
]}

Miller, Evan ^{[1
]}

机构：

[1] Cent Michigan Univ, Dept Math, Mt Pleasant, MI 48859 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2020年 / 306卷 / 01期

关键词：

Bergman kernel; HOLOMORPHIC-FUNCTIONS;

D O I：

10.2140/pjm.2020.306.67

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Bergman kernel of certain domains in C-n, called elementary Reinhardt domains, generalizing the classical Hartogs triangle. For some elementary Reinhardt domains, we explicitly compute the kernel, which is a rational function of the coordinates. For some other such domains, we show that the kernel is not a rational function. For a general elementary Reinhardt domain, we obtain a representation of the kernel as an infinite series.

引用

页码：67 / 93

页数：27

共 23 条

[1] On the theory of singularity of the functions of several complex variables. The convergence problem of the regularity covers. [J].