Algebraic kernel functions and representation of planar domains

被引：3

作者：

Jeong, M ^{[1
]}

Taniguchi, M

机构：

[1] Univ Suwon, Dept Math, Suwon 445743, South Korea

[2] Kyoto Univ, Grad Sch Sci, Dept Math, Kyoto 606, Japan

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2003年 / 40卷 / 03期

关键词：

conformal representation; Ahlfors map; Bergman kernel; Szego kernel; algebraic function; canonical domain;

D O I：

10.4134/JKMS.2003.40.3.447

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the non-degenerate n-connected canonical domains with n > I related to the conjecture of S. Bell in [4]. They are connected to the algebraic property of the Bergman kernel and the Szego kernel. We characterize the non-degenerate doubly connected canonical domains.

引用

页码：447 / 460

页数：14

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