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.
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页码：447 / 460
页数：14
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