Multiply Connected Quadrature Domains and the Bergman Kernel Function

被引：6

作者：

Crowdy, Darren ^{[1
]}

Marshall, Jonathan ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2009年 / 3卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Multiply connected; quadrature domains; Bergman kernel; BOUNDARIES;

D O I：

10.1007/s11785-008-0090-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper derives general analytical formulae for the conformal maps from multiply connected circular preimage domains to multiply connected quadrature domains by considering the Bergman kernel functions of the preimage and target domains. The new formulae are expressed in terms of the Schottky-Klein prime function. They generalize, to the case of arbitrary connectivity, a formula relevant to doubly connected domains derived by Y. Avci in 1977.

引用

页码：379 / 397

页数：19

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