Behavior of the riemann mapping function under complex analytic deformations of the domain
作者:
Burton Rodin,
期刊:
Complex Variables, Theory and Application: An International Journal
(Taylor Available online 1986)
卷期:
Volume 5,
issue 2-4
页码: 189-195
ISSN:0278-1077
年代: 1986
DOI:10.1080/17476938608814139
出版商: Gordon and Breach Science Publishers
关键词: 30C35
数据来源: Taylor
摘要:
Suppose that the boundary of a simply connected domain depends holomorphically on a complex parameter. Then the domain will depend on that parameter: one can ask how its normalized Riemann mapping function will depend on the parameter. Previously known results have required smoothness conditions on the boundary and have restricted the parameter to real values. In this paper we show that the Improved Lambda Lemma can be used to remove these requirements and restrictions.
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