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Lipschltz condition for conformal maps and john domains*

 

作者: V.V. Andrievskii,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1992）
卷期: Volume 19, issue 3  

页码: 177-183

 

ISSN:0278-1077

 

年代: 1992

 

DOI:10.1080/17476939208814570

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C20

 

数据来源: Taylor

 

摘要:

Let E⊂C be a simply connected bounded domain, f a conformal mapping {w:|w|<1)=: D→E. Becker and Pommerenke [2] constructed the examplc of a domain E such that E is not a John domain [4,6], but f satisfies on D a Hölder condition with some exponent α:0<1. In this paper an example of a domain with similar properties for α=1 is constructed.

 

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