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On bounded distortion in conformal mapping

 

作者: CH. Pommerenke,   S. E. Warschawski,  

 

期刊: Complex Variables, Theory and Application: An International Journal  (Taylor Available online 1986)
卷期: Volume 7, issue 1-3  

页码: 161-180

 

ISSN:0278-1077

 

年代: 1986

 

DOI:10.1080/17476938608814196

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C35

 

数据来源: Taylor

 

摘要:

Letfbe analytic and univalent inwith. We are interested in characterizing the functions for which (*)is bounded in any Stolz angle at. Necessary and sufficient conditions on are given in terms of extremal length as well as—for some special classes of domains—in terms of purely geometric (Euclidean) properties of . Equivalence of the boundedness of (*) and ofin any Stolz angle atis shown.

 

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