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On asymptotically conformal curves

 

作者: V. Ya. Gutlyanskiǐ,   V. I. Ryazanov,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1994）
卷期: Volume 25, issue 4  

页码: 357-366

 

ISSN:0278-1077

 

年代: 1994

 

DOI:10.1080/17476939408814756

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C55;30C60

 

数据来源: Taylor

 

摘要:

Letfbe a quasiconformal self-mapping of the complex plane. We introduce a notion of asymptotical homogeneity of the mappingfat the prescribed point and in these terms give equivalent conditions forquasi conformal curves to be asymptotically conformal. The proofs are based on a fundamental geometrical criterion of asymptotically conformal curves obtained by Ch. Pommerenke and J. Becker.

 

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