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The grunsky operator and coefficient differences

 

作者: A. Z. Grinshpan,   Ch. Pommerenke,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1997）
卷期: Volume 33, issue 1-4  

页码: 113-127

 

ISSN:0278-1077

 

年代: 1997

 

DOI:10.1080/17476939708815016

 

出版商: Gordon and Breach Science Publishers

 

关键词: Quasiconformally extendible univalent functions;The Grunsky operator;Coefficient bounds;AMS No. 30C50;AMS No. 30C75;AMS No. 30C55

 

数据来源: Taylor

 

摘要:

We investigate some coefficient properties of univalent functions related to their Grunsky operators and quasiconformal extendibility. We find some bounds of the sharp growth order innand numerical estimates for coefficient differences of analytic and univalent functions in the unit disk. These results depend on a restriction of the norm of the Grunsky operator.

 

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