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Angular derivatives of the barycentric extension

 

作者: Clifford J. Earle,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1989）
卷期: Volume 11, issue 3-4  

页码: 189-195

 

ISSN:0278-1077

 

年代: 1989

 

DOI:10.1080/17476938908814337

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C60;30C80

 

数据来源: Taylor

 

摘要:

LetS1be the boundary of the open unit diskDand letbe the barycentric extension of the sense-preserving homeomorphism. We prove thathas an angular derivative at any boundary point wherehas a non-zero derivative. The proof depends on characterizing certain differentiability properties ofandin terms of their behavior under composition with certain conformal automorphisms ofD.

 

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