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On properties of cauchy transforms*

 

作者: D. J. Hallenbeck,   K. Samotij,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1998）
卷期: Volume 36, issue 2  

页码: 189-193

 

ISSN:0278-1077

 

年代: 1998

 

DOI:10.1080/17476939808815108

 

出版商: Gordon and Breach Science Publishers

 

关键词: Fractional Cauchy transforms;Stolz angle;Primary30E20;Secondary 30D99

 

数据来源: Taylor

 

摘要:

LetS(θ) denote a Stolz-type angle centered ateiθcontained in the unit disk Δ = {z: |z| < 1}. In this paper we prove that iffis a fractional analytic Cauchy-Stieltjes transform on Δ, then |f′(z)|2is integrable with respect to area measure onS(θ) for almost every θ.

 

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