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Removable singularities for hardy spaces

 

作者: Anders Björn,  

 

期刊: Complex Variables, Theory and Application: An International Journal  (Taylor Available online 1998)
卷期: Volume 35, issue 1  

页码: 1-25

 

ISSN:0278-1077

 

年代: 1998

 

DOI:10.1080/17476939808815069

 

出版商: Gordon and Breach Science Publishers

 

关键词: Analytic capacity;analytic continuation;analytic function;capacity;conformal;invariant;Hardy class;Hp-capacity;Hp-space;harmonic majorant;harmonic measure;Hausdorff dimension;Hausdorff measure;holomorphie function;logarithmic capacity;newtonian capacity;R

 

数据来源: Taylor

 

摘要:

In this paper we study removable singularities for Hardy spaces of analytic funtions on general domains. Two different definitions are given. For compact sets they turn out to be equal and moreover independent of the surrounding domain, as was proved by D. A Hejhal For non-compact sets the difference between the definitions is studied.

 

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