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RecoveringHpfunctions from partial boundary data

 

作者: John T. Anderson,   Joseph A. Cima,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1993）
卷期: Volume 21, issue 1-2  

页码: 115-124

 

ISSN:0278-1077

 

年代: 1993

 

DOI:10.1080/17476939308814620

 

出版商: Gordon and Breach Science Publishers

 

关键词: 32A35;32A40

 

数据来源: Taylor

 

摘要:

We consider the problem of recovering a function in the Hardy spaceHpof the ballBinfrom its restriction to a relatively open subsetEof the boundary ofB. We construct a sequence of operators definedon the space ofLpCR functions onE, taking values inHp, such that ifis the restriction toEof the boundary values of, thenconverges tofinHp, 1 <p< ∞.

 

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