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An Integral Operator onHp

 

作者: Alexandru Aleman,   Aristomenis G. Siskakis,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1995）
卷期: Volume 28, issue 2  

页码: 149-158

 

ISSN:0278-1077

 

年代: 1995

 

DOI:10.1080/17476939508814844

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30D55;47B38;46E15;47D50

 

数据来源: Taylor

 

摘要:

Letgbe an analytic function on the unit diskD. We study the operatoron the Hardy spacesHp. We show thatTgis bounded onHp, 1 ≤p< ∞ it and only ifgε BMOA and compact if and only ifgε VOMA. Further on the Hilbert spaceH2Tgis in the Schattcn ρ-class it and only ifgis in the Besov spaceBp, 1 <p< ∞. A relation ofTgwith integration operators is also discussed.

 

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