首页   按字顺浏览 期刊浏览 卷期浏览 On the failure of optimal factorization for certain weighted bergman spaces
On the failure of optimal factorization for certain weighted bergman spaces

 

作者: Hakan Hedenmalm,   Kehe Zhu,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1992）
卷期: Volume 19, issue 3  

页码: 165-176

 

ISSN:0278-1077

 

年代: 1992

 

DOI:10.1080/17476939208814569

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C15;30C40

 

数据来源: Taylor

 

摘要:

In this note we show that the factorization theorem in [2] fails to generalize to the weighted Bergman L2-space on the disc with weight (α+1)(1−|z|2)αfor α>1; he limit 1 is sharp, because for α=1, it does generalize [3] We also show that a similar factorization theorem fails to hold generally for the ordinary Bergman L2space In multiply connected planar domains.

 

点击下载:  PDF (466KB)



返 回