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Hankel forms on multiply connected plane domains. part two. the case of higher connectivity

 

作者: Björn Gustafsson,   Jaak Peertre,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1990）
卷期: Volume 13, issue 3-4  

页码: 239-250

 

ISSN:0278-1077

 

年代: 1990

 

DOI:10.1080/17476939008814395

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C40;47B99

 

数据来源: Taylor

 

摘要:

The boundedness criterion for Hankel forms over a plane domain of connectivity two, derived in a previous paper (Complex Variables10 (1988), 123-139). is extended to the case of higher connectivity. The main result is however that the relevant reproducing kernel extends meromorphically to the Schottly double of the domain, and this again implies the desired weak factorization.

 

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