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The iteration of the berezintransform in the polydisc*

 

作者: Jaesung Lee,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1998）
卷期: Volume 36, issue 4  

页码: 347-359

 

ISSN:0278-1077

 

年代: 1998

 

DOI:10.1080/17476939808815117

 

出版商: Gordon and Breach Science Publishers

 

关键词: Berezin transform;joint eigenspaces;n-harmonic;AMS No. 47A15;46C15

 

数据来源: Taylor

 

摘要:

This paper describes the infinite iteration of the Berezin transformBfwhenfbelongs to theLpspace in the polydisc with respect to the invariant measure. When, we get. Whenf∈L1,lim Bn:fexists only whenand the limit is 0. Whenf∈L∞, limBnexists if and only iff=h+gfor somen-harmonichand

 

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