BOUNDEDNESS OF BEREZIN TRANSFORM ON HERZ SPACES

被引：0
|
作者：
Cho, Chu-Hee [1 ]
Na, Kyunguk [2 ]
机构：
[1] Seoul Natl Univ, Sch Math Sci, Seoul 151742, South Korea
[2] Hanshin Univ, Gyeonggi 447791, South Korea
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2012年 / 49卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
Berezin transform; Schatten space; Herz space; TOEPLITZ-OPERATORS;
D O I：
10.4134/JKMS.2012.49.4.829
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give the condition for the boundedness of the Berezin transforms on Herz spaces with a normal weight on the unit ball of C-n. And we provide the integral estimates concerning pluriharmonic kernel functions. Using this, we finally obtain the growth estimates of the Berezin transforms on such Herz spaces.
引用
收藏
页码：829 / 842
页数：14
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