Toeplitz operators with BMO symbols on the weighted Bergman space of the unit ball

被引：0
作者：
Kan Zhang
Chao Mei Liu
Yu Feng Lu
机构：
[1] Dalian University of Technology,School of Mathematical Sciences
[2] Shenyang Agricultural University,College of Sciences
[3] Dalian Jiaotong University,School of Science
来源：
Acta Mathematica Sinica, English Series | 2011年 / 27卷
关键词：
Toeplitz operator; BMO; Berezin transform; 47B35; 32A37;
D O I：
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学科分类号：
摘要：
In this paper we prove that the boundedness and compactness of Toeplitz operator with a BMOα1 symbol on the weighted Bergman space Aα2(Bn) of the unit ball is completely determined by the behavior of its Berezin transform, where α > −1 and n ≥ 1.
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页码：2129 / 2142
页数：13
相关论文
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