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

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Zhang Kan 1   Liu Chaomei 2   Lu Yufeng 1 *  
文摘 In this paper we prove that the boundedness and compactness of Toeplitz operator with a BMOα1 symbol on the weighted Bergman space A~α_2(B_n) of the unit ball is completely determined by the behavior of its Berezin transform, where α > -1 and n ≥ 1.
来源 Acta Mathematica Sinica. English Series ,2011,27(11):2129-2142 【核心库】
DOI 10.1007/s10114-011-0038-3
关键词 Berezin transform ; BMO ; Toeplitz operator
地址

1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024  

2. School of Science, Dalian Jiaotong University, Dalian, 116028

语种 英文
文献类型 研究性论文
ISSN 1439-8516
学科 数学
基金 国家自然科学基金
文献收藏号 CSCD:4321721

参考文献 共 15 共1页

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