Toeplitz Operators with BMO Symbols on the Weighted Bergman Space of the Unit Ball

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	Toeplitz Operators with BMO Symbols on the Weighted Bergman Space of the Unit Ball
其他题名	Toeplitz operators with BMO symbols on the weighted Bergman space of the unit ball
	Zhang Kan 1; Liu Chao Mei 3; Lu Yu Feng 1
	2011
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	27 期号:11 页码:2129-2142
摘要	In this paper we prove that the boundedness and compactness of Toeplitz operator with a BMO(alpha)(1) symbol on the weighted Bergman space A(alpha)(2)(B(n)) of the unit ball is completely determined by the behavior of its Berezin transform, where alpha > -1 and n >= 1.
其他摘要	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.
关键词	BOUNDED SYMMETRIC DOMAINS BEREZIN TRANSFORM HANKEL-OPERATORS Toeplitz operator BMO Berezin transform
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China]
CSCD记录号	CSCD:4321721
引用统计	被引频次：2[CSCD] [CSCD记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/149482
专题	中国科学院金属研究所
作者单位	1.大连大学 2.中国科学院金属研究所 3.大连交通大学
推荐引用方式 GB/T 7714	Zhang Kan,Liu Chao Mei,Lu Yu Feng. Toeplitz Operators with BMO Symbols on the Weighted Bergman Space of the Unit Ball[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2011,27(11):2129-2142.
APA	Zhang Kan,Liu Chao Mei,&Lu Yu Feng.(2011).Toeplitz Operators with BMO Symbols on the Weighted Bergman Space of the Unit Ball.ACTA MATHEMATICA SINICA-ENGLISH SERIES,27(11),2129-2142.
MLA	Zhang Kan,et al."Toeplitz Operators with BMO Symbols on the Weighted Bergman Space of the Unit Ball".ACTA MATHEMATICA SINICA-ENGLISH SERIES 27.11(2011):2129-2142.