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Toeplitz Operators with BMO Symbols on the Weighted Bergman Space of the Unit Ball
Alternative TitleToeplitz operators with BMO symbols on the weighted Bergman space of the unit ball
Zhang Kan1; Liu Chao Mei3; Lu Yu Feng1
2011
Source PublicationACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN1439-8516
Volume27Issue:11Pages:2129-2142
AbstractIn 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.
Other AbstractIn 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.
KeywordBOUNDED SYMMETRIC DOMAINS BEREZIN TRANSFORM HANKEL-OPERATORS Toeplitz operator BMO Berezin transform
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Foundation of China]
CSCD IDCSCD:4321721
Citation statistics
Cited Times:2[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/149482
Collection中国科学院金属研究所
Affiliation1.大连大学
2.中国科学院金属研究所
3.大连交通大学
Recommended Citation
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.
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