| Toeplitz Operators with BMO Symbols on the Weighted Bergman Space of the Unit Ball | |
| Alternative Title | Toeplitz operators with BMO symbols on the weighted Bergman space of the unit ball |
| Zhang Kan1; Liu Chao Mei3; Lu Yu Feng1 | |
| 2011 | |
| Source Publication | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| ISSN | 1439-8516 |
| Volume | 27Issue:11Pages:2129-2142 |
| Abstract | 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. |
| Other Abstract | 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. |
| Keyword | BOUNDED SYMMETRIC DOMAINS BEREZIN TRANSFORM HANKEL-OPERATORS Toeplitz operator BMO Berezin transform |
| Indexed By | CSCD |
| Language | 英语 |
| Funding Project | [National Natural Science Foundation of China] |
| CSCD ID | CSCD:4321721 |
| Citation statistics |
Cited Times:2[CSCD]
[CSCD Record]
|
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/149479 |
| Collection | 中国科学院金属研究所 |
| Affiliation | 1.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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