| 圆环上一般Bergman空间中的紧Toeplitz算子 |
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| 引用本文： | 陈建军,王晓峰. 圆环上一般Bergman空间中的紧Toeplitz算子[J]. 广州大学学报(综合版), 2012, 0(3): 20-23 |
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| 作者姓名： | 陈建军 王晓峰 |
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| 作者单位： | 广州大学数学与信息科学学院,广东广州510006 |
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| 摘 要： | 主要借鉴了ZHENG和MIRJANA的方法技巧，研究了圆环上一般Bergman空间比（1〈p〈＋∞）中的，带有界符号的Toeplitz算子T的性质，并得出它要成为紧算子的充要条件——在圆环的边界上，T的Berezin变换为0．
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| 关 键 词： | Toeplitz算子 Berezin变换 Bergman空间 紧算子 |
Compact Toeplitz operator on the general Bergman space of the annulus domain |
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| CHEN Jian-jun,WANG Xiao-feng. Compact Toeplitz operator on the general Bergman space of the annulus domain[J]. Journal of Guangzhou University, 2012, 0(3): 20-23 |
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| Authors: | CHEN Jian-jun WANG Xiao-feng |
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| Affiliation: | (School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China) |
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| Abstract: | In this paper, by utilizing the methods and techniques of ZHENG and MIRJANA, we study a single Toeplitz operator Tφ with symbol φ∈ L^∞ （ Ω）, which is on the general Bergman space La^P （ 1 〈 p 〈 ＋ ∞ ）, and further conclude that T is compact if and only if its Berezin transform vanishes at the boundary of the annulus Ω. |
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| Keywords: | Toeplitz operator Berezin transform Bergman space compact operator. |
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