| 有限秩Toeplitz算子的(半)换位子 |
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| 引用本文： | 朱若卫,于涛.有限秩Toeplitz算子的(半)换位子[J].应用泛函分析学报,2010,12(2):160-163. |
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| 作者姓名： | 朱若卫 于涛 |
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| 作者单位： | 浙江师范大学,数学系,金华,321004 |
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| 摘 要： | 获得了Bergman空间上形如(T_f,T_g]-T_(h~n)和T_f,T_g]-T_(h~n)的算子为有限秩时的充要条件,其中f,g,h均为有界调和函数,n为非负自然数.
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| 关 键 词： | Bergman空间 Toeplitz算子 有限秩算子 |
Finite Rank(semi)Commutator of Toeplitz Operators |
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| ZHU Ruowei,YU Tao.Finite Rank(semi)Commutator of Toeplitz Operators[J].Acta Analysis Functionalis Applicata,2010,12(2):160-163. |
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| Authors: | ZHU Ruowei YU Tao |
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| Institution: | 9Department of Mathematics, Zhejiang Normal University, Yinhua 321004, China) |
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| Abstract: | In this paper we obtain a necessary and sufficient condition for the operators （Tf, Tg]--Thn and Tf,Tg] -Thn, for n ∈ N＋ being finite rank on Bergman space respectively, where f,g, h are bounded harmonic functions. |
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| Keywords: | Bergman space Toeplitz operator finite rank operator |
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