| 多连通域的Bergman空间上的Toeplitz算子 |
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| 引用本文： | 于涛,曹广福.多连通域的Bergman空间上的Toeplitz算子[J].东北数学,2001,17(4):487-493. |
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| 作者姓名： | 于涛 曹广福 |
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| 作者单位： | YUTao(Department of Mathematics，Sichuan University，Chengdu，610064; Department of Mathematics，Fushun Petroleum Institute，Fushun，Liaoning，113001)CAO Guangfu (Department of Mathematics，Sichuan University，Chengdu，610064) |
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| 基金项目： | This work was supported by the NSF (19971061) of China and the Science Foundation ofFushun Petroleum Institute. |
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| 摘 要： | In this paper, we investigate the Toeplitz operators with positive measure symbols on the Bergman spaces of bounded multi-connected domains and show that a Toeplitz operator is bounded or compact if and only if the symbol measure is a Carleson or vanishing Carleson measure respectively.
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| 关 键 词： | 伯格曼空间 卡尔森测度 Toeplitz算子 复平面 希尔伯特空间 |
Toeplitz Operators on the Bergman Space of Multi-connected Domains |
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| YUTao.Toeplitz Operators on the Bergman Space of Multi-connected Domains[J].Northeastern Mathematical Journal,2001,17(4):487-493. |
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| Authors: | YUTao |
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| Institution: | [1]DepartmentofMathematics,FushunPetroleumInstitute,Fushun,Liaoning,113001 [2]DepartmentofMathematics,SichuanUniversity,Chengdu,610064 |
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| Abstract: | In this paper, we investigate the Toeplitz operators with positive measure symbols on the Bergman spaces of bounded multi-connected domains and show that a Toeplitz operator is bounded or compact if and only if the symbol measure is a Carleson or vanishing Carleson measure respectively. |
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| Keywords: | Bergman space Toeplitz operator Carleson measure multi-connected domain |
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