| Dirichlet空间上Toeplitz乘积的有界性 |
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| 引用本文： | 于涛,陆俏飞.Dirichlet空间上Toeplitz乘积的有界性[J].浙江师范大学学报(自然科学版),2014(1):20-25. |
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| 作者姓名： | 于涛 陆俏飞 |
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| 作者单位： | 浙江师范大学数理与信息工程学院,浙江金华321004 |
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| 基金项目： | 国家自然科学基金资助项目（11271332）;浙江省自然科学基金资助项目（LQ12A01004） |
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| 摘 要： | 对于Dirichlet空间中的函数f和g,应用Berezin变换,研究Dirichlet空间上Toeplitz乘积TfTg的有界性,分别给出TfTg在Dirichlet空间上有界的充分条件和必要条件.
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| 关 键 词： | Dirichlet空间 Toeplitz算子 Berezin变换 Bergman空间 |
The boundedness of Toeplitz products on the Dirichlet space |
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| YU Tao,LU Qiaofei.The boundedness of Toeplitz products on the Dirichlet space[J].Journal of Zhejiang Normal University Natural Sciences,2014(1):20-25. |
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| Authors: | YU Tao LU Qiaofei |
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| Institution: | ( College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua Zhejiang 321004, China } |
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| Abstract: | It was considered the boundedness of Toeplitz products TfTg which was densely defined on the Dirichlet space with the symbol functions f and g in the Dirichlet space. By the Berezin transformation, a suffi- cient condition and a necessary condition for the oroducts TfTg to be bounded were obtained respectively. |
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| Keywords: | Dirichlet space Toeplitz operator Berezin transform Bergman space |
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