| n维Fock空间上Toeplitz算子的若干性质 |
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| 引用本文： | 温慧.n维Fock空间上Toeplitz算子的若干性质[J].嘉兴学院学报,2011,23(3):13-21. |
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| 作者姓名： | 温慧 |
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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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| 摘 要： | 为研究n维Fock空间上以正测度为符号的Toep litz算子的性质,仿照文献1]中的方法,主要通过Berezin变换、n维Fock空间上的Carleson测度来刻画Toep litz算子的有界性、紧性,并得到了有界性和紧性的几个等价条件。
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| 关 键 词： | Fock空间 平均函数μ（B（z r）） Berezin变换μ（z） |
Some Properties of Toeplita Operator on Fock Space in Cn |
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| WEN Hui.Some Properties of Toeplita Operator on Fock Space in Cn[J].Journal of Jiaxing College,2011,23(3):13-21. |
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| Authors: | WEN Hui |
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| Institution: | WEN Hui(School of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua,Zhejiang 321004) |
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| Abstract: | This paper mainly studies Toeplitz operator on the Fock space in Cn with positive measures as symbols.Imitating the method of reference1],the author characterizes bounded and compact Toeplitz operator with positive symbols by Berezin transform and Carleson-type measure on Fock space in Cn and gives several other equivalent conditions. |
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| Keywords: | Berezin |
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