| 广义Fock空间之间的Volterra型积分算子与复合算子的乘积 |
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| 引用本文： | 罗小娟,王晓峰,夏锦. 广义Fock空间之间的Volterra型积分算子与复合算子的乘积[J]. 四川大学学报(自然科学版), 2020, 57(1): 32-42 |
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| 作者姓名： | 罗小娟 王晓峰 夏锦 |
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| 作者单位： | 广州大学数学与信息科学学院,广州510006;广州大学数学与信息科学学院,广州510006;广州大学数学与信息科学学院,广州510006 |
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| 摘 要： | 本文利用Berezin变换等方法等价刻画了复平面的广义Fock空间之间与Fock型空间上的VOLTERRA型算子与复合算子乘积的有界性,紧性,Schatten-p类性质,还利用Berezin变换得到了这些算子本性范数的估计。
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| 关 键 词： | Volterra型积分算子 复合算子 广义Fock空间 Berezin变换 |
| 收稿时间： | 2019-03-16 |
| 修稿时间： | 2019-04-09 |
Product of Volterra type integral operators and composition operators between generalized Fock spaces |
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| LUO Xiao-Juan,WANG Xiao-Feng and XIA Jin. Product of Volterra type integral operators and composition operators between generalized Fock spaces[J]. Journal of Sichuan University (Natural Science Edition), 2020, 57(1): 32-42 |
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| Authors: | LUO Xiao-Juan WANG Xiao-Feng XIA Jin |
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| Affiliation: | Guangzhou university, school of mathimatics and information science,Guangzhou university, school of mathimatics and information science |
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| Abstract: | In this paper, we obtain equivalent characterization for boundedness,compactness, and Schatten class properties of product of Volterra type integral andcomposition operators between generalized Fock spaces and on Fock-type space in termsof certain Berezin transforms on the complex plane C. We also estimate the essentialnorms of these operators in terms of the Berezin transforms. |
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| Keywords: | Volterra operator Composition operator Generalized Fock spaces Fock-type space |
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