| Bloch型空间上的Toeplitz 算子及分数阶导数刻画 |
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| 引用本文： | 贾策,曹广福,王晓峰,张艺渊. Bloch型空间上的Toeplitz 算子及分数阶导数刻画[J]. 四川大学学报(自然科学版), 2023, 60(3): 031001 |
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| 作者姓名： | 贾策 曹广福 王晓峰 张艺渊 |
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| 作者单位： | 广州大学数学与信息科学学院/中国科学院生物物理研究所,广州大学数学与信息科学学院,广州大学数学与信息科学学院,广州大学数学与信息科学学院 |
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| 摘 要： | 本文主要刻画了Bloch型空间上的一类Toeplitz 算子的有界性和紧性. 此外，本文还利用分数阶导数给出了空间上函数刻画的充要条件.
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| 关 键 词： | Toeplitz算子；分数阶导数；Bloch型空间 |
| 收稿时间： | 2021-01-23 |
| 修稿时间： | 2021-03-23 |
On the characterization of Toeplitz operators and fractional derivatives on Bloch-type space |
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| JIA Ce,CAO Guang-Fu,WANG Xiao-Feng and ZHANG Yi-Yuan. On the characterization of Toeplitz operators and fractional derivatives on Bloch-type space[J]. Journal of Sichuan University (Natural Science Edition), 2023, 60(3): 031001 |
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| Authors: | JIA Ce CAO Guang-Fu WANG Xiao-Feng ZHANG Yi-Yuan |
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| Affiliation: | School of Mathematics and Informattion Science, Guangzhou University/Institute of Biophysics, Chinese Academy of Sciences,School of Mathematics and Informattion Science, Guangzhou University,School of Mathematics and Informattion Science, Guangzhou University,School of Mathematics and Informattion Science, Guangzhou University |
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| Abstract: | We in this paper characterize the boundedness and compactness of a class of Toeplitz operator on the Bloch-type space. In addition, we also give a characterization for the functions in terms of fractional derivative. |
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| Keywords: | Toeplitz operator Fractional derivative Bloch-type space |
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