| 与分数次积分和具有非光滑的奇异积分算子相关的Toeplitz型算子在Morrey空间的有界性 |
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| 引用本文： | 陈大钊.与分数次积分和具有非光滑的奇异积分算子相关的Toeplitz型算子在Morrey空间的有界性[J].数学研究及应用,2021,41(5):481-496. |
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| 作者姓名： | 陈大钊 |
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| 作者单位： | 邵阳学院理学院, 湖南 邵阳 422000 |
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| 基金项目： | 国家自科基金(Grant No.11901126),湖南省教育厅优秀青年项目(Grant No.19B509). |
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| 摘 要： | 本文证明了与分数次积分和具有非光滑的奇异积分算子相关的Toeplitz型算子的sharp极大函数估计,做为应用,得到了该算子在Morrey空间的有界性.
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| 关 键 词： | Toeplitz型算子 奇异积分算子 分数次积分算子 sharp极大函数 BMO Morrey空间 |
| 收稿时间： | 2020/7/9 0:00:00 |
| 修稿时间： | 2020/11/15 0:00:00 |
$M^k$-Type Sharp Estimates and Boundedness on Morrey Space for Toeplitz Type Operators Associated to Fractional Integral and Singular Integral Operator with Non-Smooth Kernel |
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| Dazhao CHEN.$M^k$-Type Sharp Estimates and Boundedness on Morrey Space for Toeplitz Type Operators Associated to Fractional Integral and Singular Integral Operator with Non-Smooth Kernel[J].Journal of Mathematical Research with Applications,2021,41(5):481-496. |
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| Authors: | Dazhao CHEN |
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| Affiliation: | School of Science, Shaoyang University, Hunan 422000, P. R. China |
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| Abstract: | In this paper, we prove the $M^k$-type sharp maximal function estimates for the Toeplitz type operators associated to the fractional integral and singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of the operators on the Morrey space. |
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| Keywords: | Toeplitz type operator singular integral operator fractional integral operator sharp maximal function BMO Morrey space |
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