| $M^k$-Type Sharp Estimates and Boundedness on Morrey Space for Toeplitz Type Operators Associated to Fractional Integral and Singular Integral Operator with Non-Smooth Kernel |
| Received:July 09, 2020 Revised:November 15, 2020 |
| Key Words:
Toeplitz type operator singular integral operator fractional integral operator sharp maximal function BMO Morrey space
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11901126) and the Scientific Research Funds of Hunan Provincial Education Department (Grant No.19B509). |
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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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2021.05.005 |
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