$M^k$-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 Word: Toeplitz type operator   singular integral operator   fractional integral operator   sharp maximal function   BMO   Morrey space  
Fund ProjectL: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).
Author NameAffiliation
Dazhao CHEN 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.
Citation:
DOI:10.3770/j.issn:2095-2651.2021.05.005
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