Toeplitz Operator Related to Singular Integral with Non-Smooth Kernel on Weighted Morrey Space |
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| Authors: | Yuexiang He |
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| Affiliation: | Department of Mathematics,Jiaozuo University, Jiaozuo, Henan 454003, China |
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| Abstract: | Let T1 be a singular integral with non-smooth kernel or ±I, let T2 and T4 be the linear operators and let T3=±I. Denote the Toeplitz type operator by Tb=T1MbIαT2+T3IαMbT4, where Mb f=b f , and Iαis the fractional integral operator. In this paper, we investigate the boundedness of the operator Tb on the weighted Morrey space when b belongs to the weighted BMO space. |
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| Keywords: | Toeplitz operator non-smooth kernel weighted BMO fractional integral weighted Morrey space |
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