Toeplitz Operator Related to Singular Integral with Non-Smooth Kernel on Weighted Morrey Space  

作　　者：Yuexiang He 

机构地区：[1]Department of Mathematics,Jiaozuo University,Jiaozuo,Henan 454003,China

出　　处：《Analysis in Theory and Applications》2017年第3期240-252,共13页分析理论与应用（英文刊）

摘　　要：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 = T1M^b Ia T2 ＋ T3IaMbT4,where M^bf = bf, and Ib is 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.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 = T1M^b Ia T2 ＋ T3IaMbT4,where M^bf = bf, and Ib is 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.

关 键 词：Toeplitz operator non-smooth kernel weighted BMO fractional integral weighted Morrey space. 

分 类 号：O177[理学—数学]