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

作     者：Yuexiang He 

作者机构：Department of MathematicsJiaozuo UniversityJiaozuoHenan 454003China 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2017年第33卷第3期

页      面：240-252页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Toeplitz operator non-smooth kernel weighted BMO fractional integral weighted Morrey space. 

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.