Weighted Norm Inequalities for Toeplitz Type Operator Related to Singular Integral Operator with Variable Kernel

作     者：Yuexiang He 

作者机构：Department of MathematicsJiaozuo UniversityJiaozuo 454003HenanChina 

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

年 卷 期：2019年第35卷第4期

页      面：377-391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 type operator variable Calderon-Zygmund kernel fractional integral weighted Lipschitz space 

摘      要：Let Tk,1 be the singular integrals with variable Calderón-Zygmund kernels or ±Ⅰ(the identity operator), let Tk,2 and Tk,4 be the linear operators, and let Tk,3= ±Ⅰ.Denote the Toeplitz type operator by ■ where Mbf = bf, and Ⅰα is the fractional integral operator. In this paper, we investigate the boundedness of the operator on weighted Lebesgue space when b belongs to weighted Lipschitz space.