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

作　　者：Yuexiang He 

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

出　　处：《Analysis in Theory and Applications》2019年第4期377-391,共15页分析理论与应用（英文刊）

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.

关 键 词：TOEPLITZ TYPE OPERATOR variable CALDERON-ZYGMUND kernel FRACTIONAL integral weighted LIPSCHITZ space 

分 类 号：O177.6[理学—数学]