title: Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón-Zygmund operators.
abstract: Let [Formula: see text] be a generalized Calderón-Zygmund operator or [Formula: see text] ( the identity operator), let [Formula: see text] and [Formula: see text] be the linear operators, and let [Formula: see text]. Denote the Toeplitz type operator by [Formula: see text]where [Formula: see text] and [Formula: see text] is fractional integral operator. In this paper, we establish the sharp maximal function estimates for [Formula: see text] when b belongs to weighted Lipschitz function space, and the weighted norm inequalities of [Formula: see text] on weighted Lebesgue space are obtained.
authors: College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, 454003 China.
authors: Yongli
authors: Y
authors: Tang
authors: College of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, 454003 China.
authors: Tao
authors: T
authors: Ban
keywords: Fractional integral; Generalized Calderón–Zygmund operator; Toeplitz type operator; Weighted Lipschitz function; Weighted norm inequality