WEIGHTED NORM INEQUALITIES FOR THE COMMUTATORS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS

作     者：Hu Guoen Zhu Yueping Hu Guoen Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450002, China Zhu Yueping School of Science, Nantong University, Nantong 226007, China

作者机构：Department of Applied Mathematics Zhengzhou Information Science and Technology Institute Zhengzhou 450002 China School of Science Nantong University Nantong 226007 China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2011年第31卷第3期

页      面：749-764页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

基　　金：This research was supported by the NSFC (10971228) 

主　　题：multilinear Calderón-Zygmund operator weighted norm inequality commutator Caldern-Zygmund decomposition 

摘      要：In this paper, the authors consider the weighted estimates for the commutators of multilinear Calderón-Zygmund *** introducing an operator which shifts the commutation, and establishing the weighted estimates for this new operator, the authors prove that, if p_1 ∈ （1,∞）, p_2,…,p_m ∈（1,∞], p ∈ （0,∞） with 1/p =Σ1≤k≤ m 1/pk, then for any weight w, the commutators of m-linear Galderón-Zygmund operator are bounded from L P1（R n,M_l（logL） σw）× p2（Rn,M~w）×...×Lpm（Rn,Mw） to Lp（Rn,w）with σ to be a constant depending only on p_1 and the order of commutator