Multilinear Singular and Fractional Integrals

作     者：Yong DING Shan Zhen LU Kz YABUTA 

作者机构：School of Matematical SciencesBeijing Normal Unioversity School of Science and Technology Kwansei Gakuin University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2006年第22卷第2期

页      面：347-356页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by RFDP of China (Grant No. 20050027025) NSF of China (Grant No. 10571014, 10571015) 

主　　题：commutators multilinear operators singular and fractional integrals Lp spaces Hardy 

摘      要：In this paper, we treat a class of non-standard commutators with higher order remainders in the Lipschitz spaces and give （L^v, L^q）, （H^p, L^q） boundedness and the boundedness in the Triebel- Lizorkin spaces. Our results give simplified proofs of the recent works by Chen, and extend his result.