Boundedness of Multilinear Operators on Herz Type Spaces: Extreme Cases

作     者：QiangWU DaChunYANG 

作者机构：DepartmentofMathematicsBeijingNormalUniversityBeijing100875P.R.China 

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

年 卷 期：2005年第21卷第1期

页      面：81-94页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This project is supported by the RFDP(No.20020027004) NNSF(No.10271015)of China 

主　　题：Multilinear operator Singular integral Fractional integral Herz space Hardy space Atom CSMO 

摘      要：In this paper, two classes of closely related multilinear singular andfractional integrals, which include the commutators as special cases, are studied and theirboundedness on Herz type spaces is discussed. In fact, it is proved that these operators areactually not bounded in certain extreme cases.