Boundedness of Multilinear Operators on Herz Type Spaces: Extreme Cases  

作　　者：QiangWU DaChunYANG 

机构地区：[1]DepartmentofMathematics,BeijingNormalUniversity,Beijing100875,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2005年第1期81-94,共14页数学学报（英文版）

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

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.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.

关 键 词：Multilinear operator Singular integral Fractional integral Herz space Hardy space ATOM CSMO 

分 类 号：O177.6[理学—数学]