Boundedness of multilinear operators on Herz type spaces: Extreme cases

被引：0
|
作者：
Wu, Q [1 ]
Yang, DC [1 ]
机构：
[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 01期
基金：
中国国家自然科学基金;
关键词：
multilinear operator; singular integral; ractional integral; Herz space; hardy space; atom; CSMO;
D O I：
10.1007/s10114-004-0407-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, two classes of closely related multilinear singular and fractional integrals, which include the commutators as special cases, are studied and their boundedness on Herz type spaces is discussed. In fact, it is proved that these operators are actually not bounded in certain extreme cases.
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页码：81 / 94
页数：14
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