Multilinear singular and fractional integrals

被引:10
|
作者
Ding, Y [1 ]
Lu, SZ
Yabuta, K
机构
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Kwansei Gakuin Univ, Sch Sci & Technol, Sanda 6691337, Japan
基金
中国国家自然科学基金;
关键词
commutators; multilinear operators; singular and fractional integrals; L-p spaces; Hardy spaces; Lipschitz spaces; Triebel-Lizorkin spaces;
D O I
10.1007/s10114-005-0662-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we treat a class of non-standard commutators with higher order remainders in the Lipschitz spaces and give (L-p, 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.
引用
收藏
页码:347 / 356
页数:10
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