Multiple singular integrals and Marcinkiewicz integrals with mixed homogeneity along surfaces

被引：5
|
作者：
Liu, Feng [1 ]
Wu, Huoxiong [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年
关键词：
singular integrals; Marcinkiewicz integrals; maximal operators; mixed homogeneity; product domains; PRODUCT DOMAINS; ROUGH KERNELS; MAXIMAL FUNCTIONS; SPACES; OPERATORS; BOUNDEDNESS; CURVES;
D O I：
10.1186/1029-242X-2012-189
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to studying the singular integrals and Marcinkiewicz integrals with mixed homogeneity along surfaces, which contain many classical surfaces as model examples, on the product domains R-m x R-n (m, n >= 2). Under rather weak size conditions of the kernels, the L-p(R-m x R-n)-boundedness for such operators is established. These results essentially extend certain previous results.
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页数：23
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