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.

引用

页数：23

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