LP(Rm x Rn) boundedness for the Marcinkiewicz integral on product spaces

被引：16

作者：

Hu, GE

Lu, SZ ^{[1
]}

Yan, DY

机构：

[1] Univ Informat Engn, Dept Appl Math, Zhengzhou 450002, Peoples R China

[2] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2003年 / 46卷 / 01期

关键词：

multiple Marcinkiewicz integral; Fourier transform estimate; Littlewood-Paley theory;

D O I：

10.1360/03ys9008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

L-p(R-m x R-n) boundedness is considered for the multiple Marcinkiewicz integral. Some size conditions implying the L-p(R-m x R-n) boundedness of the multiple Marcinkiewicz integral for some fixed < p < infinity are obtained.

引用

页码：75 / 82

页数：8