LP bounds for Marcinkiewicz integrals associated to surfaces of revolution

被引：32

作者：

Wu, Huoxiong ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 321卷 / 02期

关键词：

Marcinkiewicz integral; surface of revolution; Littlewood-Paley theory; rough kernel;

D O I：

10.1016/j.jmaa.2005.08.087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the LP-boundedness of some Marcinkiewicz integral operators along surfaces of revolution. Some size conditions implying the L-P(Rn+1) boundedness of these operators for some fixed 1 < p < infinity are obtained. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：811 / 827

页数：17

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