On rough Marcinkiewicz integrals along surfaces

被引：0
|
作者：
Wu, Huo Xiong [1 ]
Xu, Jian Kai [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2010年 / 26卷 / 04期
关键词：
Marcinkiewicz integrals; surfaces; maximal operator; Hardy space; rough kernel; L-P BOUNDS; MAXIMAL FUNCTIONS; SINGULAR-INTEGRALS; OPERATORS; KERNELS; BOUNDEDNESS; CURVES; REVOLUTION; SPACES;
D O I：
10.1007/s10114-010-7457-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors establish the L (p) -mapping properties of certain classes of Marcinkiewicz integral operators along surfaces with rough kernels. The results in this paper essentially extend as well as improve previously known results.
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页码：717 / 730
页数：14
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