SOME REMARKS ON MARCINKIEWICZ INTEGRALS ALONG SUBMANIFOLDS

被引：2
|
作者：
Li, Wenjuan [1 ]
Yabuta, Kozo [2 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
[2] Kwansei Gakuin Univ, Math Sci Res Ctr, Sanda 6691337, Japan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 05期
基金：
日本学术振兴会;
关键词：
Marcinkiewicz integrals; L-p boundedness; Rough kernel; L-P-BOUNDEDNESS; BLOCK SPACES; OPERATORS;
D O I：
10.11650/twjm/1500406789
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the L-p boundedness for a class of parametric Marcinkiewicz integral operators associated to submanifolds under the L(log L)(alpha)(Sn-1) or Block space condition on the kernel functions. Our results improve the recent results by Al-Qassem and Pan in Studia Mathematica.
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页码：1647 / 1679
页数：33
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