BOUNDEDNESS OF THE MARCINKIEWICZ INTEGRALS WITH ROUGH KERNEL ASSOCIATED TO SURFACES

被引：25
|
作者：
Ding, Yong [1 ]
Xue, Qingying [1 ]
Yabuta, Kozo [2 ]
机构：
[1] Beijing Normal Univ, Minist Educ, Sch Math Sci, Lab Math & Complex Syst BNU, Beijing 100875, Peoples R China
[2] Kwansei Gakuin Univ, Math Sci Res Ctr, Sanda 6691337, Japan
来源：
TOHOKU MATHEMATICAL JOURNAL | 2010年 / 62卷 / 02期
基金：
北京市自然科学基金; 日本学术振兴会;
关键词：
Marcinkiewicz integrals; L(p) boundedness; weighted boundedness; rough kernel; L-P-BOUNDEDNESS; SINGULAR-INTEGRALS; OPERATORS; SPACES;
D O I：
10.2748/tmj/1277298647
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the authors discuss the weighted L(p) boundedness for the rough Marcinkiewicz integrals associated to surfaces. More precisely, the kernel of our operator lacks smoothness not only on the unit sphere, but also in the radial directions. Moreover, the surface is defined by using a differentiable function with monotonicity and some properties on the positive real line. The results given in this paper improve and extend some known results.
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页码：233 / 262
页数：30
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