On Marcinkiewicz integral with homogeneous kernels

被引：43
|
作者：
Ding, Y [1 ]
Lu, SZ [1 ]
Xue, QY [1 ]
机构：
[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 245卷 / 02期
基金：
美国国家科学基金会;
关键词：
Marcinkiewicz integral; BMO; Campanato spaces l(alpha; p);
D O I：
10.1006/jmaa.2000.6765
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors study the boundedness of the Marcinkiewicz integral mu(Omega) on BMO(R-n) and the Campanato spaces E-alpha,E-p(R-n). Here Omega is homogeneous of degree zero satisfying a class of L-q-Dini conditions. The results in this paper are a substantial improvement of some known results. (C) 2000 Academic Press.
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页码：471 / 488
页数：18
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