Weighted boundedness for rough Marcinkiewicz integrals with different weights

被引：1

作者：

Ding, Yong ^{[2
]}

Lin, Chin-Cheng ^{[1
]}

机构：

[1] Natl Cent Univ, Dept Math, Chungli 320, Taiwan

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 05期

关键词：

Marcinkiewicz integral; Rough kernel; Weights pair; L-P-BOUNDEDNESS; LP SPACES; OPERATORS; KERNELS;

D O I：

10.1016/j.na.2009.10.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the authors give the weighted boundedness of the Marcinkiewicz integral operators for different weight functions, where the kernel functions of the operators discussed here are without smoothness not only on the sphere but also in the radial direction. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2159 / 2169

页数：11

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