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Doubling measures on Whitney modification sets

被引：3
|
作者：
Wang, Xiaohua [1 ,2 ]
Wen, Shengyou [1 ]
Wen, Zhixiong [2 ]
机构：
[1] Hubei Univ, Dept Math, Wuhan 430062, Peoples R China
[2] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 342卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Whitney modification set; Whitney modification measure; doubling measure;
D O I：
10.1016/j.jmaa.2007.12.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Whitney modification set in R is a set of the form E boolean OR F(W), where E is a nonempty closed set in R, W is a Whitney decomposition of R \ E, and F(W) consists of centers of intervals in W. We prove that a measure on a Whitney modification set is doubling if and only if it is the Whitney modification of a doubling measure on R. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：761 / 765
页数：5
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