Doubling measures on Whitney modification sets

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:342

Article

Wang, Xiaohua^1,2  Wen, Shengyou¹  Wen, Zhixiong² 

[1] Hubei Univ, Dept Math, Wuhan 430062, Peoples R China

[2] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China

关键词: Whitney modification set;    Whitney modification measure;    doubling measure;   

DOI  :  10.1016/j.jmaa.2007.12.054

来源: Elsevier

【 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.

【 授权许可】

Free