Doubling measures on Whitney modification sets |
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| Authors: | Xiaohua Wang Shengyou Wen Zhixiong Wen |
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| Affiliation: | a Department of Mathematics, Wuhan University, Wuhan 430072, China
b Department of Mathematics, Hubei University, Wuhan 430062, China |
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| Abstract: | A Whitney modification set in R is a set of the form E∪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. |
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| Keywords: | Whitney modification set Whitney modification measure Doubling measure |
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