Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774972 | Journal of Mathematical Analysis and Applications | 2017 | 7 Pages |
Abstract
We prove that for every nonnegative, increasing and right continuous function g on [0,n] with g(n)=1 and g(ϵ)=0 for some ϵâ(0,n) there exists a doubling probability measure μ on [0,1]n such that the distribution Gμ of the lower local dimension of μ is g.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fengji Peng, Shengyou Wen,