| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4622343 | Journal of Mathematical Analysis and Applications | 2007 | 8 Pages |
Abstract
It is shown that there is a compact set X⊂[0,1] with dimHX=1 on which all doubling measures are purely atomic. It is also shown that there is a compact set X⊂[0,1] with a dense set of isolated points and dimHX=0 on which no doubling measures are purely atomic.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
