Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617957 | Journal of Mathematical Analysis and Applications | 2012 | 6 Pages |
Abstract
A criterion that X carries only purely atomic doubling measures and a criterion that X does not carry any purely atomic doubling measures are both formulated, where X is a compact subset of R with and FX is the set of its isolated points. Analogues are also obtained for quasisymmetrically thin sets and thick sets.
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