Article ID Journal Published Year Pages File Type
4617957 Journal of Mathematical Analysis and Applications 2012 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis