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arxiv: 1204.5891 · v1 · pith:FQRWXCIRnew · submitted 2012-04-26 · 🧮 math.CA

On Cantor sets and doubling measures

classification 🧮 math.CA
keywords cantordoublingmeasuressetsreal-lineatomiccertainclass
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For a large class of Cantor sets on the real-line, we find sufficient and necessary conditions implying that a set has positive (resp. null) measure for all doubling measures of the real-line. We also discuss same type of questions for atomic doubling measures defined on certain midpoint Cantor sets.

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