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arXiv · 1204.5891

On Cantor sets and doubling measures

Marianna Csörnyei·Ville Suomala
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Abstract

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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Marianna Csörnyei, Ville Suomala. 2012-04-26. On Cantor sets and doubling measures. https://arxiv.org/abs/1204.5891

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