arXiv:1204.5891 Abstract | arXiv Analytics

arXiv:1204.5891 [math.CA]Abstract References Reviews Resources

On Cantor sets and doubling measures

Published 2012-04-26Version 1

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.

Comments: to apper in J. Math. Anal. Appl

Categories: math.CA

Keywords: midpoint cantor sets, large class, sufficient, atomic doubling measures, necessary conditions implying

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