On Cantor sets and doubling measures

Details On Cantor sets and doubling measures On Cantor sets and doubling measures

2012-04-26

arxiv.org/abs/1204.5891v1

Mathematics

Classical Analysis and ODEs

to apper in J. Math. Anal. Appl

Scientific paper

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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