2012/04/26 by Marianna Csörnyei, Csörnyei, Marianna, Ville Suomala +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA
paper · pdf · doi:10.48550/arxiv.1204.5891
to apper in J. Math. Anal. Appl
arxiv created 2012/04/26 · arxiv updated 2012/04/27
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.