On Cantor sets and doubling measures
Classical Analysis and ODEs
2012-04-27 v1
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.
Keywords
Cite
@article{arxiv.1204.5891,
title = {On Cantor sets and doubling measures},
author = {Marianna Csörnyei and Ville Suomala},
journal= {arXiv preprint arXiv:1204.5891},
year = {2012}
}
Comments
to apper in J. Math. Anal. Appl