Doubling measures on uniform Cantor sets
arXiv:1406.1269 · doi:10.1016/j.jmaa.2015.05.002
Abstract
We obtain a complete description for a probability measure to be doubling on an arbitrarily given uniform Cantor set. The question of which doubling measures on such a Cantor set can be extended to a doubling measure on [0; 1] is also considered.