Doubling measures on uniform Cantor sets
Metric Geometry
2015-06-18 v1
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.
Keywords
Cite
@article{arxiv.1406.1269,
title = {Doubling measures on uniform Cantor sets},
author = {Chun Wei and Shengyou Wen and Zhixiong Wen},
journal= {arXiv preprint arXiv:1406.1269},
year = {2015}
}