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arXiv · 1406.1269

Doubling measures on uniform Cantor sets

Chun Wei·Shengyou Wen·Zhixiong Wen
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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.

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Chun Wei, Shengyou Wen, Zhixiong Wen. 2014-06-05. Doubling measures on uniform Cantor sets. https://doi.org/10.1016/j.jmaa.2015.05.002

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