Doubling measures on uniform Cantor sets

作者：Wei Chun; Wen Shengyou^*; Wen Zhixiong

来源：Journal of Mathematical Analysis and Applications, 2015, 430(1): 500-516.

DOI：10.1016/j.jmaa.2015.05.002

• Uniform Cantor set
• Doubling measure
• Extension

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.

• 出版日期2015-10-1
• 单位湖北大学; 华中科技大学