Doubling measures on uniform Cantor sets

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:430

Article

Wei, Chun¹  Wen, Shengyou²  Wen, Zhixiong¹ 

[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China

[2] Hubei Univ, Dept Math, Wuhan 430062, Peoples R China

关键词: Uniform Cantor set;    Doubling measure;    Extension;   

DOI  :  10.1016/j.jmaa.2015.05.002

来源: Elsevier

【 摘 要 】

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. (C) 2015 Published by Elsevier Inc.

【 授权许可】

Free