DOUBLING MEASURES ON GENERALIZED CANTOR SETS

被引：0
|
作者：
Sun, Peng [1 ]
Wang, Xiaohua [1 ,2 ]
机构：
[1] Cent Univ Finance & Econ, China Econ & Management Acad, Beijing 100081, Peoples R China
[2] Shenzhen Univ, Inst Adv Study, Shenzhen 518060, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 06期
关键词：
Cantor set; binomial measure; doubling measure;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the doubling property of binomial measures on generalized ternary Cantor subsets of [0,1]. We find some new phenomena. There are three different cases. In the first case, we obtain an equivalent condition for the measure to be doubling. In the other cases, we show that the condition is not necessary. Then facts and partial results are discussed.
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页码：1551 / 1560
页数：10
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