DOUBLING MEASURES ON GENERALIZED CANTOR SETS

DOUBLING MEASURES ON GENERALIZED CANTOR SETS

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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. 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.

作者孙鹏王小华

机构地区 China Economics and Management Academy Institute for Advanced Study

出处《Acta Mathematica Scientia》 SCIE CSCD 2013年第6期1551-1560,共10页 数学物理学报（B辑英文版）

基金 supported by NSFC(11101447),supported by NSFC(11201500)

关键词 Cantor set binomial measure doubling measure Cantor set binomial measure doubling measure

分类号 O174.12 [理学—基础数学] TE373 [石油与天然气工程—油气田开发工程]

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Acta Mathematica Scientia

2013年第6期

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DOUBLING MEASURES ON GENERALIZED CANTOR SETS

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