关于自相似测度绝对连续的测度的点密度测度

POINT-DENSITY MEASURE OF MEASURES ABSOLUTELY CONTINUOUS TO SELF-SIMILAR MEASURE

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摘要本文研究了一类关于自相似测度绝对连续的概率测度的点密度测度的问题.利用迭代函数系,量子系数和H(o|¨)lder不等式,在自相似集满足强分离条件下,获得了此点密度测度,推广了自相似测度为Lebesgue测度的结果. In this paper, the author investigates a class of probability measures absolutely continuous to self-similar measure. Under the strong separation condition, the author determines the point density-measure of them by using iterated function system, quantization coefficient and HSlder inequality. This result extends the former result on Lebesgue measures.

作者王怡

机构地区中南财经政法大学统计与数学学院

出处《数学杂志》 CSCD 北大核心 2011年第6期1097-1102,共6页 Journal of Mathematics

基金国家自然科学基金资助(11071090)

关键词绝对连续点密度测度自相似测度 absolute continuity point-density measure self-similar measure

分类号 O174.12 [理学—基础数学]

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数学杂志

2011年第6期

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关于自相似测度绝对连续的测度的点密度测度

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