摘要
研究R^3中一类满足分离条件及维数小于1的非齐次自相似集的Hausdorff测度.利用上凸密度定理,给出了相似压缩比的一个限制条件,使得对应的自相似集的Hausdorff测度能被精确确定.
This paper studied computation of the Hausdorff measure for a class of inhomogeneous self-similar sets in R^3 satisfying the separate condition and Hausdorff dimension less than 1. By means of the upper convex density theorem, some conditions on the contractive ratios were given so that the Hausdorff measures can be exactly determined.
出处
《华东师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第1期37-43,共7页
Journal of East China Normal University(Natural Science)
基金
国家自然基金(10571058)
