摘要
对满足强分离条件的自相似集,本文给出一种估计填充测度下界的方法,称为部分估计原理。利用这种估计方法得出的某些自相似集的填充测度的下界。
The authors obtain an inequality to estimate the lower bound of packing measure for the self-similar sets with strong separation condition. The lower bound of the packing measure for the Cantor set and a class of Sierpinski gaskers are obtained by means of this inequality. For some self-similar sets which the dimensions are less than or equal to 1, this lower bound is equal to the exact packing measure.
出处
《数学年刊（A辑）》
CSCD
北大核心
2003年第3期261-268,共8页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10041005)
国家教育部基金(No.1999055810)
广东省自然科学基金(No.11221)
中山大学高等学术研究基金(No.01M2)
关键词
自相似集
强分离条件
填充测度
Self-similar sets, Strong separation condition, Packing measure
