满足强分离条件的自相似集的填充测度  

THE PACKING MEASURE OF THE SELF-SIMILAR SETS WITH STRONG SEPARATION CONDITION

作　　者：朱智伟[1] 周作领[2] 

机构地区：[1]肇庆学院数学系,广东肇庆526061 [2]中山大学岭南(大学)学院,广州510275

出　　处：《数学年刊（A辑）》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)

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.

关 键 词：自相似集 强分离条件 填充测度 

分 类 号：O174.12[理学—数学]