摘要
根据自相似集的结构,找到了上凸密度的一个等价描述,根据这一等价描述构造了一个密度函数,并对该密度函数的计算问题进行讨论.作为应用,得到了Sierpinski垫片与Sierpin-ski地毯的Hausdorff测度的一个上界.
In this paper, we give an equivalent description of the upper convex density by means of the structure of the self- similar set. The computation of this density is also discussed. As an application, we get an upper bound of Hausdorff measure of Sierpinski gasket and Sierpinski carpet.
出处
《湛江师范学院学报》
2005年第3期8-11,共4页
Journal of Zhanjiang Normal College
