一类Sierpinski垫片的Hausdorff测度上限的估计(英文)  

On the Upper Bound Estimates of the Hausdorff Measures of a Class of Sierpinski Gaskets

作　　者：许绍元[1] 孙善辉[1] 刘娟[1] 

机构地区：[1]淮北煤炭师范学院数学系,安徽淮北235000

出　　处：《淮北煤炭师范学院学报（自然科学版）》2007年第2期1-4,共4页Journal of Huaibei Coal Industry Teachers College(Natural Science edition)

基　　金：Supported by the teaching research foundation of education ministry,Anhui Province,China(2003kj047zd);Huaibei Coal Industry Teachers College (8088).

摘　　要：文章建立了估计一类Sierpinski垫片的Hausdorff测度上界的一个公式.由于这一类Sierpinski垫片的Hausdorff维数可以从1到log23连续变化,因而获得主要结果与现有文献的结论有本质的不同.In this paper, a formula for calculating the upper bounds of the Hausdorff measures of a class of Sierpinski gaskets is obtained. Since the dimensions of Sierpinski gaskets of this kind can change from 1 to log23 continuously, the main result in this paper is essentially different from the previous results.

关 键 词：自相似集 HAUSDORFF维数与测度 一类Sierpinski垫片 

分 类 号：O174.12[理学—数学]