【摘要】 利用Ｓｉｅｒｐｉｎｓｋｉ地毯的自相似结构，得到其Ｈａｕｓｄｏｒｆｆ测度的上界；通过在Ｓｉｅｒｐｉｎｓｋｉ地毯上定义一个质量分布，由质量分布原理得到下界，从而完全确定了Ｓｉｅｒｐｉｎｓｋｉ地毯的准确值．这一结果可用于计算某些经典的Ｓｉｅｒｐｉｎｓｋｉ地毯的Ｈａｕｓｄｏｒｆｆ测度．更多还原

【Abstract】 Take use of the self - sidrilarity constmction of Sierpinski carpet, the supper boundary of the Hausdorff meastire is Obtained. By defining mass distrihuhon on Sierpinski carpet, the inferior boundal is given according tothe principle of mass distribution. Therefore the exact value of the Hausdorff measure is detendned. The Hausdodimouure of sone classic Sierprnski carpet can be obtained by this result.更多还原