一个特殊分形集的Hausdorff测度估计

Estimation of Hausdorff Measure of a special fractal set

利用满足开集条件的自相似分形的性质,得到一个特殊分形Hausdorff测度的上界估计公式。由此公式,对它的Hausdorff测度的上界进行了估计,并用两种方法估计了它的Hausdorff测度的下界。

By using the property of self-similar fractal, we obtain and apply a formula, by which we can estimate the upper bound of Hausdorff measure of a special fractal. We also use two ways to estimate its lower bound of Hausdorff measure.