一个自相似分形集的Hausdorff测度估计

Estimating Hausdorff Measure of a Special Self-similar Fractal Set

利用满足开集条件的自相似分形的性质,得到了一个特殊分形Hausdorff测度的上界估计公式.由此公式以及网测度分别对它的Hausdorff测度的上界进行了估计,并估计了它的Hausdorff测度的下界.

Using the property of self-similar fractal, we obtain a formula for the estimation of the upper bound of Hausdorff measure of a special fractal, moreover we use this formula and the net measure to estimate the upper bound of Hausdorff measure of the special fractal as well as its lower bound.