一个特殊自相似分形集的Hausdorff测度的上界估计

Estimating Upper Bound of Hansdorff Measure of a Special Self-Similar Fractal Set

利用自相似分形的性质 ,得到了一个特殊分形Haudorff测度的上界估计公式 .并应用此公式 ,通过构造特殊覆盖 ,得到它的Hausdorff测度的一个较好上界 .

By using the property of self similar fractal, the authors obtain and apply a formula to estinate the upper bound of Hausdorff measure of a special fractal. By constructing special cover, a better upper bound of its Hausdorff measure is obtained.