CAJ | 학술논문

得到了Hausdorff容度与Hausdorff测度相等的集的充分必要条件.对于满足开集条件的自相似集，验证了它的Hausdorff容度与Hausdorff测度相等并给出了它的Hausdorff测度的一个便于应用的公式.作为例子，给出了均匀康托集的Hausdorff测度的一种新的计算方法，对于Koch曲线的Hausdorff测度的上限也作了讨论.
득도료Hausdorff용도여Hausdorff측도상등적집적충분필요조건.대우만족개집조건적자상사집，험증료타적Hausdorff용도여Hausdorff측도상등병급출료타적Hausdorff측도적일개편우응용적공식.작위례자，급출료균균강탁집적Hausdorff측도적일충신적계산방법，대우Koch곡선적Hausdorff측도적상한야작료토론.
Some sufficient and necessary conditions for sets having the same Hausdorff content and Hausdorff measure are obtained. For the self-similar set satisfying the open set condition, it is proved that its Hausdorff content and Hausdorff measure are equal and a formula, which is convenient for use, of its Hausdorff measure is given. As applications, the Hausdorff measures of uniform Cantor sets are computed in a new way and the upper bound problem of the Hausdorff measure of the Koch curve is also discussed