中文摘要：

设I为平面上的单位正方形．{nk}k≥1为正整数序列，对任意的正整数k,nk≥2;{lk}k≥1也为正整数序列；在I上构造的Moran集类记为M（I，{nk},{lk}）,应用位势原理证明了对任意的集合E∈M（I，{nk}，{lk}），它的Hausdmff维数为dimHE=lim/k→∞ logl1l2…lk/logn1n2…nk.

英文摘要：

Suppose I is an unit square on the plane, {nk}k≥1 is a sequence of positive integers with nk≥2 for all positive integer k, and {lk }k≥1 is a sequence of positive integers. Some classes of homogenous Moran sets which are constructed on I will be denoted by M（I,{nk } ,{lk }）. This paper discu：sses the Moran sets EEM（I, {nt}, {lk}）, it gets their Hausdorff dimension dimHE=lim/k→∞ logl1l2…lk/logn1n2…nk.