一类齐次Moran集的Hausdorff测度

HAUSDORFF MEASURES FOR A CLASS OF HOMOGENEOUS MORAN SETS

本文研究了一类新的齐次Moran集.利用x^s(0<s<1)的凸性方法,获得了它的Hausdorff测度,推广了齐次cantor集的结果.

In this paper,we consider a new kind of homogeneous Moran sets.By using the convexity of x^s（0〈s〈1）,we get its Hausdorff measure,which generalizes the results of homogeneous Cantor sets.