关于广义齐次自相似集上Hausdorff测度的一个特征

ON THE CHARACTERIZATION OF THE HAUSDORFF MEASURE ON GENERALIZED HOMOGENEOUS SELF-SIMILAR SETS

设E是Hausdorff测度正有限的广义齐次自相似集,本文证明了s维Hausdorff测度是E上唯一的非扩张概率测度.

Let E be a generalized homogeneous self-similar set which is s-set, in this paper, the authous prove that the normalized s-dimensional Hausdorff measure on E is the unique non-expansive probability measure on ?.