【摘要】 Ｓｉｅｇｆｒｉｅｄ　ＣＲＡＦ　在文献［１］中给出了自相似集上的Ｈａｕｓｄｏｒｆｆ测度（简称Ｈ－测度）的特征．Ｊｏｈｎ ＭｃＬａｕｇｈｌｉｎ在文献［２］中引入了拟相似集的概念，Ｋ．Ｊ．Ｆａｌｃｏｎｅｒ又在文献［３］中讨论了拟相似集上Ｈ－测度和维数的性质．本文研究拟相似集上的Ｈ－测度的特征，并得出在一定条件下支撑于其上满足一定条件的测度与Ｈ－测度的等价性条件．更多还原

【Abstract】 In [1], the characterization of the Hausdorff measure on a self-similar set was given by siegfried GRFA. The concept of quasi-self-similar was introduced by John McLaughin in [2] and then some properties of the Hausdorff measure and dimension on quasi-self-similar sets were disscussed from[3], K. J. Falconer. In this paper, we studied the characterization of the Hausdonff measure on a quasi-self-similar set and deduced that the Hausdorff measure is equavilent to some kind of measure which satisfied some conditions.更多还原