Some Results Of The Hausdorff Measure Of Self-similar Fractal

This paper studies the Hausdorff measures of several kinds of typical fractal satisfying OSC.Pristly , the Hausdorff measure of a kind of generalized Cantor Set is discussed. We obtain a sufficient and necessary condition of the generalized Cantor Set whose Hausdorff measure is 1 .Secondly, we analysis the Hausdorff measure of a special Sierpinski Carpet and get its advanced estimation of upper boundry through constructing special cover.Thirdly, two kinds of Sierpinski Blocks are studied. Via the Method of Partial Cover and the theory of Quality Distributing, we gain the accurate ragne of their Hausdorff measures respectively.