In this paper, first, we prove that the Sierpinski carpet E is equivalent to the set R. Then we define a mass distribution on R. Using a certain of mass distribution, we obtain the lower bound about the Hausdorff measure of R. Therefore the exact value of Hausdorff measure of E is given.
机构:
Xianning Coll, Dept Math, Xianning 437100, Peoples R China
E China Normal Univ, Dept Math, Shanghai 200062, Peoples R ChinaXianning Coll, Dept Math, Xianning 437100, Peoples R China