Bounds of the Hausdorff measure of the Koch curve

摘要

By means of the idea of [Baoguo Jia, Bounds of Hausdorff measure of the Sierpinski gasket, Journal of Mathematical Analysis and Application, in press, doi:10.1016/j.jmaa.2006.08.026] and the self-similarity of Koch curve, we obtain the lower and upper bounds of the Hausdorff measure of the Koch Curve, which can approach the Hausdorff measure of the Koch Curve infinitely.