an:05031114
Zbl 1117.28004
Li, Hao; Chen, Erming
Estimation of the lower bound of Hausdorff measure of a special self-similar fractal set
ZH
J. Fuzhou Univ., Nat. Sci. 33, No. 5, 562-564 (2005).
00121487
2005
j
28A78 28A80
The authors study the lower bound of the Hausdorff measure of a special fractal introduced by Falconer using the structural property of the self-similar fractal and the principle of mass distribution. They concretely analyse the relationship between the size of diameters of various measurable sets and the mass distributed on them. At last they get an estimation of the lower bound of the Hausdorff measure, i.e. \(H^s(F)\geq 0.8077580\).
Zu-Guo Yu (Brisbane)