Cantor集的自乘积集的Hausdorff测度的下界

A LOWER BOUND FOR THE HAUSDORFF MEASURE OF THE CARTESIAN PRODUCT OF THE MIDDLE THIRD CANTOR SET WITH ITSELF

证明了三分Cantor集C的自乘积集C×C的Hausdorff测度满足 H^(log_3)~4(C×C)≥1.48329。

For the Hausdorff measure of the Cartesian product of the middle third Cantor set with itself, the estimate Hlog34(C x C) > 1.48329 is obtained, where s = dimH(C x C) = log34.