On the generalized Hausdorff dimension of Besicovitch sets

Xianghong Chen, Lixin Yan, Yue Zhong

Keich (1999) showed that the sharp gauge function for the generalized Hausdorff dimension of Besicovitch sets in ${\mathbb{R}}^2$ is between $r^2\log 1/r$ and $r^2(\log 1/r) (\log\log…