Examples of $d-$sets with irregular projection of Hausdorff measures

Yuri Lima, Carlos Gustavo Moreira

Given positive integers $\ell <n$ and a real $d\in (\ell ,n)$, we construct sets $K\subset {\mathbb{R}}^n$ with positive and finite Hausdorff $d-$measure such that the Radon-Nikodym der…