Jarník-type theorem for self-similar sets

Yubin He, Lingmin Liao

Let $K\subset {\mathbb{R}}^d$ be a compact subset equipped with a $\hat{I}´$-Ahlfors regular measure $\hat{I}¼$. For any $\ddot{I}„>1/d$ and any ``inhomogeneous'' vector $\hat{\mathbf{I}}¸\in {\mathbb{R}}^d$, le…