Metric Diophantine approximation and 'absolutely friendly' measures

Andrew Pollington, Sanju Velani

Let $W(\p)$ denote the set of $\p$-well approximable points in ${\mathbb{R}}^d$ and let $K$ be a compact subset of ${\mathbb{R}}^d$ which supports a measure $\mu$. In this short note, we show that if $μ…