Generalised Hausdorff measure of sets of Dirichlet non-improvable matrices in higher dimensions

Ayreena Bakhtawar, David Simmons

Let $\psi :{\mathbb{R}}_{+}\to {\mathbb{R}}_{+}$ be a nonincreasing function. A pair $(A,\mathbf{b}),$ where $A$ is a real $m\times n$ matrix and $\mathbf{b}\in {\mathbb{R}}^m,$ is said to be $ψ…