Hausdorff measure of sets of Dirichlet non-improvable numbers

Mumtaz Hussain, Dmitry Kleinbock, Nick Wadleigh +1

Let $\psi :{\mathbb{R}}_{+}\to {\mathbb{R}}_{+}$ be a non-increasing function. A real number $x$ is said to be $\psi$-Dirichlet improvable if it admits an improvement to Dirichlet's theorem in the f…