A Frostman-Type Lemma for Sets with Large Intersections, and an Application to Diophantine Approximation
A Frostman-Type Lemma for Sets with Large Intersections, and an Application to Diophantine Approximation
We consider classes $\mathscr{G}^s ([0,1])$ of subsets of $[0,1]$, originally introduced by Falconer, that are closed under countable intersections, and such that every set in the class has Hausdorff dimension at least $s$. We provide a Frostman type lemma to determine if a limsup-set is in such a class. Suppose …