2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143753Let $K$ be a square Cantor set, i.e. the Cartesian product $K=E\times E$ of two linear Cantor sets. Let $δ_n$ denote the proportion of the intervals removed in the $n$th stage of the construction of $E$. It is shown that if $δ_n=o(\frac1{\log\log n})$ then the corona theorem holds on the domain $Ω=\mathbb C^\ast\setminus K$.16 pages, 3 figures. (submitted: Journal d'Analyse Mathematique)Complex Variables30H05, 46J15The Corona Theorem on the Complements of Certain Square Cantor Setstext