The Corona Theorem on the Complements of Certain Square Cantor Sets

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dc.creatorHandy, Jon
dc.date2007-12-06
dc.date.accessioned2026-07-07T08:47:52Z
dc.date.available2026-07-07T08:47:52Z
dc.descriptionLet $K$ 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 $Ω=\mathbb C^\ast\setminus K$.
dc.description16 pages, 3 figures. (submitted: Journal d'Analyse Mathematique)
dc.identifierhttps://arxiv.org/abs/0712.1039
dc.identifierhttp://arxiv.org/abs/0712.1039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143753
dc.subjectComplex Variables
dc.subject30H05, 46J15
dc.titleThe Corona Theorem on the Complements of Certain Square Cantor Sets
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