Uniformization by square domains
classification
🧮 math.CV
keywords
domainsquarewhoseaxiscomplementarycomponentsconformalconnected
read the original abstract
We find an extremal problem for conformal maps on a finitely connected subregion of the Riemann sphere containing the point at infinity whose unique solution is a map onto a square domain, that is, a domain whose complementary components are (possibly degenerate) squares with sides parallel to the real or the imaginary axis.
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