Abstract
Let G be an open subset in the extended complex plane and let A(G) denote the algebra of all functions analytic on G and continuous on \( \bar G \). We call a domain multi-nicely connected if there is a circular domain W and a conformal map ϕ from W onto G such that the boundary value function of ϕ is univalent almost everywhere with respect to the arclength on ∂W.
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