On the curved wedge condition and the continuity moduli of conformal mappings (Q1335999)

Let \(L\) be a Jordan curve. Using results of \textit{V. I. Belyj} [Ukr. Math. J. 41, No. 4, 409-414 (1989); translation from Ukr. Mat. Zh. 41, No. 4, 469-475 (1989; Zbl 0692.30005)], the authors obtain estimates of the continuity moduli for the conformal mappings of the interior (resp. exterior) of \(L\) onto the interior (resp. exterior) of the unit disk, under the assumption that the curve \(L\) satisfies an interior or exterior wedge condition for wedges of various geometric forms.