Let G be a bounded domain with a Jordan boundary that is smooth at all points except a single point at which it forms a nonzero corner. We prove Korevaar’s conjecture on the order of polynomial approximation of a conformal mapping of this domain into a disk. We also obtain a pointwise estimate for the error of approximation.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 9, pp. 1285–1289, September, 2011.
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Zherebko, T.M. On the polynomial approximation of a conformal mapping of a domain with nonzero corner. Ukr Math J 63, 1464–1469 (2012). https://doi.org/10.1007/s11253-012-0592-6
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DOI: https://doi.org/10.1007/s11253-012-0592-6