On the polynomial approximation of a conformal mapping of a domain with nonzero corner

• Datum: 2011
• Hauptverfasser: Zherebko, T. M., Жеребко, Т. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2805
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 angle. 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...