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

• Date: 2011
• Main Authors: Zherebko, T. M., Жеребко, Т. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2805
• Journal Title: 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...