On the Bernstein - Walsh-type lemmas in regions of the complex plane

• Date: 2011
• Main Authors: Abdullayev, F. G., Aral, N. D., Абдуллаєв, Ф. Г., Арал, Н. Д.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2717
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $G \subset C$ be a finite region bounded by a Jordan curve $L := \partial G,\quad \Omega := \text{ext} \; \overline{G}$ (respect to $\overline{C}$), $\Delta := \{z : |z| > 1\}; \quad w = \Phi(z)$ be the univalent conformal mapping of $\Omega$ ont $\Phi$ normalized by $\Phi(\infty) = \inf...