Polynomial inequalities in regions with interior zero angles in the Bergman space

• Date: 2018
• Main Authors: Abdullayev, F. G., Balci, S., Imash, kyzy M., Абдуллаєв, Ф. Г., Балчи, С., Імаш, кизи М.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1559
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the order of growth of the moduli of arbitrary algebraic polynomials in the weighted Bergman space $A_p(G, h),\; p > 0$, in regions with interior zero angles at finitely many boundary points. We obtain estimations for algebraic polynomials in bounded regions with piecewise smoo...