2019
Том 71
№ 6

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

Abstract

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 smooth boundary.

Citation Example: Abdullayev F. G., Balci S., Imash kyzy M. Polynomial inequalities in regions with interior zero angles in the Bergman space // Ukr. Mat. Zh. - 2018. - 70, № 3. - pp. 318-336.