Polynomial Inequalities in Regions with Zero Interior Angles in the Bergman Space

Balci S., Imash-kyzy M., ABDULLAYEV F.

Ukrainian Mathematical Journal, vol.70, no.3, pp.362-384, 2018 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 70 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.1007/s11253-018-1505-0
  • Journal Name: Ukrainian Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.362-384
  • Uşak University Affiliated: No

Abstract

We study the order of growth of the moduli of arbitrary algebraic polynomials in the weighted Bergman space Ap(G, h), p > 0, in regions with zero interior angles at finitely many boundary points. We obtain estimates for algebraic polynomials in bounded regions with piecewise smooth boundary.