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

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

Ukrainian Mathematical Journal, cilt.70, sa.3, ss.362-384, 2018 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s11253-018-1505-0
  • Dergi Adı: Ukrainian Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.362-384
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.