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.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 3, pp. 318–336, March, 2018.
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Balci, S., Imash-kyzy, M. & Abdullayev, F.G. Polynomial Inequalities in Regions with Zero Interior Angles in the Bergman Space. Ukr Math J 70, 362–384 (2018). https://doi.org/10.1007/s11253-018-1505-0
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DOI: https://doi.org/10.1007/s11253-018-1505-0