ON THE GROWTH OF m-TH DERIVATIVES OF ALGEBRAIC POLYNOMIALS IN REGIONS WITH CORNERS IN A WEIGHTED BERGMAN SPACE

DOI10.30546/2409-4994.2023.49.1.109zbMath1520.30012OpenAlexW4381437101MaRDI QIDQ6171128

N. P. Özkartepe, Fahreddin G. Abdullayev

Publication date: 17 July 2023

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.2023.49.1.109

zbMATH Keywords

inequalitiespolynomialsweighted Bergman space

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10) Bergman spaces and Fock spaces (30H20)

Cites Work

• Strong asymptotics for Bergman polynomials over domains with corners and applications
• Weighted polynomial inequalities in the complex plane
• On Bernstein-Walsh-type lemmas in regions of the complex plane
• Comparing norms of polynomials in one and several variables
• Polynomial inequalities in quasidisks on weighted Bergman spaces
• An analogue of the Bernstein-Walsh lemma in Jordan regions of the complex plane
• On the behavior of algebraic polynomial in unbounded regions with piecewise Dini-smooth boundary
• On the orthogonal polynomials with weight having singularities on the boundary of regions in the complex plane
• Polynomial inequalities in regions with zero interior angles in the Bergman space
• Uniform and pointwise Bernstein-Walsh-type inequalities on a quasidisk in the complex plane
• On certain mean values of polynomials
• ON THE GROWTH OF ALGEBRAIC POLYNOMIALS IN THE WHOLE COMPLEX PLANE
• Polynomial inequalities in Lavrentiev regions with interior and exterior zero angles in the weighted Lebesgue space
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