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

DOI10.1007/s11253-018-1505-0zbMath1422.30006OpenAlexW2897970029MaRDI QIDQ2417284

Yanyan Li

Publication date: 12 June 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-018-1505-0

zbMATH Keywords

polynomials, weighted Bergman space

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10) Bergman spaces and Fock spaces (30H20)

Related Items (7)

Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane ⋮ Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks ⋮ Inequalities of the Markov-Nikol'skii type in regions with zero interior angles in the Bergman space ⋮ ON THE GROWTH OF m-TH DERIVATIVES OF ALGEBRAIC POLYNOMIALS IN REGIONS WITH CORNERS IN A WEIGHTED BERGMAN SPACE ⋮ Unnamed Item ⋮ Bernstein-Nikol'skii-type inequalities for algebraic polynomials from the Bergman space in domains of the complex plane ⋮ On the growth of derivatives of algebraic polynomials in a weighted Lebesgue space

Cites Work

• Weighted polynomial inequalities in the complex plane
• On the convergence of the Bieberbach polynomials in regions with corners
• Comparing norms of polynomials in one and several variables
• Über das Randverhalten der Ableitung der Abbildungsfunktion bei konformer Abbildung
• Polynomial inequalities in quasidisks on weighted Bergman spaces
• On the behavior of algebraic polynomial in unbounded regions with piecewise Dini-smooth boundary
• Uniform and pointwise polynomial inequalities in regions with asymptotically conformal curve on weighted Bergman space
• On the orthogonal polynomials with weight having singularities on the boundary of regions in the complex plane
• Uniform and pointwise Bernstein-Walsh-type inequalities on a quasidisk in the complex plane
• On the behavior of algebraic polynomials in regions with piecewise smooth boundary without cusps
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