Jackson's theorem on bounded symmetric domains

DOI10.1007/S10114-007-0953-5zbMath1148.41013OpenAlexW2010534474MaRDI QIDQ2385329

Mingzhi Wang, Guang Bin Ren

Publication date: 12 October 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0953-5

zbMATH Keywords

polynomial approximationBergman spacesbounded symmetric domainsJackson's theorem

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Bergman spaces of functions in several complex variables (32A36)

Related Items (3)

Polynomial approximation in Bergman spaces ⋮ Jackson's theorem in \(Q_{p}\) spaces ⋮ Gradient estimates and Jackson's theorem in \(Q_\mu \) spaces related to measures

Cites Work

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• Holomorphic Jackson's theorems in polydiscs
• On the rate of growth of the means \(M_ p\) of holomorphic and pluriharmonic functions on bounded symmetric domains of \({\mathbb{C}}^ n\)
• \(q\)-moduli of continuity in \(H^{p}(\mathbb D)\), \(p>0\) and an inequality of Hardy and Littlewood
• Jackson theorems in Hardy spaces and approximation by Riesz means
• Harmonic version of Jackson's theorem in the complex plane
• On the best polynomial approximation in some Banach spaces for functions analytical in the unit disk
• Function spaces and reproducing kernels on bounded symmetric domains
• Radial derivative on bounded symmetric domains
• Holomorphic Besov spaces on bounded symmetric domains, II
• Extensions of D. Jackson's Theorem on Best Complex Polynomial Mean Approximation
• Analytic Invariants of Bounded Symmetric Domains
• $H^p$ spaces on bounded symmetric domains
• Degree of Approximation by Polynomials in the Complex Domain. (AM-9)

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