Jackson theorems in Hardy spaces and approximation by Riesz means

DOI10.1016/0021-9045(87)90101-8zbMath0657.42024OpenAlexW2009782102MaRDI QIDQ1110762

Leonardo Colzani

Publication date: 1987

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90101-8

zbMATH Keywords

polydiscHardy spacesRiesz meansJackson's theorempoly-half-space

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (8)

Jackson's theorem on bounded symmetric domains ⋮ Approximation properties of combination of multivariate averages on Hardy spaces ⋮ Quantitative approximations by convolution polynomials in Bergman spaces ⋮ Jackson's theorem in \(Q_{p}\) spaces ⋮ On moduli of smoothness and \(K\)-functionals of fractional order in the Hardy spaces ⋮ Holomorphic Jackson's theorems in polydiscs ⋮ Gradient estimates and Jackson's theorem in \(Q_\mu \) spaces related to measures ⋮ Bochner-Riesz means and K-functional on compact manifolds

Cites Work

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• On some approximation properties of real Hardy spaces \((0<p\leq 1)\)
• Two remarks on \(H^1\) and BMO
• \(H^p\) spaces of several variables
• APPROXIMATION OF FUNCTIONS OF CLASSH^p, 0 <p≤ 1

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