On some approximation properties of real Hardy spaces \((0

DOI10.1016/0021-9045(84)90134-5zbMath0577.41021OpenAlexW1988924525MaRDI QIDQ1066028

Peter Oswald

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90134-5

zbMATH Keywords

atomic decompositionsmoleculesBochner-Riesz meansreal Hardy spacesFourier integral of distributions

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Spline approximation (41A15) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (9)

Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball ⋮ Jackson theorems in Hardy spaces and approximation by Riesz means ⋮ On the best linear approximation methods and the widths of certain classes of analytic functions ⋮ Quantitative approximations by convolution polynomials in Bergman spaces ⋮ \(q\)-moduli of continuity in \(H^{p}(\mathbb D)\), \(p>0\) and an inequality of Hardy and Littlewood ⋮ On moduli of smoothness and \(K\)-functionals of fractional order in the Hardy spaces ⋮ On a theorem of Hardy and Littlewood ⋮ Some inequalities related to strong convergence of Riesz logarithmic means ⋮ \(K\)-functionals and extreme problems of the approximation theory for classes of analytic functions in a circle. I

Cites Work

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• On spline bases in periodic Hardy spaces (0 <p  1)
• Convolution with Oscillating Kernels on H ^P Spaces
• Russian text ignoredLp, 0 <p < 1
• Extensions of Hardy spaces and their use in analysis
• DIRECT AND CONVERSE THEOREMS OF JACKSON TYPE IN $ L^p$ SPACES, $ 0<p<1$
• On Schauder bases in Hardy spaces
• A real variable characterization of $H^{p}$
• Constructive function theory and spline systems
• Construction of an orthonormal basis in $C^{m}(I^{d})$ and $W^{m}_{p}(I^{d})$
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