Multivariate Haar systems in Besov function spaces

DOI10.1070/SM9398zbMath1479.42095arXiv2002.12917MaRDI QIDQ3382766

Peter Oswald

Publication date: 22 September 2021

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.12917

zbMATH Keywords

Besov spacesHaar systemunconditional convergencepiecewise-constant approximationSchauder bases in quasi-Banach spaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (1)

\(B_{p\theta}^{\varphi}([0,1;H)\) with the Haar basis]

Cites Work

• Haar projection numbers and failure of unconditional convergence in Sobolev spaces
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• The Haar system as a Schauder basis in spaces of Hardy-Sobolev type
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• Spline bases in classical function spaces on compact $C^{∞}$ manifolds, Part I
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• Russian text ignoredLp, 0 <p < 1
• Basis Properties of the Haar System in Limiting Besov Spaces
• Constructive function theory and spline systems
• Construction of an orthonormal basis in $C^{m}(I^{d})$ and $W^{m}_{p}(I^{d})$
• Über die Existenz von Schauderbasen in Sobolev-Besov-Räumen. Isomorphiebeziehungen
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