Spline bases and spline representations in function spaces

DOI10.1007/BF01223710zbMath0465.46022OpenAlexW2090199230MaRDI QIDQ1154634

Hans Triebel

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01223710

zbMATH Keywords

Haar systemspline basesBesov-Hardy-Sobolev spacelinear interpolation property

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Abstract interpolation of topological vector spaces (46M35)

Related Items (7)

Spline wavelet decomposition in weighted function spaces ⋮ Eigenvalues of integral operators. II ⋮ A remark on orthonormal bases of compactly supported wavelets in Triebel- Lizorkin spaces. The case \(0<p, q<\infty\) ⋮ Spline wavelet bases in function spaces with Muckenhoupt weights ⋮ Lifting in Sobolev spaces ⋮ Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross ⋮ On Schauder bases in Hardy spaces

Cites Work

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• On the spaces F^s _p.q of iiardy-soblow type: equivalent quasi-norys , multipliers, spaces on doilains , regular elliptic botjndary vaiue prblems
• Equivalence of Haar and Franklin bases in $L_{p}$ spaces
• On besov - hardy - sobolev spaces in domains and regular elliptic boundary value problems. the case
• Constructive function theory and spline systems
• Some Maximal Inequalities
• Construction of an orthonormal basis in $C^{m}(I^{d})$ and $W^{m}_{p}(I^{d})$

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