Multiscale characterizations of Besov spaces on bounded domains

DOI10.1006/jath.1997.3142zbMath0922.46029OpenAlexW2098311713MaRDI QIDQ1266127

K. Appert

Publication date: 14 July 1999

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

Full work available at URL: https://semanticscholar.org/paper/1a34091fab18463805a349723503bd59d118f35f

zbMATH Keywords

waveletsmultiresolution analysisBesov spaceswavelet decompositionsBesov regularitycharacterize Besov quasi-normsfunctions on Lipschitz domains

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) General harmonic expansions, frames (42C15)

Related Items

Optimal approximation of elliptic problems by linear and nonlinear mappings. III: Frames, Boundary value problems for the Laplacian in convex and semiconvex domains, Replicant compression coding in Besov spaces, Direct and inverse approximation theorems for local trigonometric bases

Cites Work

• Unnamed Item
• A remark on orthonormal bases of compactly supported wavelets in Triebel- Lizorkin spaces. The case \(0<p, q<\infty\)
• Minimax estimation via wavelet shrinkage
• Wavelet compression and nonlinear \(n\)-widths
• Wavelets and Besov spaces
• Wavelet coefficients measuring smoothness in \(H_ p(\mathbb{R}^ d)\)
• Interpolation of Besov Spaces
• Image compression through wavelet transform coding
• Compression of Wavelet Decompositions
• Biorthogonal bases of compactly supported wavelets
• Besov Spaces on Domains in ℝ d
• Multiscale decompositions on bounded domains