Almost diagonal matrices and Besov-type spaces based on wavelet expansions

DOI10.1007/s00041-015-9423-0zbMath1342.65247arXiv1408.4581OpenAlexW1801870824MaRDI QIDQ276069

Markus Weimar

Publication date: 26 April 2016

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4581

zbMATH Keywords

waveletsmanifoldsdomain decompositionsequence spacesadaptive methodsBesov spacesquasi-Banach spacelocalizationnonlinear approximationalmost diagonal matrix

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Iterative procedures involving nonlinear operators (47J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Numerical methods for wavelets (65T60) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (5)

Rate-optimal sparse approximation of compact break-of-scale embeddings ⋮ On the lack of interior regularity of the p‐Poisson problem with p>2 ⋮ Besov regularity for operator equations on patchwise smooth manifolds ⋮ Adaptive Wavelet BEM for Boundary Integral Equations: Theory and Numerical Experiments ⋮ On the limit regularity in Sobolev and Besov scales related to approximation theory

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