Two-level-split decomposition of anisotropic Besov spaces

DOI10.1007/s00365-009-9058-yzbMath1195.46030OpenAlexW2073982953MaRDI QIDQ2267394

Wolfgang Dahmen, Shai Dekel, Pencho P. Petrushev

Publication date: 1 March 2010

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-009-9058-y

zbMATH Keywords

nonlinear approximationanisotropic Besov spacesmultilevel expansions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (13)

Finite atomic decomposition characterization of variable anisotropic Hardy spaces ⋮ Molecules associated to Hardy spaces with pointwise variable anisotropy ⋮ Variable anisotropic singular integral operators ⋮ Unnamed Item ⋮ On the analysis of anisotropic smoothness ⋮ Hardy spaces on \(\mathbb R^{n}\) with pointwise variable anisotropy ⋮ Multilevel preconditioning for partition of unity methods: some analytic concepts ⋮ Frames adapted to a phase-space cover ⋮ A characterization of spaces of homogeneous type induced by continuous ellipsoid covers of \(\mathbb{R}^n\) ⋮ On dual spaces of anisotropic Hardy spaces ⋮ Variable anisotropic Hardy spaces with variable exponents ⋮ Anisotropic meshless frames on \(\mathbb R^{n}\) ⋮ A new Carleson measure adapted to multi-level ellipsoid covers

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