Multiresolution approximations and wavelet bases of weighted \(L^p\) spaces

DOI10.1007/s00041-003-0024-yzbMath1067.42019OpenAlexW2162805190MaRDI QIDQ1879328

Hugo Aimar, A. L. Bernardis, Francisco Javier Martín-Reyes

Publication date: 22 September 2004

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

Full work available at URL: https://doi.org/10.1007/s00041-003-0024-y

zbMATH Keywords

waveletsprojection operators\(A_p\) weightsweighted Lebesgue spaces, unconditional basis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

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Spline wavelet decomposition in weighted function spaces ⋮ Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent ⋮ Approximation of non-decaying signals from shift-invariant subspaces ⋮ A remark on wavelet bases in weighted \(L_p\) spaces ⋮ Best approximation with wavelets in weighted Orlicz spaces ⋮ Multiresolution approximations and unconditional bases on weighted Lebesgue spaces on spaces of homogeneous type ⋮ The best \(m\)-term approximation with respect to polynomials with constant coefficients ⋮ Democracy functions and optimal embeddings for approximation spaces ⋮ Multiresolution expansion in ⋮ Spline wavelet bases in function spaces with Muckenhoupt weights

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