Best approximation with wavelets in weighted Orlicz spaces

被引：0

作者：

Maria De Natividade

机构：

[1] Universidad Autónoma de Madrid,Departamento de Matemáticas

来源：

Monatshefte für Mathematik | 2011年 / 164卷

关键词：

Greedy algorithm; Non-linear approximation; Weighted Orlicz spaces; Wavelets; Approximation spaces; Weighted Besov spaces; 41A17; 42C40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Democracy functions of wavelet admissible bases are computed for weighted Orlicz Spaces LΦ(w) in terms of the fundamental function of LΦ(w). In particular, we prove that these bases are greedy in LΦ(w) if and only if LΦ(w) = Lp(w), 1 < p < ∞. Also, sharp embeddings for the approximation spaces are given in terms of weighted discrete Lorentz spaces. For Lp(w) the approximation spaces are identified with weighted Besov spaces.

引用

页码：87 / 114

页数：27

共 37 条

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