Best N Term Approximation Spaces for Tensor Product Wavelet Bases

被引：0

作者：

Pal-Andrej Nitsche

机构：

[1] Seminar for Applied Mathematics,

[2] ETH-Zentrum,undefined

[3] CH-8092 Zurich,undefined

来源：

Constructive Approximation | 2006年 / 24卷

关键词：

Best N term approximation; Tensor product approximation; Sparse grids; Besov spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider best N term approximation using anisotropic tensor product wavelet bases ("sparse grids"). We introduce a tensor product structure ⊗q on certain quasi-Banach spaces. We prove that the approximation spaces Aαq(L2) and Aαq(H1) equal tensor products of Besov spaces Bαq(Lq), e.g., Aαq(L2([0,1]d)) = Bαq(Lq([0,1])) ⊗q · ⊗q Bαq · ·(Lq([0,1])). Solutions to elliptic partial differential equations on polygonal/polyhedral domains belong to these new scales of Besov spaces.

引用

页码：49 / 70

页数：21

共 38 条

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