Two-Level-Split Decomposition of Anisotropic Besov Spaces

被引：19

作者：

Dahmen, Wolfgang ^{[2
]}

Dekel, Shai

Petrushev, Pencho ^{[1
]}

机构：

[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

[2] Rhein Westfal TH Aachen, Inst Geometrie & Prakt Math, D-52056 Aachen, Germany

来源：

CONSTRUCTIVE APPROXIMATION | 2010年 / 31卷 / 02期

关键词：

Anisotropic Besov spaces; Multilevel expansions; Nonlinear approximation; PIECEWISE POLYNOMIAL-APPROXIMATION; MOLECULAR DECOMPOSITIONS; NONLINEAR APPROXIMATION;

D O I：

10.1007/s00365-009-9058-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Anisotropic Besov spaces (B-spaces) are developed based on anisotropic multilevel ellipsoid covers (dilations) of a"e (n) . This extends earlier results on anisotropic Besov spaces. Furthermore, sequences of anisotropic bases are constructed and utilized for two-level-split decompositions of the B-spaces and nonlinear m-term approximation.

引用

页码：149 / 194

页数：46

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