Construction of Banach frames and atomic decompositions of anisotropic Besov spaces

被引：0

作者：

Bytchenkoff, Dimitri ^{[1
,2
]}

机构：

[1] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

[2] Univ Lorraine, Lab Energet & Mecan Theor & Appl, 2 Ave Foret Haye, F-54505 Vandoeuvre Les Nancy, France

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2021年 / 200卷 / 04期

关键词：

Anisotropic Besov spaces; Anisotropic wavelets; Banach frames; Atomic decompositions;

D O I：

10.1007/s10231-020-01040-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct generalised shift-invariant systems of functions of several real variables for anisotropic Besov spaces that can be generated by the decomposition method using any given expansive matrix and establish the conditions on those systems under which they will constitute Banach frames or sets of atoms for the anisotropic homo- or inhomogeneous Besov spaces.

引用

页码：1341 / 1365

页数：25

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[1] Construction of Banach frames and atomic decompositions of anisotropic Besov spaces
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