Building Blocks in Function Spaces

被引：0

作者：

Triebel, H. ^{[1
]}

机构：

[1] Friedrich Schiller Univ Jena, Inst Math, D-07737 Jena, Germany

来源：

ANALYSIS MATHEMATICA | 2023年 / 49卷 / 04期

关键词：

function space; atom; wavelet; quark;

D O I：

10.1007/s10476-023-0236-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The spaces Ap,qs(Double-struck capital Rn)with A & ISIN; {B, F}, s & ISIN; Double-struck capital R and 0 <p,q & LE; & INFIN; are usually introduced in terms of Fourier-analytical decompositions. Related characterizations based on atoms and wavelets are known nowadays in a rather final way. Quarks atomize the atoms into constructive building blocks. It is the main aim of this survey to raise quarkonial decompositions to the same level as related representations of the spaces Ap,qs(Double-struck capital Rn) in terms of atoms or wavelets culminating finally in universal frame representations of tempered distributions f & ISIN; S & PRIME;(Double-struck capital Rn).

引用

页码：1107 / 1136

页数：30

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