Coorbit space theory for quasi-Banach spaces

被引：30

作者：

Rauhut, Holger ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, NuHAG, A-1090 Vienna, Austria

来源：

STUDIA MATHEMATICA | 2007年 / 180卷 / 03期

关键词：

coorbit spaces; quasi-Banach spaces; Wiener amalgam spaces; modulation spaces; atomic decompositions; Gabor frames; nonlinear approximation; Lorentz spaces; ATOMIC DECOMPOSITIONS; FRAMES;

D O I：

10.4064/sm180-3-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize the classical coorbit space theory developed by Feichtinger and Grochenig to quasi-Banach spaces. As a main result we provide atomic decompositions for coorbit spaces defined with respect to quasi-Banach spaces. These atomic decompositions are used to prove fast convergence rates of best n-term approximation schemes. We apply the abstract theory to time-frequency analysis of modulation spaces M-m(p,q), 0 < p, q <= infinity.

引用

页码：237 / 253

页数：17

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