Coorbit space theory for quasi-Banach spaces

被引：32
|
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
收藏
页码：237 / 253
页数：17
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