Coorbit Space Theory for Quasi-Banach Spaces
نویسنده
چکیده
We generalize the classical coorbit space theory developed by Feichtinger and Gröchenig 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 p,q m , 0 < p, q ≤ ∞. AMS subject classification: 42C15, 42C40, 46A16, 46E10, 46E30
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