Coorbit space theory for quasi-Banach spaces

Tom 180 / 2007

Holger Rauhut Studia Mathematica 180 (2007), 237-253 MSC: 42C15, 42C40, 46A16, 46E10, 46E30. DOI: 10.4064/sm180-3-4

Streszczenie

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 \leq \infty $.

Autorzy

  • Holger RauhutNuHAG, Faculty of Mathematics
    University of Vienna
    Nordbergstrasse 15
    A-1090 Wien, Austria
    e-mail

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