Wiener amalgam spaces with respect to quasi-Banach spaces

Volume 109 / 2007

Holger Rauhut Colloquium Mathematicum 109 (2007), 345-362 MSC: 46A16, 46E27, 46E30. DOI: 10.4064/cm109-2-13

Abstract

We generalize the theory of Wiener amalgam spaces on locally compact groups to quasi-Banach spaces. As a main result we provide convolution relations for such spaces. Also we weaken the technical assumption that the global component is invariant under right translations, which is new even for the classical Banach space case. To illustrate our theory we discuss in detail an example on the $ax+b$ group.

Authors

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

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