Geodesic
Wiener amalgam spaces with respect to quasi-Banach spaces
Holger Rauhut1
1 NuHAG, Faculty of Mathematics University of Vienna Nordbergstrasse 15, A-1090 Wien, Austria
Colloquium Mathematicum, Tome 109 (2007) no. 2, pp. 345-362

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm109-2-13
Keywords: generalize theory wiener amalgam spaces locally compact groups quasi banach spaces main result provide convolution relations spaces weaken technical assumption global component invariant under right translations which even classical banach space illustrate theory discuss detail example group

Holger Rauhut 1

1 NuHAG, Faculty of Mathematics University of Vienna Nordbergstrasse 15, A-1090 Wien, Austria 
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Holger Rauhut. Wiener amalgam spaces with respect to
 quasi-Banach spaces. Colloquium Mathematicum, Tome 109 (2007) no. 2, pp. 345-362. doi: 10.4064/cm109-2-13

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