Wiener amalgam spaces with respect to quasi-Banach spaces

• Autorzy: Holger Rauhut
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46A16: Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
• 46E27: Spaces of measures

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 109
• Numer: 2
• Strony: 345-362

Daty

wydano

2007

Twórcy

autor

Holger Rauhut

• NuHAG, Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, A-1090 Wien, Austria

Identyfikatory

DOI

10.4064/cm109-2-13