Fourier transform and compactness in \((L^{q},l^{p})^{\alpha}\) and \(M^{p,\alpha}\) spaces

zbMath1210.42015MaRDI QIDQ627366

Ibrahim Fofana, Moumine Sanogo

Publication date: 1 March 2011

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1298669959

zbMATH Keywords

Fourier transformcompactnessRadon measureWiener amalgams

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Spaces of measures, convergence of measures (28A33) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (2)

On Lebesgue integrability of Fourier transforms in amalgam spaces ⋮ On preduals and Köthe duals of some subspaces of Morrey spaces

Cites Work

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• Necessary condition for measures which are \((L^q ,L^p )\) multipliers
• A compactness criterion for translation invariant Banach spaces of functions
• Resonance classes of measures
• Transformation de Fourier sur les espaces \(\ell^p(L^{p'})\)
• Compactness in L 2 and the Fourier Transform
• On the Representation of Functions as Fourier Transforms of Unbounded Measures
• Harmonic Analysis on Amalgams of L^P and l^q
• A remark on the preceding note by Bochner

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