On the Hausdorff-Young theorem for amalgams

DOI10.1007/BF01323655zbMath0502.43002OpenAlexW2013581427MaRDI QIDQ1172777

John J. F. Fournier

Publication date: 1983

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178113

zbMATH Keywords

Fourier multipliersHausdorff-Young theoremamalgamslambda(q) set

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) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items

Spaces \(L_ P\) with mixed norm on locally compact groups ⋮ Young's inequalities and Hausdorff-Young inequalities on Herz spaces ⋮ Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞} ⋮ Calderón-Zygmund operators on amalgam spaces and in the discrete case ⋮ The boundedness of Fourier transform on the Herz type amalgams and Besov spaces ⋮ Existence of weak solutions to a convection-diffusion equation in amalgam spaces ⋮ On Lebesgue integrability of Fourier transforms in amalgam spaces ⋮ On an inequality of Kolmogorov and Stein

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