On the vector valued Hausdorff-Young inequality

DOI10.1007/BF02385664zbMath0902.43002OpenAlexW2018203159MaRDI QIDQ1127062

Mats Erik Andersson

Publication date: 7 December 1998

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02385664

zbMATH Keywords

Fourier transformclassical groupslocally compact abelian groupsHausdorff-Young inequalityvector valued functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) General properties and structure of LCA groups (22B05) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (1)

Duality of Fourier type with respect to locally compact Abelian groups

Cites Work

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• Gaussian kernels have only Gaussian maximizers
• Complex interpolation and geometry of Banach spaces
• The norm of the \(L^p\)-Fourier transform. III. Compact extensions
• A first course in group theory
• A Hausdorff-Young inequality for B-convex Banach spaces
• Inequalities in Fourier analysis
• On the Hausdorff-Young theorem for integral operators
• On a class of interpolation spaces
• Sur la transformation de Fourier des fonctions à valeurs vectorielles
• Fourier Type and Complex Interpolation
• On the Fourier-Coefficients of Vector-Valued Functions
• The Norm of the L^p-Fourier Transform, II
• A Remark on the Hausdorff-Young Inequality

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