Duality of Fourier type with respect to locally compact Abelian groups

DOI10.1007/s11856-006-0008-0zbMath1130.43001OpenAlexW2047277612MaRDI QIDQ877472

Aicke Hinrichs, Hun Hee Lee

Publication date: 23 April 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-006-0008-0

zbMATH Keywords

\(L^p\) normslocally compact Abelian groupdual groupHausdorff-Young inequalityBanach space of Fourier type

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Linear operators on Banach algebras (47B48) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items

The norm of sums of independent noncommutative random variables in \(L_{p}(\ell_1)\)

Cites Work

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• Complex interpolation and geometry of Banach spaces
• On the vector valued Hausdorff-Young inequality
• Sur la transformation de Fourier des fonctions à valeurs vectorielles
• On the Fourier-Coefficients of Vector-Valued Functions
• Vector-valued Hausdorff-Young inequality and applications
• On the vector-valued Fourier transform and compatibility of operators

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