The Norm of the L p -Fourier Transform on Unimodular Groups

DOI10.2307/1996836zbMath0291.43003OpenAlexW4246110222MaRDI QIDQ4042088

Bernard Russo

Publication date: 1974

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1996836

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Character groups and dual objects (43A40)

Related Items (18)

Estimate of the \(L^{p}\)-Fourier transform norm on nilpotent Lie groups ⋮ Non-commutative Rényi entropic uncertainty principles ⋮ Estimate of the \(L^p\)-Fourier transform norm on strong \(\ast\)-regular exponential solvable Lie groups ⋮ Compact Hankel operators on harmonic Bergman spaces ⋮ Large values of the Gowers-Host-Kra seminorms ⋮ Fourier multipliers, symbols, and nuclearity on compact manifolds ⋮ Equality in Hausdorff-Young for hypergroups ⋮ An inequality for the convolutions on unimodular locally compact groups and the optimal constant of Young's inequality ⋮ The norm of the \(L^p\)-Fourier transform. III. Compact extensions ⋮ Extremal pairs of Young's inequality for Kac algebras ⋮ On limits of $L_p$-norms of linear operators ⋮ \(L^p-L^q\) multipliers on locally compact groups ⋮ Block maps and Fourier analysis ⋮ Sharp Fourier type and cotype with respect to compact semisimple Lie groups ⋮ Sharp inequalities for Weyl operators and Heisenberg groups ⋮ The \(L^p\)-Fourier transform norm on compact extensions of locally compact groups ⋮ The Hausdorff-Young inequality on Lie groups ⋮ Charge deficiency, charge transport and comparison of dimensions

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