The norm of the \(L^p\)-Fourier transform. III. Compact extensions

DOI10.1016/0022-1236(78)90068-XzbMath0449.43005MaRDI QIDQ1147325

Bernard Russo

Publication date: 1978

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

unimodular groupcompact factorHausdorff-Young-inequalityunimodular normal divisor

Mathematics Subject Classification ID

Character groups and dual objects (43A40)

Related Items

On the vector valued Hausdorff-Young inequality ⋮ An inequality for the convolutions on unimodular locally compact groups and the optimal constant of Young's inequality ⋮ Estimate of the Lp -Fourier transform norm for connected nilpotent Lie groups ⋮ The \(L^p\)-Fourier transform norm on compact extensions of locally compact groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The spaces \(L^ p\), with mixed norm
• Notes on non-commutative integration
• Inequalities in Fourier analysis
• Sharp inequalities for Weyl operators and Heisenberg groups
• On the Hausdorff-Young theorem for integral operators
• Representation theory of almost connected groups
• A non-commutative extension of abstract integration
• L p Fourier Transforms on Locally Compact Unimodular Groups
• The Norm of the L p -Fourier Transform on Unimodular Groups
• The Norm of the L^p-Fourier Transform, II
• Sharpness in Young’s inequality for convolution
• Abstract Interpolation and Operator-Valued Kernels
• On Central Topological Groups
• A note on the structure of Moore groups
• Intermediate spaces and interpolation, the complex method
• Groups with Finite Dimensional Irreducible Representations
• Unitary representations of solvable Lie groups
• The plancherel formula for group extensions II
• An extension of Plancherel's formula to separable unimodular groups