A HAUSDORFF–YOUNG INEQUALITY FOR LOCALLY COMPACT QUANTUM GROUPS

DOI10.1142/S0129167X10006677zbMath1213.43004MaRDI QIDQ3070057

Tom Cooney

Publication date: 2 February 2011

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

zbMATH Keywords

Fourier transformunimodular groupslocally compact quantum groupsHausdorff Young inequality

Mathematics Subject Classification ID

Noncommutative function spaces (46L52) Other transforms and operators of Fourier type (43A32) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (13)

An uncertainty principle for unimodular quantum groups ⋮ Quantum Fourier analysis ⋮ Smooth dense subalgebras and Fourier multipliers on compact quantum groups ⋮ \(L_p\)-\(L_q\) Fourier multipliers on locally compact quantum groups ⋮ Local and multilinear noncommutative de Leeuw theorems ⋮ Uncertainty principles for locally compact quantum groups ⋮ Extremal pairs of Young's inequality for Kac algebras ⋮ Lacunary Fourier series for compact quantum groups ⋮ Uncertainty principles for Kac algebras ⋮ Minimizers of the entropic uncertainty principle for locally compact quantum groups ⋮ The Hausdorff-Young inequality on Lie groups ⋮ On harmonic non-commutative $L^p$-operators on locally compact quantum groups ⋮ INNER AMENABILITY OF LOCALLY COMPACT QUANTUM GROUPS

Cites Work

• Unnamed Item
• Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
• On the spatial theory of von Neumann algebras
• Les espaces \(L^ p\) d'une algebre de von Neumann definies par la derivee spatiale
• Markov semigroups KMS-symmetric for a weight
• Constructions of Non-Commutative L^p-Spaces with a Complex Parameter Arising from Modular Actions
• Locally compact quantum groups in the von Neumann algebraic setting

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