The Hausdorff-Young inequality on Lie groups

DOI10.1007/s00208-018-01799-9zbMath1427.22011arXiv1807.04670OpenAlexW3102088337WikidataQ115388918 ScholiaQ115388918MaRDI QIDQ2324846

Javier Parcet, Alessio Martini, Michael G. Cowling, Detlef Müller

Publication date: 12 September 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04670

zbMATH Keywords

Fourier transformHausdorff-Young inequalityBabenko-Beckner constant

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) 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)

Related Items

Uncertainties in quantum measurements: a quantum tomography ⋮ Equality in Hausdorff-Young for hypergroups ⋮ An inequality for the convolutions on unimodular locally compact groups and the optimal constant of Young's inequality ⋮ Inequality on the optimal constant of Young's convolution inequality for locally compact groups and their closed subgroups ⋮ An update on the \(L^p-L^q\) norms of spectral multipliers on unimodular Lie groups ⋮ On the nonlinear Brascamp-Lieb inequality ⋮ An algebraic Brascamp-Lieb inequality ⋮ The Sobolev embedding constant on Lie groups

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