An inequality for the convolutions on unimodular locally compact groups and the optimal constant of Young's inequality

DOI10.1007/s00041-023-09991-5OpenAlexW4318020576MaRDI QIDQ2682406

Takashi Satomi

Publication date: 31 January 2023

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.00742

zbMATH Keywords

convolutionconvexityrearrangement\(L^p\)-spacelocally compact groupHausdorff-Young inequalityYoung's inequalityreverse Young's inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measures on groups and semigroups, etc. (43A05) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convolution, factorization for one variable harmonic analysis (42A85) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Group algebras of locally compact groups (22D15)

Related Items (1)

Inequality on the optimal constant of Young's convolution inequality for locally compact groups and their closed subgroups

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