Hardy-Littlewood-Paley-type inequalities on compact Lie groups

DOI10.1134/S0001434616070269zbMath1362.43002OpenAlexW2507365790WikidataQ115253839 ScholiaQ115253839MaRDI QIDQ509073

E. D. Nursultanov, Michael Ruzhansky, R. Kh. Akylzhanov

Publication date: 8 February 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434616070269

zbMATH Keywords

Fourier multipliersLie groupshomogeneous manifoldspseudo-differential operatorHardy-Littlewood inequalityHausdorff-Young-Paley inequality

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (8)

Besov continuity for pseudo-differential operators on compact homogeneous manifolds ⋮ Smooth dense subalgebras and Fourier multipliers on compact quantum groups ⋮ On the Sobolev embedding properties for compact matrix quantum groups of Kac type ⋮ \(L_p\)-\(L_q\) Fourier multipliers on locally compact quantum groups ⋮ Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and L-L Fourier multipliers on compact homogeneous manifolds ⋮ Counterexamples to the Hardy-Littlewood theorem for generalized monotone sequences ⋮ \(L^p-L^q\) multipliers on locally compact groups ⋮ Besov continuity for global operators on compact Lie groups: the critical case \(p = q = \infty .\)

Cites Work

• \(L^p\) Fourier multipliers on compact Lie groups
• Pseudo-Differential Operators and Symmetries

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