Hardy–Littlewood–Sobolev and Stein–Weiss inequalities on homogeneous Lie groups

DOI10.1080/10652469.2019.1597080zbMath1416.22012arXiv1810.11439OpenAlexW2962936627WikidataQ115295859 ScholiaQ115295859MaRDI QIDQ5378418

Aidyn Kassymov, Michael Ruzhansky, Durvudkhan Suragan

Publication date: 12 June 2019

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11439

zbMATH Keywords

fractional integralRiesz potentialHardy-Littlewood-Sobolev inequalityfractional operatorStein-Weiss inequalityhomogeneous Lie group

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items (9)

Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups ⋮ Stein-Weiss-Adams inequality on Morrey spaces ⋮ Fractional Hardy-Sobolev inequalities and existence results for fractional sub-Laplacians ⋮ SOME WEAK GEOMETRIC INEQUALITIES FOR THE RIESZ POTENTIAL ⋮ Lyapunov-type inequalities for the fractional \(p\)-sub-Laplacian ⋮ Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups ⋮ Characterizations for the fractional integral operator and its commutators in generalized weighted Morrey spaces on Carnot groups ⋮ A survey of Hardy type inequalities on homogeneous groups ⋮ Stein-Weiss inequality in 𝐿¹ norm for vector fields

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