Logarithmic Sobolev-type inequalities on Lie groups

DOI10.1007/s12220-024-01690-xzbMath1543.35006MaRDI QIDQ6572141

Marianna Chatzakou, Michael Ruzhansky, Aidyn Kassymov

Publication date: 15 July 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Lie groupslog-Sobolev inequalityNash inequalityhomogeneous groupsstratified groupsgraded groupsGross inequalitylog-Caffarelli-Kohn-Nirenberg inequalitylog-Gagliardo-Nirenberg inequality

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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Related Items (2)

Revised logarithmic Sobolev inequalities of fractional order ⋮ Fractional Hardy-type inequalities on homogeneous Lie groups in the case \(Q < s\,p\)

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