Sharp constants for weighted Moser-Trudinger inequalities on groups of Heisenberg type

DOI10.1016/j.na.2013.04.017zbMath1282.22005OpenAlexW2070673035MaRDI QIDQ395387

Hanli Tang, Lam Hoang Nguyen

Publication date: 29 January 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.04.017

zbMATH Keywords

WeightsMoser-Trudinger inequalityGroups of Heisenberg typeSharp constants

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Analysis on real and complex Lie groups (22E30) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items

Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs ⋮ A weighted Trudinger-Moser inequality on \(\mathbb{R}^N\) and its application to Grushin operator ⋮ Improved Moser-Trudinger type inequalities in the hyperbolic space \(\mathbb{H}^n\) ⋮ Sharp Adams-Moser-Trudinger type inequalities in the hyperbolic space ⋮ Sharp singular Trudinger-Moser inequalities under different norms ⋮ New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups ⋮ Improved critical Hardy inequality and Leray-Trudinger type inequalities in Carnot groups ⋮ Sharp affine Trudinger–Moser inequalities: A new argument

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