Gagliardo-Nirenberg inequalities for differential forms in Heisenberg groups

DOI10.1007/s00208-015-1337-2zbMath1359.58002arXiv1506.05904OpenAlexW1640902750MaRDI QIDQ303632

Annalisa Baldi, Bruno Franchi, Pierre Pansu

Publication date: 22 August 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05904

zbMATH Keywords

differential formsHeisenberg groupsdiv-curl systemsGagliardo-Nirenberg inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Differential forms in global analysis (58A10) Analysis on other specific Lie groups (43A80) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Systems of linear first-order PDEs (35F35)

Related Items (10)

POINCARÉ AND SOBOLEV INEQUALITIES FOR DIFFERENTIAL FORMS IN HEISENBERG GROUPS AND CONTACT MANIFOLDS ⋮ Limiting Sobolev and Hardy inequalities on stratified homogeneous groups ⋮ \(L^1\)-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces ⋮ An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups ⋮ Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups ⋮ Sobolev-Poincaré inequalities for differential forms and currents ⋮ Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-Dimensional Quaternionic Heisenberg Group ⋮ \(L^1\)-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups ⋮ On the \(\ell ^{q,p}\) cohomology of Carnot groups ⋮ Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups

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