Averages and the \(\ell^{q,1}\) cohomology of Heisenberg groups

DOI10.5802/ambp.384zbMath1433.58003arXiv1904.06669OpenAlexW3001570669WikidataQ126312936 ScholiaQ126312936MaRDI QIDQ2292682

Francesca Tripaldi, Pierre Pansu

Publication date: 4 February 2020

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.06669

zbMATH Keywords

Heisenberg groupsRumin complexparabolicity\(\ell^p\) cohomology

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Analysis on other specific Lie groups (43A80) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (5)

POINCARÉ AND SOBOLEV INEQUALITIES FOR DIFFERENTIAL FORMS IN HEISENBERG GROUPS AND CONTACT MANIFOLDS ⋮ An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups ⋮ Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups ⋮ Linear and Nonlinear Harmonic Boundaries of Graphs; An Approach with ℓ p-Cohomology in Degree One ⋮ \(L^1\)-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups

Cites Work

• The connectivity at infinity of a manifold and \(L^{q, p}\)-Sobolev inequalities
• Subelliptic Bourgain-Brezis estimates on groups
• New estimates for elliptic equations and Hodge type systems
• Differential forms on contact manifolds
• On the \(\ell ^{q,p}\) cohomology of Carnot groups
• \(L^1\)-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces
• Compensated compactness in the contact complex of Heisenberg groups

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