POINCARÉ AND SOBOLEV INEQUALITIES FOR DIFFERENTIAL FORMS IN HEISENBERG GROUPS AND CONTACT MANIFOLDS
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Publication:5070562
DOI10.1017/S1474748020000298zbMath1497.58001OpenAlexW3040313018MaRDI QIDQ5070562
Bruno Franchi, Annalisa Baldi, Pierre Pansu
Publication date: 13 April 2022
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1474748020000298
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) Contact manifolds (general theory) (53D10) Analysis on other specific Lie groups (43A80) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items (3)
Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups ⋮ \(L^1\)-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups ⋮ Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry
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