Trace theorem on the Heisenberg group

DOI10.5802/AIF.2437zbMath1176.46037OpenAlexW2480557039MaRDI QIDQ1013018

Jean-Yves Chemin, Chao-Jiang Xu, Hajer Bahouri

Publication date: 29 April 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2009__59_2_491_0

zbMATH Keywords

Sobolev spacesHardy's inequalityHörmander conditioncharacteristic hypersurfacestrace and trace lifting

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (7)

Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group ⋮ Semi-classical analysis on H-type groups ⋮ A trace theorem for Martinet-type vector fields ⋮ Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity ⋮ A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields ⋮ Gaffney-Friedrichs inequality for differential forms on Heisenberg groups ⋮ Hardy and uncertainty inequalities on stratified Lie groups

Cites Work

• The trace problem for vector fields satisfying Hörmander's condition
• Weyl calculus and subelliptic operators
• Espaces fonctionnels associés au calcul de Weyl-Hörmander
• The trace problem and hardy operator for non-isotropic function spaces on the heisenberg group
• Inclusions de sobolev en calcul de weyl-hörmander et champs de vecteurs sous-elliptiques
• TRACE AND TRACE LIFTING THEOREMS IN WEIGHTED SOBOLEV SPACES
• Besov spaces and Strichartz estimates on the Heisenberg group
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