The trace problem for Sobolev spaces over the Heisenberg group

DOI10.1007/S11854-008-0009-5zbMath1152.46023OpenAlexW2021598174MaRDI QIDQ926385

François Vigneron

Publication date: 27 May 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-008-0009-5

zbMATH Keywords

Sobolev spacesHeisenberg grouptrace problemsub-riemannian contact structure

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on real and complex Lie groups (22E30) Contact manifolds (general theory) (53D10) Sub-Riemannian geometry (53C17)

Related Items (3)

MULTIFRACTAL ANALYSIS OF FUNCTIONS ON HEISENBERG AND CARNOT GROUPS ⋮ EXTENSION AND RESTRICTION THEOREMS IN ANISOTROPIC BESOV SPACES ⋮ A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields

Cites Work

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• The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. I
• The trace problem for vector fields satisfying Hörmander's condition
• Optimal mass transportation in the Heisenberg group.
• Trace theorems for vector fields
• Uniform estimation of sub-Riemannian balls
• Precised Hardy inequalities.
• Un problème aux limites pour une classe d'opérateurs hypoelliptiques du second ordre. (A problem on the limits for a class of second order hypoelliptic operators)
• Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
• The characterization of functions arising as potentials
• TRACE AND TRACE LIFTING THEOREMS IN WEIGHTED SOBOLEV SPACES
• Besov spaces and Strichartz estimates on the Heisenberg group
• Paraproduct on the Heisenberg group and applications

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