Construction of Sobolev spaces of fractional order with sub-Riemannian vector fields

DOI10.5802/AIF.2285zbMath1143.46021OpenAlexW4297820751WikidataQ115159041 ScholiaQ115159041MaRDI QIDQ2372822

François Vigneron, Sami Mustapha

Publication date: 1 August 2007

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

Full work available at URL: http://www.numdam.org/item?id=AIF_2007__57_4_1023_0

zbMATH Keywords

Sobolev spaceWeyl-Hörmander calculussub-elliptic Laplaciansub-Riemannian distancefunctional space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Fractional derivatives and integrals (26A33) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Pseudodifferential operators (47G30)

Related Items (2)

MULTIFRACTAL ANALYSIS OF FUNCTIONS ON HEISENBERG AND CARNOT GROUPS ⋮ A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields

Cites Work

• Weyl calculus and subelliptic operators
• Uniform estimation of sub-Riemannian balls
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Espaces fonctionnels associés au calcul de Weyl-Hörmander
• Inclusions de sobolev en calcul de weyl-hörmander et champs de vecteurs sous-elliptiques
• Quantification asymptotique et microlocalisations d'ordre supérieur. I
• TRACE AND TRACE LIFTING THEOREMS IN WEIGHTED SOBOLEV SPACES
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