A trace theorem for Martinet-type vector fields

DOI10.1142/S0219199719500664zbMath1477.53049arXiv1806.07953WikidataQ127494482 ScholiaQ127494482MaRDI QIDQ5145375

Daniele Morbidelli, Daniele Gerosa, Roberto Monti

Publication date: 20 January 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.07953

zbMATH Keywords

sub-Riemannian geometryCarnot-Carathéodory metrictrace theoremssubelliptic gradient

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Sub-Riemannian geometry (53C17)

Cites Work

• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Trace theorem on the Heisenberg group
• Balls and metrics defined by vector fields. I: Basic properties
• The trace problem for vector fields satisfying Hörmander's condition
• Trace theorems for vector fields
• John and uniform domains in generalized Siegel boundaries
• Trace Theorems for Anisotropic Weighted SOBOLEV Spaces in a Corner
• Regular domains in homogeneous groups
• Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
• TRACE AND TRACE LIFTING THEOREMS IN WEIGHTED SOBOLEV SPACES
• Surface measures in Carnot-Carathéodory spaces

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