Lusin approximation and horizontal curves in Carnot groups

DOI10.4171/RMI/924zbMath1406.53039arXiv1412.2531OpenAlexW2962848587MaRDI QIDQ515359

Gareth Speight

Publication date: 13 March 2017

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.2531

zbMATH Keywords

Heisenberg groupCarnot grouphorizontal curveEngel groupLusin approximationWhitney extension

Mathematics Subject Classification ID

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

Related Items (12)

Lusin approximation for horizontal curves in step 2 Carnot groups ⋮ A measure zero universal differentiability set in the Heisenberg group ⋮ Pliability, or the Whitney extension theorem for curves in Carnot groups ⋮ A C^k Lusin approximation theorem for real-valued functions on Carnot groups ⋮ Unextendable Intrinsic Lipschitz Curves: ⋮ Whitney's extension theorem and the finiteness principle for curves in the Heisenberg group ⋮ Note on the q-logarithmic Sobolev and p-Talagrand inequalities on Carnot groups ⋮ A \(C^{m,\omega}\) Whitney extension theorem for horizontal curves in the Heisenberg group ⋮ A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group ⋮ The Whitney extension theorem for \(C^1\), horizontal curves in the Heisenberg group ⋮ On the Whitney extension property for continuously differentiable horizontal curves in sub-Riemannian manifolds ⋮ A \(C^m\) Lusin approximation theorem for horizontal curves in the Heisenberg group

Cites Work

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