TY - JOUR
T1 - Lipschitz extensions into jet space carnot groups
AU - Wenger, Stefan
AU - Young, Robert
PY - 2010/11
Y1 - 2010/11
N2 - The aim of this article is to prove a Lipschitz extension theorem for partially defined Lipschitz maps to jet spaces endowed with aleft-invariant sub-Riemannian Carnot-Carathéodory distance. The jet spaces give a model for a certain class of Carnot groups, including in particular all Heisenberg groups. The proofs or our theorems are rather elementary, they are inspired by ideas in papers of Gromov, Young, and Lang-Schlichenmaier.
AB - The aim of this article is to prove a Lipschitz extension theorem for partially defined Lipschitz maps to jet spaces endowed with aleft-invariant sub-Riemannian Carnot-Carathéodory distance. The jet spaces give a model for a certain class of Carnot groups, including in particular all Heisenberg groups. The proofs or our theorems are rather elementary, they are inspired by ideas in papers of Gromov, Young, and Lang-Schlichenmaier.
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U2 - 10.4310/MRL.2010.v17.n6.a12
DO - 10.4310/MRL.2010.v17.n6.a12
M3 - Article
AN - SCOPUS:78149433141
SN - 1073-2780
VL - 17
SP - 1137
EP - 1149
JO - Mathematical Research Letters
JF - Mathematical Research Letters
IS - 6
ER -