On the lifting and approximation theorem for nonsmooth vector fields

DOI10.1512/iumj.2010.59.4298zbMath1258.53028arXiv1002.1331OpenAlexW2154293268MaRDI QIDQ2879958

Luca Brandolini, Marco Bramanti, Marco Pedroni

Publication date: 10 April 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1331

zbMATH Keywords

sub-LaplacianHörmander vector fieldssubelliptic distanceRothschild-Stein lifting

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (8)

Simple proof of the theorem on the lifting of vector fields ⋮ Step-\(s\) involutive families of vector fields, their orbits and the Poincaré inequality ⋮ Local real analysis in locally homogeneous spaces ⋮ Privileged coordinates for Carnot-Carathéodory spaces of lower smoothness ⋮ Fundamental solutions and local solvability for nonsmooth Hörmander’s operators ⋮ Generalized Jacobi identities and ball-box theorem for horizontally regular vector fields ⋮ Local Solvability of Nonsmooth Hörmander’s Operators ⋮ On the regularity of vector fields underlying a degenerate-elliptic PDE

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