On the lifting and approximation theorem for nonsmooth vector fields

Details On the lifting and approximation theorem for nonsmooth vector fields On the lifting and approximation theorem for nonsmooth vector fields

2010-02-05

arxiv.org/abs/1002.1331v2

Mathematics

Analysis of PDEs

46 pages, LaTeX. Minor changes in Section 3

Scientific paper

We prove a version of Rothschild-Stein's theorem of lifting and approximation
and some related results in the context of nonsmooth Hormander's vector fields
for which the highest order commutators are only Holder continuous. The theory
explicitly covers the case of one vector field having weight two while the
others have weight one.

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