We prove a version of Rothschild-Stein's theorem of lifting and approximation and some related results in the context of nonsmooth Hörmander's vector fields for which the highest order commutators are only Hölder continuous. The theory explicitly covers the case of one vector field having weight two while the others have weight one.
(2010). On the lifting and approximation theorem for nonsmooth vector fields [journal article - articolo]. In INDIANA UNIVERSITY MATHEMATICS JOURNAL. Retrieved from http://hdl.handle.net/10446/221535
On the lifting and approximation theorem for nonsmooth vector fields
Brandolini, Luca;Pedroni, Marco
2010-01-01
Abstract
We prove a version of Rothschild-Stein's theorem of lifting and approximation and some related results in the context of nonsmooth Hörmander's vector fields for which the highest order commutators are only Hölder continuous. The theory explicitly covers the case of one vector field having weight two while the others have weight one.File allegato/i alla scheda:
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