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• W2108121102 abstract "() defined in some bounded domain and assume that the Xi satisfy Hörmander's rank condition of some step r in , and . We extend to this nonsmooth context some results which are well known for smooth Hörmander's vector fields, namely: some basic properties of the distance induced by the vector fields, the doubling condition, Chow's connectivity theorem, and, under the stronger assumption , Poincaré's inequality. By known results, these facts also imply a Sobolev embedding. All these tools allow us to draw some consequences about second order differential operators modeled on these nonsmooth Hörmander's vector fields:" @default.
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• W2108121102 date "2011-06-04" @default.
• W2108121102 modified "2023-09-26" @default.
• W2108121102 title "Basic properties of nonsmooth Hörmander's vector fields and Poincaré's inequality" @default.
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• W2108121102 doi "https://doi.org/10.1515/form.2011.133" @default.
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