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 ...

The study of divergence‐measure fields has significantly advanced the analytical framework underpinning classical Gauss–Green theorems by extending their applicability to irregular settings.

Description: Multivariate calculus; partial differentiation; implicit function theorems and transformations; line and surface integrals; vector fields; theorems of Gauss, Green, and Stokes. Credit ...