In this talk, we investigate the limit case \( p=1 \) of the Stein-Weiss inequality for the Riesz potential. Our main result is a characterization of this inequality for a special class of complex vector fields associated to cocanceling operators. As an application, we recover some classical div-curl inequalities and obtain new solvability results for equations associated to canceling and elliptic differential operators on measures. This talk is based on joint work with Jorge Hounie (UFSCar, Brazil), Pablo De Nápoli (Universidad de Buenos Aires, Argentina), Victor Biliatto (USP, Brazil), and Joel Coacalle (USP, Brazil).