with W.F. Pfeffer, The divergence Theorem for unbounded vector fields, to appear in Trans. Amer. Math. Soc.



In the context of Lebesgue integration, we derive the divergence Theorem for unbounded vector fields that can have singularities at every point of a compact set whose Minkowski content in codimension larger than two is finite. The resulting integration by parts Theorem is applied to removable sets for holomorphic and harmonic functions.