Carathéodory measure and a generalization of the Gauss-Green lemma
John F. Randolph · Transactions of the American Mathematical Society · 1935
Schauder states his results in terms of an integral over a volume and an integral over the boundary of the volume, but, as he points out, analogous results hold connecting n-and (« -l)-dimensional integrals, n = 2, 3, • • • .We discuss his results for re=2.§ This subset of the boundary is defined in §16 below.dxdy = I f(x, y) cos ßds 1935]