MULTIPLIERS FOR THE GENERALIZED RIEMANN INTEGRAL

The Stokes theorem for noncontinuously differentiable forms has been e stablished by means of a coordinate free Riemann-type integral, which integrates the divergence of any differentiable vector field over boun ded sets of finite perimeter. We show that the pointwise products of i ntegrable and Lipschitz functions are integrable, and interpret the in tegrable functions as distributions. (C) 1994 Academic Press, Inc.