On the minimal solution of the problem of primitives

[摘要] We characterize the primitives of the minimal extension of the Lebesgue integral which also integrates the derivatives of differentiable functions (called the C-integral). Then we prove that each BV function is a multiplier for the C-integral and that the product of a derivative and a BV function is a derivative module a Lebesgue integrable function having arbitrarily small L-1-norm. (C) 2000 Academic Press.

[发布日期] 2000-11-15