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math.CA2023
On the structure of flat chains with finite mass
Giovanni Alberti, Andrea Marchese
We prove that every flat chain with finite mass in with coefficients in a normed abelian group is the restriction of a normal -current to a Borel set. We dedu…
math.CA2014★ 1 cited
On the differentiability of Lipschitz functions with respect to measures in the Euclidean space
Giovanni Alberti, Andrea Marchese
Rademacher theorem states that every Lipschitz function on the Euclidean space is differentiable almost everywhere, where "almost everywhere" refers to the Lebesgue measure. In thi…