4 papers
Stratification of the single blow-up set for Radon measures
Luigi De Masi
We show that the set of points where the blow-up, in the sense of Preiss, of a signed Radon measure on is unique and its invariant subspace has dimension is -…
Lipschitz solvability of prescribed Jacobian and divergence for singular measures
Luigi De Masi, Andrea Marchese
Let be a finite Radon measure on an open set , singular with respect to the Lebesgue measure. We prove Lusin-type solvability results for the prescribed…
Non-rigidity of the absolutely continuous part of -free measures
Luigi De Masi, Carlo Gasparetto
We generalize a result by Alberti, showing that, if a first-order linear differential operator belongs to a certain class, then any function is the absolutely c…
A refined Lusin type theorem for gradients
Luigi De Masi, Andrea Marchese
We prove a refined version of the celebrated Lusin type theorem for gradients by Alberti, stating that any Borel vector field coincides with the gradient of a function $g…