Andrea Marchese

activity

20102026

most citedThe Steiner tree problem revisited through rectifiable G-currents

29 citations · 109 across the 27 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.CA2021

Characterization of rectifiability via Lusin type approximation

Andrea Marchese, Andrea Merlo

We prove that a Radon measure $μ$ on $R^{n}$ can be written as $μ = \sum_{i = 0}^{n} μ_{i}$ , where each of the $μ_{i}$ is an $i$ -dimensional rectifiable measure if and only if for ever…

math.CA2016

Lipschitz functions with prescribed blowups at many points

Andrea Marchese, Andrea Schioppa

In this paper we prove generalizations of Lusin-type theorems for gradients due to Giovanni Alberti, where we replace the Lebesgue measure with any Radon measure $μ$ . We apply this…

math.CA2016

Lusin type theorems for Radon measures

Andrea Marchese

We add to the literature the following observation. If $μ$ is a singular measure on $R^{n}$ which assigns measure zero to every porous set and $f:\mathbb{R}^n\rightarrow\mat…

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…