A. Colesanti

activity

20052025

most citedThe

L_{p}

-Minkowski problem for

- n < p < 1

66 citations · 383 across the 32 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.FA2021★ 18 cited

The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures

Andrea Colesanti, Monika Ludwig, Fabian Mussnig

A complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge-Ampère measur…

math.FA2021★ 7 cited

The Hadwiger theorem on convex functions, II: Cauchy-Kubota formulas

Andrea Colesanti, Monika Ludwig, Fabian Mussnig

A new version of the Hadwiger theorem on convex functions is established and an explicit representation of functional intrinsic volumes is found using new functional Cauchy-Kubota…

math.MG2021

On $p$ -Brunn-Minkowski inequalities for intrinsic volumes with $0 \leq p < 1$

C. Bianchini, A. Colesanti, D. Pagnini +1

We prove the validity of the $p$ -Brunn-Minkowski inequality for the intrinsic volume $V_{k}$ , $k = 2, \dots, n - 1$ , of convex bodies in $R^{n}$ , in a neighborhood of the unit ball…

The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures

The Hadwiger theorem on convex functions, II: Cauchy-Kubota formulas

On p-Brunn-Minkowski inequalities for intrinsic volumes with 0≤p<1

On $p$ -Brunn-Minkowski inequalities for intrinsic volumes with $0 \leq p < 1$