Daniele Pagnini

activity

20192021

collaborators

3 papers

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…

math.MG2020

Continuous valuations on the space of Lipschitz functions on the sphere

Andrea Colesanti, Daniele Pagnini, Pedro Tradacete +1

We study real-valued valuations on the space of Lipschitz functions over the Euclidean unit sphere $S^{n - 1}$ . After introducing an appropriate notion of convergence, we show that c…

math.FA2019

Dot product invariant valuations on Lip $(S^{n - 1})$

Andrea Colesanti, Daniele Pagnini, Pedro Tradacete +1

We provide an integral representation for continuous, rotation invariant and dot product invariant valuations defined on the space Lip $(S^{n - 1})$ of Lipschitz continuous functions…

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

Continuous valuations on the space of Lipschitz functions on the sphere

Dot product invariant valuations on Lip(Sn−1)

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

Dot product invariant valuations on Lip $(S^{n - 1})$