Daniele Pagnini

activity

20192024

most citedDot product invariant valuations on Lip

(S^{n - 1})

1 citations · 1 across the 3 of their papers we have counts for

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math.MG2024

The homogeneous decomposition of dually translation invariant valuations on Lipschitz functions on the sphere

Andrea Colesanti, Jonas Knoerr, Daniele Pagnini

We show that every continuous and dually translation invariant valuation on the space of Lipschitz functions on the unit sphere of $R^{n}$ , $n \geq 2$ , can be decomposed unique…

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…

The homogeneous decomposition of dually translation invariant valuations on Lipschitz functions on the sphere

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

Continuous valuations on the space of Lipschitz functions on the sphere

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