Michele Caselli

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math.AP2026

A new Duhamel-type principle with applications to geometric (in)equalities

Michele Caselli, Luca Gennaioli

We introduce a simple new method, based on the Caffarelli-Silvestre extension and a Duhamel-type formula, to derive exact pointwise identities for fractional commutators and nonlin…

math.AP2025

Fractional Sobolev spaces on Riemannian manifolds

Michele Caselli, Enric Florit-Simon, Joaquim Serra

This article studies the canonical Hilbert energy $H^{s /2} (M)$ on a Riemannian manifold for $s \in (0, 2)$ , with particular focus on the case of closed manifolds. Several equivalent d…