collaborators

2 papers

math.MG2026

Systolic inequalities for metric surfaces via filling minimality

Toni Ikonen, Denis Marti, Noa Vikman

We prove optimal systolic inequalities for length spaces homeomorphic to a torus of genus one or a real projective plane. In both cases, the optimal constant coincides with the con…

math.FA2025

Metric Sobolev spaces II: dual energies and divergence measures

Luigi Ambrosio, Toni Ikonen, Danka Lučić +1

This is the second of two works concerning the Sobolev calculus on metric measure spaces and its applications. In this work, we focus on several approaches to vector calculus in th…