3 feb 2016 -- 18:00 [open in google calendar]
Sala Seminari Dipartimento di Matematica di Pisa
We discuss the theory of the capacities associated to Sobolev- Lorentz spaces in the Euclidean setting. We present the basic properties of these capacities, including monotonicity, finite subadditivity and convergence results. We also investigate the regularity of these capacities and we prove that the p, 1-capacity is Choquet for p ≥ n.