Isoperimetric inequalities for Schatten norms of Riesz potentials

Grigori Rozenblum, Michael Ruzhansky, Durvudkhan Suragan

In this note we prove that the ball is a maximiser of some Schatten $p$-norms of the Riesz potential operators among all domains of a given measure in ${\mathbb{R}}^d$. In particula…