Characterizations of Lyapunov domains in terms of Riesz transforms and the Plemelj-Privalov theorem

Juan José Marín, José María Martell, Dorina Mitrea +1

We prove several characterizations of ${\mathcal{C}}^{1,\ddot{I}‰}$-domains (aka Lyapunov domains), where $\ddot{I}‰$ is a growth function satisfying natural assumptions. For example, given an Ahl…