Continuity of Riesz potential operator in the supercritical case on unbounded domain
Continuity of Riesz potential operator in the supercritical case on unbounded domain
The aim of this paper is to prove continuity of the Riesz potential operator $R^{s}:E\mapsto{\mathcal {C}}H$ in optimal couple E, ${\mathcal {C}}H$ , for the supercritical case on unbounded domain, where E is a rearrangement invariant function space and ${\mathcal {C}}H$ is the generalized Hölder-Zygmund space generated by a function …