Univalent symbols of Volterra operators on growth spaces

Abstract

Let w and v be arbitrary radial weights on the unit disk \({\mathbb {D}}\). We characterize those univalent symbols \(g\in Hol({\mathbb {D}})\) for which the Volterra operator \(T_g\) maps boundedly the growth space \({\mathcal {A}}^w({\mathbb {D}})\) into \({\mathcal {A}}^v({\mathbb {D}})\).