Generalized Volterra operators mapping between Banach spaces of analytic functions

We characterize boundedness and compactness of the classical Volterra operator Tg:Hvα∞→H∞" role="presentation">Tg:H∞vα→H∞ induced by a univalent function g for standard weights vα" role="presentation">vα with 0≤α<1" role="presentation">0≤α<1, partly answering an open problem posed by A. Anderson, M. Jovovic and W. Smith. We also study boundedness, compactness and weak compactness of the generalized Volterra operator Tgφ" role="presentation">Tφg mapping between Banach spaces of analytic functions on the unit disc satisfying certain general conditions.