Resumen de Volterra operators and semigroups in weighted Banach spaces of analytic functions

Manuela Basallote Galván, Manuel Domingo Contreras Márquez, Carmen Hernández Mancera, María J. Martín, Pedro J. Paúl

• We characterize the boundedness, compactness and weak compactness of Volterra operators ??(?)(?):=∫?0?(?)?′(?)?? acting between different weighted spaces of type ?∞? in terms of the symbol function ? , for the case when ? is a quasi-normal weight, a notion weaker than normality. Then we apply the characterization of compactness to analyze the behavior of semigroups of composition operators on ?∞? .