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

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

  • 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 ?∞? .

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