Volterra operators and semigroups in weighted Banach spaces of analytic functions

• Autores: Manuela Basallote Galván, Manuel Domingo Contreras Márquez, Carmen Hernández Mancera, María J. Martín, Pedro J. Paúl
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 65, Fasc. 2, 2014, págs. 233-249
• Idioma: inglés
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• Resumen

  • 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 ?∞? .