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
• DOI: 10.1007/s13348-013-0092-5
• Texto completo no disponible (Saber más ...)
• Resumen

  • We characterize the boundedness, compactness and weak compactness of Volterra operators V_{g}(f)(z) := \int _{0}^{z}f({\zeta })g^{\prime }({\zeta })\,d{\zeta } acting between different weighted spaces of type H^{\infty }_{v} in terms of the symbol function g, for the case when v 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 H^{\infty }_{v}.

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