Artículo
Volterra operators and semigroups in weighted Banach spaces of analytic functions
Autor/es | Basallote Galván, Manuela
Contreras Márquez, Manuel Domingo Hernández Mancera, Carmen Martín, María J. Paúl Escolano, Pedro José |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II |
Fecha de publicación | 2014 |
Fecha de depósito | 2020-06-26 |
Publicado en |
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Resumen | We characterize the boundedness, compactness and weak compactness of Volterra
operators Vg( f )(z) := z
0 f (ζ )g
(ζ ) dζ acting between different weighted spaces of type
H∞
v in terms of the symbol function g, ... We characterize the boundedness, compactness and weak compactness of Volterra operators Vg( f )(z) := z 0 f (ζ )g (ζ ) dζ acting between different weighted spaces of type H∞ 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∞ v . |
Cita | Basallote Galván, M., Contreras Márquez, M.D., Hernández Mancera, C., Martín, M.J. y Paúl Escolano, P.J. (2014). Volterra operators and semigroups in weighted Banach spaces of analytic functions. Collectanea Mathematica, 65 (2), 233-249. |
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