Artículo
Integration Operators in Average Radial Integrability Spaces of Analytic Functions
Autor/es | Aguilar-Hernández, Tanausú
Contreras Márquez, Manuel Domingo Rodríguez Piazza, Luis |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2021 |
Fecha de depósito | 2021-10-11 |
Publicado en |
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Resumen | In this paper we characterize the boundedness, compactness,
and weak compactness of the integration operators
Tg(f)(z) = ˆ z
0
f(w)g
(w) dw
acting on the average radial integrability spaces RM(p, q). For these
purposes, ... In this paper we characterize the boundedness, compactness, and weak compactness of the integration operators Tg(f)(z) = ˆ z 0 f(w)g (w) dw acting on the average radial integrability spaces RM(p, q). For these purposes, we develop different tools such as a description of the bidual of RM(p, 0) and estimates of the norm of these spaces using the derivative of the functions, a family of results that we call Littlewood–Paley type inequalities. |
Identificador del proyecto | PGC2018-094215-13-100
FQM133 FQM-104 |
Cita | Aguilar-Hernández, T., Contreras Márquez, M.D. y Rodríguez Piazza, L. (2021). Integration Operators in Average Radial Integrability Spaces of Analytic Functions. Mediterranean Journal of Mathematics, 18, 117-. |
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