2021-10-112021-10-112021Aguilar-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-.1660-54461660-5454https://hdl.handle.net/11441/126516In 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.application/pdf41 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Mixed norm spacesIntegration operatorLittlewood–Paley type inequalitiesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s00009-021-01774-w