Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces
Author
Antón Marval, Gabriel M.
Castillo, René E.
Ramos-Fernández, Julio C.
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/114210.4067/S0719-06462017000100003
Abstract
Using certain maximal analytic functions, we obtain new characterizations of the continuity and compactness of the weighted composition operators when acts between Korenblum spaces, α-Bloch spaces and when acts from certain weighted Banach spaces of analytic functions with a logarithmic weight into α-Bloch spaces. As consequence of our results, we obtain a new characterization of the continuity and compactness of composition operators acting between α-Zygmund spaces.