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.
@article{1142,
title = {Maximal functions and properties of the weighted composition operators acting on the Korenblum, $\alpha$-Bloch and $\alpha$-Zygmund spaces},
journal = {CUBO, A Mathematical Journal},
volume = {19},
year = {2017},
language = {en},
url = {http://dml.mathdoc.fr/item/1142}
}
Antón Marval, Gabriel M.; Castillo, René E.; Ramos-Fernández, Julio C. Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces. CUBO, A Mathematical Journal, Tome 19 (2017) 13 p. http://gdmltest.u-ga.fr/item/1142/