Abstract

ANTON MARVAL, Gabriel M; CASTILLO, René E  and  RAMOS-FERNANDEZ, Julio C. Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces. Cubo [online]. 2017, vol.19, n.1, pp.39-51. ISSN 0719-0646.  http://dx.doi.org/10.4067/S0719-06462017000100003.

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 betweenα-Zygmund spaces.

Keywords : Weighted Banach spaces of analytic functions; Bloch space; weighted composition operators.

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