Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces
Copyright policy )Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces
Summary: Using certain maximal analytic functions, we obtain new characterizations of the continuity and compactness of the weighted composition operators when acts between Korenblum spaces, \(\alpha\)-Bloch spaces and when acts from certain weighted Banach spaces of analytic functions with a logarithmic weight into \(\alpha\)-Bloch spaces. As consequence of our results, we obtain a new characterization of the continuity and compactness of composition operators acting between \(\alpha\)-Zygmund spaces.
- National University of Colombia Colombia
- Universidad Nacional Experimental de Guayana Venezuela
- Universidad de Oriente Venezuela
\(\alpha\)-Zygmund spaces, \(\alpha\)-Bloch spaces, Linear composition operators, weighted Banach spaces of analytic functions, Bloch spaces, weighted composition operators
\(\alpha\)-Zygmund spaces, \(\alpha\)-Bloch spaces, Linear composition operators, weighted Banach spaces of analytic functions, Bloch spaces, weighted composition operators
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