Weighted composition operators from Banach spaces of analytic functions into Bloch-type spaces

摘要

In this work, we characterize boundedness and compactness of weighted composition operators from the class of Banach space of analytic functions that are continuously contained in the Bloch space and such that the disk automorphisms have bounded norm, into Bloch-type spaces. We apply our results to several spaces, including the Bloch space, the analytic Besov spaces, and the space of analytic functions of bounded mean oscillation. We also obtain boundedness and compactness criteria for such operators when the domain is the space S~p of the analytic functions on the unit disk whose derivative is in the Hardy space H~p for p> 1.