Weighted composition operators from the Bloch space to nth weighted-type spaces

Abstract

In this work, we characterize the boundedness of weighted composition operators from the Bloch space andthe little Bloch space to nth weighted-type spaces. Some estimates for the essential norm of these operators are alsogiven. As a corollary, we obtain some characterizations for the compactness of weighted composition operators from theBloch space and the little Bloch space to nth weighted-type spaces.