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

Authors: EBRAHIM ABBASI, SONGXIAO LI, HAMID VAEZI

Abstract: In this work, we characterize the boundedness of weighted composition operators from the Bloch space and the little Bloch space to $n$th weighted-type spaces. Some estimates for the essential norm of these operators are also given. As a corollary, we obtain some characterizations for the compactness of weighted composition operators from the Bloch space and the little Bloch space to $n$th weighted-type spaces.

Keywords: Weighted composition operator, Bloch space, essential norm, $n$th weighted-type space

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