New characterizations for differences of weighted differentiation composition operators from a Bloch-type space to a weighted-type space

摘要

We found several new equivalent characterizations of the boundedness of the differences of weighted differentiation composition operators from Bloch-type spaces to weighted-type spaces. Especially, we estimated its essential norm in terms of the n-th power of the induced analytic self-maps on the unit disk, which can provide a new and simple compactness criterion. Moreover, we applied our results to a classical example.