Abstract:

The composition followed by differentiation C-D is characterized between the Bloch-type space Bα and the Zygmund-type space Zμ on the unit disk. By the methods of functional analysis and several complex variables, some necessary and sufficient conditions are given for C-D to be a bounded operator or a compact operator from Bα to Zμ.

Key words:  Bloch-type space; Zygmund-type space; boundedness; compactness