The aim is to characterize the properties of the weighted composition differentiation operator on Bloch spaces.
Characterization of the operators was conducted on the Bloch space and little Bloch space.
Assessment of boundedness and compactness was performed mathematically.
Focus on operators defined on the unit disk.
The paper establishes clear criteria for boundedness of the operators.
Compactness of the operators in Bloch spaces is characterized.
Findings contribute to the understanding of function spaces and their operators.
Abstract
This paper characterizes the boundedness and compactness of the weighted composition differentiation operator on the Bloch space ℬ and the little Bloch space ℬ0 on the unit disk.