A New Characterization of the Weighted Composition–differentiation Operators on Bloch Spaces

Key Points

• 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.