On the Product of Weighted Composition Operators and Radial Derivative Operators from the Bloch-Type Space into the Bers-Type Space on the Fourth Loo-Keng Hua Domain

Abstract

Let HEIV be the fourth Loo-Keng Hua domain. We study the boundedness of the product of the weighted composition operator and the radial derivative operator from the Bloch-type space Bα(HEIV) into the Bers-type space Aβ(HEIV) and provide the necessary and sufficient conditions for their boundedness.

Keywords

• fourth Loo-Keng Hua domain
• weighted composition operator
• radial derivative operator
• Bloch-type space
• Bers-type space
• boundedness