On a Sum of More Complex Product-Type Operators from Bloch-Type Spaces to the Weighted-Type Spaces

Abstract

The aim of the present paper is to completely characterize the boundedness and compactness of a sum operator defined by some more complex products of composition, multiplication, and mth iterated radial derivative operators from Bloch-type spaces to weighted-type spaces on the unit ball. In some applications, the boundedness and compactness of all products of composition, multiplication, and mth iterated radial derivative operators from Bloch-type spaces to weighted-type spaces on the unit ball are also characterized.

Keywords

• <i>m</i>th iterated radial derivative operator
• Bloch-type space
• weighted-type space
• boundedness
• compactness