Sum of some product-type operators from Hardy spaces to weighted-type spaces on the unit ball

Abstract

We investigate the boundedness and compactness of the operator (Formula presented.), where (Formula presented.) is the multiplication operator with symbol (Formula presented.), which are holomorphic functions on the open unit ball (Formula presented.) in (Formula presented.) the composition operator with symbol (Formula presented.) which is a holomorphic self-map of (Formula presented.), and (Formula presented.) the (Formula presented.) th iterated radial derivative operator, from the Hardy space (Formula presented.) to the weighted-type space (Formula presented.) on (Formula presented.).