Boundedness and compactness of a new product-type operator from a general space to Bloch-type spaces

Abstract

Abstract We characterize the boundedness and compactness of a product-type operator, which, among others, includes all the products of the single composition, multiplication, and differentiation operators, from a general space to Bloch-type spaces. We also give some upper and lower bounds for the norm of the operator.

Keywords

• product-type operator
• Bloch-type space
• boundedness
• compactness