On an integral operator between Bloch-type spaces on the unit ball

Abstract

We characterize the boundedness and compactness of the following integral-type operator I φ g ( f ) ( z ) = ∫ 0 1 R f ( φ ( t z ) ) g ( t z ) d t t , z ∈ B , where g is a holomorphic function on the unit ball B ⊂ C n such that g ( 0 ) = 0 , and φ is a holomorphic self-map of B , acting from α-Bloch spaces to Bloch-type spaces on B .