Integral-type operators from a mixed norm space to a bloch-type space on the unit ball

Abstract

Let B be the unit ball in ℂn and let H(B) be the space of all holomorphic functions on B. We introduce the following integral-type operator on H(B): where g ε H(B), g(0) = 0, and φ is a holomorphic self-map of B. Under study are the boundedness and compactness of the operator from the mixed norm space H(p, q, φ)(B) to the Bloch-type space ℬμ(B).