On an integral-type operator from ω-Bloch spaces to μ-Zygmund spaces

Abstract

Let H (B) denote the space of all holomorphic functions on the unit ball B ⊂ Cn . We study the boundedness and compactness of the following integral-type operatorPg (f) (z) = ∫01 f (tz) g (tz) frac(dt, t), f ∈ H (B), z ∈ B,where g ∈ H (B) and g (0) = 0, from ω-Bloch spaces to μ-Zygmund spaces.