Let H(B) denote the space of all holomorphic functions on the unit ball B of ℂⁿ. Let φ be a holomorphic self-map of B and g ∈ H(B) such that g(0) = 0. We study the integral-type operator
$C_φ^g f(z) = ∫_0^1 ℜf(φ(tz))g(tz) dt/t$, f ∈ H(B).
The boundedness and compactness of $C_φ^g$ from Privalov spaces to Bloch-type spaces and little Bloch-type spaces are studied