On an integral-type operator from logarithmic Bloch-type spaces to mixed-norm spaces on the unit ball

Abstract

Let H (B) denote the space of all holomorphic functions on the open unit ball B of Cn and g ∈ H (B). We characterize the boundedness and compactness of the following integral-type operator. Lg f (z) = ∫01 R f (tz) g (tz) frac(dt, t), z ∈ B,. where R f is the radial derivative of function f, from logarithmic Bloch-type spaces to mixed-norm spaces on the unit ball.