On operator Pφg from the logarithmic Bloch-type space to the mixed-norm space on the unit ball

Abstract

The boundedness and compactness of the following recently introduced, by this author, integral-type operatorPφg f (z) = ∫01 f (φ (tz)) g (tz) frac(dt, t), z ∈ B,where φ is a holomorphic self-map of the unit ball B in Cn and g is a holomorphic function on B such that g (0) = 0, from logarithmic Bloch-type spaces to mixed-norm spaces on B, are studied in this paper.