On an integral-type operator from logarithmic Bloch-type and mixed-norm spaces to Bloch-type spaces

Abstract

This paper studies the boundedness and compactness of the following integral-type operator, recently introduced by this author, Pφg f (z) = ∫01 f (φ (t z)) g (t z) frac(d t, 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 and mixed-norm spaces to Bloch-type spaces.