On a new operator from the logarithmic Bloch space to the Bloch-type space on the unit ball

Abstract

We study the boundedness and compactness of a recently introduced operator denoted by Pφg, which is a kind of the product of composition and integral operators on the unit ball B ⊂ Cn, from the logarithmic Bloch space Blog and the little logarithmic Bloch space Blog, 0 to the Bloch-type space Bμ or the little Bloch-type space Bμ, 0.