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

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⊂CnB⊂Cn, from the logarithmic Bloch space BlogBlog and the little logarithmic Bloch space Blog,0Blog,0 to the Bloch-type space BμBμ or the little Bloch-type space Bμ,0Bμ,0.