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 P φ g , which is a kind of the product of composition and integral operators on the unit ball B ⊂ C n , from the logarithmic Bloch space B log and the little logarithmic Bloch space B log, 0 to the Bloch-type space B μ or the little Bloch-type space B μ , 0 .