Norm and essential norm of an integral-type operator from the logarithmic Bloch space to the Bloch-type space on the unit ball

Abstract

We calculate norm and essential norm of an integral-type operator from the logarithmic Bloch space and the little logarithmic Bloch space to Bloch-type spaces on the unit ball of Cn. We show that there is a one-parameter class of equivalent norms on the logarithmic Bloch space for which the norms can be calculated.