Norm of some operators from logarithmic Bloch-type spaces to weighted-type spaces

Operator norm of weighted composition operators from the iterated logarithmic Bloch space Blogk,k∈N, or the logarithmic Bloch-type space Blogβ,β∈(0,1), to weighted-type spaces on the unit ball are calculated. It is also calculated norm of the product of differentiation and composition operators among these spaces on the unit disk.