Norm of weighted composition operators from α-Bloch spaces to weighted-type spaces

Abstract

We calculate in an elegant way operator norm of the weighted composition operator from the α-Bloch space, with α ∈ (0, ∞) {minus 45 degree rule} {1}, to a weighted-type space on the unit ball. This result can be regarded as a complement to our recent result regarding the same problem for the case α = 1.