Norm and essential norm of composition followed by differentiation from alpha-Bloch spaces to Hµinfinity
Abstract This note calculates the norm of composition followed by differentiation operator from the Bloch and the little Bloch space to the weighted space H μ ∞ on the unit disk, and gives an upper and a lower bound for the essential norm of the operator from the α -Bloch space B α , α > 0 to H μ ∞ .