New essential norm estimates of weighted composition operators from H-infinity into the Bloch space

摘要

In this paper, we give new essential norm estimates of weighted composition operators uC(phi) from H-infinity into the Bloch space, where u is a function analytic on the unit disc D and phi is an analytic self-map of D. Moreover, a new characterization for the boundedness and compactness of the weighted composition operators uC(phi) is obtained by the nth power of the symbol phi and the Volterra operators I-u and J(u).