Let φ be a holomorphic self-map of the open unit ball B, g ∈ H(B). In this paper, the boundedness and compactness of the Volterra composition operator T g from generally weighted Bloch spaces to Bloch-type spaces are investigated. c ©2012 NGA. All rights reserved.

This paper characterizes the boundedness and compactness of the generalized composition operator (C φf)(z) = ∫ z 0 f ′(φ(ξ))g(ξ)dξ from Bloch type spaces to QK type spaces.

In this paper, we characterize the bonudedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of $mathbb{C}^n$.