Let $\varphi$ be an analytic self-mapping of $𝔻$ and $g$ an analytic function on $𝔻$. In this paper we characterize the bounded and compact Volterra composition operators from the Bergman-type space to the Bloch-type space. We also obtain an asymptotical expression of the essential norm of these operators in terms of the symbols $g$ and $\varphi$.

Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator $\psi C_{\varphi }$ acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces. Under some assumptions on the weights we give a characterization for such an operator to be bounded in terms of the weights involved as well as the functions ψ and ϕ