Nuclear Volterra composition operators between Bloch and weighted type spaces

In this paper, we completely characterize nuclear Volterra composition operators $T_g^{\phi }:{\mathcal{H}}_{\nu }^{\mathrm{\infty }}⟶{\mathcal{H}}_{\mu }^{\mathrm{\infty }}$ and $S_g^{\phi }:{\mathcal{H}}_{\nu }^{\mathrm{\infty }}⟶{\mathcal{H}}_{\mu }^{\mathrm{\infty }}$ acting between weighted type spaces in terms of the symbols $g$ and $\phi$ of $T_g^{\phi }$ and $S_g^{\phi }$ and weights $\nu$ and $\mu$, when the weights $\nu$ and $\mu$ are normal weights in the sense of Shields and Williams. Moreover, nuclear Volterra composition operators acting between little weighted type spaces and Bloch spaces of order $\beta$ are also characterized.