We discuss a generalized Volterra-Type operator $V_g$ involving higher-order derivatives of $g$. Using tent space methods, we give an affirmative answer to the conjecture of Nikolaos Chalmoukis in 2019. This result completes the characterization of $V_g$ mapping between different Hardy spaces. Along the way, we characterize the pointwise multipliers between the tent spaces. As a result, we recover the known characterizations of multipliers between Hardy and Bergman spaces.