We characterize boundedness, compactness and Schatten class properties of generalized Volterra-type integral operators acting between large Bergman spaces A_ωᵖ and A_ωq for 0 <p, q. To prove our characterizations, which involve Berezin-type integral transforms, we use the Littlewood-Paley formula of Constantin and Peláez and corresponding embedding theorems. Our results generalize the work on integration operators of Pau and Peláez in J. Funct. Anal. 259 (2010), 2727--2756.
Almoka et al. (Tue,) studied this question.