Composition and Volterra type operators on large Bergman spaces with rapidly decreasing weights
Functional Analysis
2025-07-23 v1 Complex Variables
Abstract
We characterize boundedness, compactness and Schatten class properties of generalized Volterra-type integral operators acting between large Bergman spaces and for . To prove our characterizations, which involve Berezin-type integral transforms, we use the Littlewood-Paley formula of Constantin and Pel\'aez and corresponding embedding theorems. Our results generalize the work on integration operators of Pau and Pel\'{a}ez in J. Funct. Anal. 259 (2010), 2727--2756.
Cite
@article{arxiv.2507.16437,
title = {Composition and Volterra type operators on large Bergman spaces with rapidly decreasing weights},
author = {M. Almoka and H. Arroussi and J. Virtanen},
journal= {arXiv preprint arXiv:2507.16437},
year = {2025}
}