What type of study is this?

This is a Quantitative Study study.

synapse

⌘+K

synapse

⌘+K

September 23, 2025Open Access

Composition and Volterra type operators on large Bergman spaces with rapidly decreasing weights

Key Points

Boundedness and compactness of Volterra-type operators in large Bergman spaces are characterized.
Results extend earlier work, connecting to integration operators studied in a 2010 publication.
Tools used include Berezin-type transforms and the Littlewood-Paley formula for analysis.
Results may influence mathematical theories concerning operator properties in functional analysis.

Abstract

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.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Almoka et al. (Tue,) studied this question.

synapsesocial.com/papers/68d4759031b076d99fa6d5a0 https://doi.org/https://doi.org/10.48550/arxiv.2507.16437

Bookmark

View Full Paper