标题： 组合与Volterra型算子在具有快速衰减权的大Bergman空间上 显示英文标题

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

摘要： 我们表征了广义Volterra型积分算子在大Bergman空间$A_\omega^p$和$A_\omega^q$之间作用时的有界性、紧性和Schatten类性质，对于$0 <p, q\leq \infty$。 为了证明我们的表征，这涉及Berezin型积分变换，我们使用了Constantin和Peláez的Littlewood-Paley公式和相应的嵌入定理。 我们的结果推广了Pau和Peláez在J. Funct. Anal. 259 (2010), 2727--2756中的积分算子工作。 显示英文摘要

摘要： We characterize boundedness, compactness and Schatten class properties of generalized Volterra-type integral operators acting between large Bergman spaces $A_\omega^p$ and $A_\omega^q$ for $0 <p, q\leq \infty$. 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.