Title: On certain quotient modules of the Bergman module

Authors: Jingbo Xia

Issue: Volume 57 (2008), Issue 1, 545-576

Abstract: We construct a class of quotient modules $\mathcal{Q}$ of the Bergman module over the ball algebra $A(\bar{B}_n)$ for which the Schatten-class membership of the commutators $[\hat{Z}_i^{*}, \hat{Z}_i]$ of the module operators $\hat{Z}_1, \dots, \hat{Z}_n$ can be precisely prescribed.