On certain quotient modules of the Bergman module
Jingbo Xia
47B3247L20quotient moduleSchatten class
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.
Indiana University Mathematics Journal
2008
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10.1512/iumj.2008.57.3155
10.1512/iumj.2008.57.3155
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Indiana Univ. Math. J. 57 (2008) 545 - 576
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