<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>On certain quotient modules of the Bergman module</dc:title>
<dc:creator>Jingbo Xia</dc:creator>
<dc:subject>47B32</dc:subject><dc:subject>47L20</dc:subject><dc:subject>quotient module</dc:subject><dc:subject>Schatten class</dc:subject>
<dc:description>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.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2008</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2008.57.3155</dc:identifier>
<dc:source>10.1512/iumj.2008.57.3155</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 57 (2008) 545 - 576</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>