Essential normality of homogeneous quotient modules over the polydisc.

Chong Zhao, Shandong University

Description

Essential normality is one of the central topics in the geometric analysis of Hilbert modules. Much work is done on analytic function Hilbert module over the unit ball. We make study on the essential normality over the polydisc, and find that homogeneous quotient Hardy modules with distinguished variety are essentially normal. The results are also valid for quotient Bergman modules.

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Jul 18th, 3:30 PM Jul 18th, 3:50 PM

Essential normality of homogeneous quotient modules over the polydisc.

Cupples I Room 207

Essential normality is one of the central topics in the geometric analysis of Hilbert modules. Much work is done on analytic function Hilbert module over the unit ball. We make study on the essential normality over the polydisc, and find that homogeneous quotient Hardy modules with distinguished variety are essentially normal. The results are also valid for quotient Bergman modules.