Essential normality of Bergman modules over intersections of complex ellipsoids
Mohammad Jabbari
TL;DR
This paper investigates the essential normality properties of Bergman modules over intersections of complex ellipsoids and their quotients by monomial ideals, contributing to the understanding of operator theory in complex analysis.
Contribution
It introduces new results on the essential normality of Bergman modules over complex ellipsoid intersections and their quotients, extending previous work in multivariable operator theory.
Findings
Established conditions for essential normality in these modules
Connected geometric properties of ellipsoids with operator-theoretic behavior
Provided new insights into quotient modules by monomial ideals
Abstract
This paper studies the essential normality of Bergman modules over the intersection of complex ellipsoids, as well as their quotients by monomial ideals.
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Taxonomy
TopicsHolomorphic and Operator Theory · Meromorphic and Entire Functions · Advanced Topics in Algebra