Abstract
In this paper, we give a complete characterization for the essential normality of quasi-homogenous quotient modules of the Hardy modules \(H^2 \left( {\mathbb{D}^2 } \right)\). Also, we show that if d ≥ 3, then all the principle homogenous quotient modules of \(H^2 \left( {\mathbb{D}^d } \right)\) are not essentially normal.
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Guo, K., Wang, P. Essentially normal Hilbert modules and K-homology IV: Quasi-homogenous quotient modules of Hardy module on the polydisks. Sci. China Math. 55, 1613–1626 (2012). https://doi.org/10.1007/s11425-012-4395-x
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DOI: https://doi.org/10.1007/s11425-012-4395-x