Essential normality of polynomial-generated submodules: Hardy space and beyond

DOI10.1016/j.jfa.2013.08.023zbMath1319.47001OpenAlexW1973883005MaRDI QIDQ2440948

Quanlei Fang, Jingbo Xia

Publication date: 21 March 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2013.08.023

zbMATH Keywords

polynomialSchatten classessential normalitysubmodule

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) General theory of (C^*)-algebras (46L05) Bergman spaces of functions in several complex variables (32A36)

Related Items (11)

Approximate representation of Bergman submodules ⋮ Geometric Arveson-Douglas conjecture ⋮ Spectral theory of multiplication operators on Hardy-Sobolev spaces ⋮ On the \(p\)-essential normality of principal submodules of the Bergman module on strongly pseudoconvex domains ⋮ Essential normality for quotient modules and complex dimensions ⋮ Geometric Arveson-Douglas conjecture for the Drury-Arveson space: the case of one-dimensional variety ⋮ An index theorem for quotients of Bergman spaces on egg domains ⋮ Essentially normal homogeneous quotient modules on the polydisc ⋮ Geometric Arveson-Douglas conjecture-decomposition of varieties ⋮ Stable division and essential normality: the non-homogeneous and quasi homogeneous cases ⋮ On the essential normality of principal submodules of the Drury-Arveson module

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