Essential normality for quotient modules and complex dimensions

DOI10.1016/j.jfa.2018.08.022zbMath1420.32004OpenAlexW2889714042MaRDI QIDQ2422460

Jingbo Xia, Yi Wang

Publication date: 19 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2018.08.022

zbMATH Keywords

Hilbert moduleessential normalitygeometric Arveson-Douglas conjecture

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36) Harmonic analysis of several complex variables (32A50)

Related Items

Essential normality for Beurling-type quotient modules over tube-type domains ⋮ Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties ⋮ 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 ⋮ The Helton-Howe trace formula for submodules ⋮ Geometric Arveson-Douglas conjecture for the Hardy space and a related compactness criterion ⋮ Toeplitz operators associated with measures and the Dixmier trace on the Hardy space ⋮ Trace invariants associated with quotient modules of the Hardy module

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