Geometric Arveson-Douglas conjecture and holomorphic extension

DOI10.1512/iumj.2017.66.6302zbMath1491.47006arXiv1511.00782OpenAlexW2963123079WikidataQ122948372 ScholiaQ122948372MaRDI QIDQ4599326

Yi Wang, Ronald G. Douglas

Publication date: 29 December 2017

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00782

zbMATH Keywords

Bergman spacesextension of holomorphic functionscomplex harmonic analysisgeometric 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) Harmonic analysis of several complex variables (32A50) Bergman spaces and Fock spaces (30H20)

Related Items (10)

On the \(p\)-essential normality of principal submodules of the Bergman module on strongly pseudoconvex domains ⋮ Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties ⋮ 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 ⋮ The Helton-Howe trace formula for submodules ⋮ Geometric Arveson-Douglas conjecture-decomposition of varieties ⋮ 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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