A survey on the Arveson-Douglas conjecture

DOI10.1007/978-3-030-43380-2_13OpenAlexW3112144125MaRDI QIDQ2220159

Yi Wang, Kunyu Guo

Publication date: 21 January 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-43380-2_13

zbMATH Keywords

holomorphic extensionindex theoryessential normalityArveson-Douglas conjecturerow contractions

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) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Harmonic analysis of several complex variables (32A50) Bergman spaces and Fock spaces (30H20)

Related Items (7)

Essential normality of Bergman modules over intersections of complex ellipsoids ⋮ A trace inequality for commuting \(d\)-tuples of operators ⋮ On the \(p\)-essential normality of principal submodules of the Bergman module on strongly pseudoconvex domains ⋮ Perturbations of principal submodules in the Drury-Arveson space ⋮ 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

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