The essential normality of $N_{\underline {\eta }}$-type quotient module of Hardy module on the polydisc

DOI10.1090/S0002-9939-2013-11890-3zbMath1288.47005OpenAlexW1568712174MaRDI QIDQ2862179

Penghui Wang

Publication date: 14 November 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11890-3

zbMATH Keywords

Hardy spaceHilbert modulesBlaschke productsessential normalitypolydiskquotient modules

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (10)

Essential normality for Beurling-type quotient modules over tube-type domains ⋮ The core operator and the compressed multipliers on \(M_{\psi,\varphi}\)-type submodules ⋮ Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties ⋮ Essential normality of quasi-homogeneous quotient modules over the polydisc ⋮ \(N_{\psi, \varphi}\)-type quotient modules over the bidisk ⋮ Essential normality of homogenous quotient modules over the polydisc: distinguished variety case ⋮ Essentially normal homogeneous quotient modules on the polydisc ⋮ On quotient modules of H²(𝔻ⁿ): essential normality and boundary representations ⋮ \(N_{\psi}\)-type quotient modules in \(H^2(\mathbb{D}^n)\) ⋮ The non-tangential boundary behavior of the matrix-valued rational inner functions on bounded symmetric domain

Cites Work

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• Essentially normal Hilbert modules and \(K\)-homology
• Distinguished varieties
• Quotients of standard Hilbert modules
• Restrictions of H p Functions in the Polydisk
• Defect operators for submodules of H[2[d]]
• Stable polynomial division and essential normality of graded Hilbert modules

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