A brief survey on operator theory in $H^2(\mathbb D^2)$

zbMath1429.32010arXiv1810.00133MaRDI QIDQ5234213

Rongwei Yang

Publication date: 25 September 2019

Full work available at URL: https://arxiv.org/abs/1810.00133

zbMATH Keywords

invariant subspacescommuting operatorsHardy space on the bidisk

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items (8)

Beurling quotient subspaces for covariant representations of product systems ⋮ Ranks of fringe operators on finite Rudin type invariant subspaces ⋮ A geometric approach to the compressed shift operator on the Hardy space over the bidisk ⋮ Hilbert-Schmidtness of Submodules in $H^2 (\mathbb{D}^2 )$ Containing $θ(z)−\varphi (w)$ ⋮ Beurling quotient modules on the polydisc ⋮ Beurling-type invariant subspaces of the Poletsky-Stessin-Hardy spaces in the bidisc ⋮ Conjugations on \(L^2(\mathbb{T}^N)\) and invariant subspaces ⋮ Properties of compressed shifts on Beurling type quotient module of Hardy space over the bidisk

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