Wandering subspaces and quasi-wandering subspaces in the Hardy-Sobolev spaces

DOI10.1007/s10114-017-7041-2OpenAlexW2766593554MaRDI QIDQ1686999

Guang Fu Cao, Jie Sheng Xiao

Publication date: 18 December 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-017-7041-2

zbMATH Keywords

invariant subspaceHardy-Sobolev spacewandering subspaceBeurling type theoremquasi-wandering subspace

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Cites Work

• Hardy-Sobolev spaces and their multipliers
• Fredholmness of multipliers on Hardy-Sobolev spaces
• Wandering subspaces and the Beurling type theorem. I
• Quasi-wandering subspaces in the Bergman space
• Beurling type theorem on the Bergman space via the Hardy space of the bidisk
• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
• Beurling's theorem for the Bergman space
• Bergman-type reproducing kernels, contractive divisors, and dilations
• Wandering subspace theorems
• Multipliers in Hardy-Sobolev spaces
• On two problems concerning linear transformations in Hilbert space
• Wold-type decompositions and wandering subspaces for operators close to isometries
• Quasi-wandering subspaces in a class of reproducing analytic Hilbert spaces
• An invariant subspace of the Bergman space having the codimension two property.
• Holomorphic mean Lipschitz spaces and Hardy–Sobolev spaces on the unit ball
• Interpolating sequences and invariant subspaces of given index in the Bergman spaces.

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