Wandering subspace property of the shift operator on a class of invariant subspaces of the weighted Bergman space \(L_a^2(dA_2)\)

DOI10.1007/s43037-019-00039-9OpenAlexW3010666425MaRDI QIDQ778752

Changhui Wu, Tao Yu

Publication date: 20 July 2020

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-019-00039-9

zbMATH Keywords

weighted Bergman spacesquotient moduleBeurling-type theoremwandering subspace property

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Dilations, extensions, compressions of linear operators (47A20) Bergman spaces of functions in several complex variables (32A36)

Related Items (4)

Finite zero-based invariant subspaces of the shift operator on reproducing kernel spaces ⋮ \(N_{\psi, \varphi}\)-type quotient modules over the bidisk ⋮ The wandering subspace property and Shimorin's condition of shift operator on the weighted Bergman spaces ⋮ \(M_\varphi\)-type submodules over the bidisk

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