Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces

DOI10.1515/coma-2017-0007OpenAlexW2963064324MaRDI QIDQ1683998

Shuaibing Luo, Jie Xiao, Caixing Gu

Publication date: 4 December 2017

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10757

zbMATH Keywords

multiplication operatorRiemann surfaceBlaschke productDirichlet spacereducing subspacelocal inverse

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items

Reducibility for a class of analytic multipliers on Sobolev disk algebra ⋮ Reducing subspaces of non-analytic Toeplitz operators on weighted Hardy and Dirichlet spaces of the bidisk ⋮ Unnamed Item ⋮ Reducing subspaces for the product of a forward and a backward operator-weighted shifts ⋮ The operator \(M_{z_1^n z_2^n}\) on subspaces of Bergman spaces over the biannulus

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