Harmonically weighted Dirichlet spaces associated with finitely atomic measures

DOI10.1007/BF01214250zbMath0906.46020MaRDI QIDQ1128242

Donald Sarason

Publication date: 18 February 1999

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Hardy spacePoisson integralharmonically weighted Dirichlet spaceinvariant subspace structure of the shift operatornormalized area measurewandering vector

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Spaces of bounded analytic functions of one complex variable (30H05) Linear operators on function spaces (general) (47B38) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (10)

Complete Nevanlinna-Pick property of Dirichlet-type spaces ⋮ Reproducing kernels for Dirichlet spaces associated to finitely supported measures ⋮ Closed-range composition operators on Dirichlet-type spaces ⋮ Interpolating sequences in harmonically weighted Dirichlet spaces ⋮ De Branges-Rovnyak spaces and local Dirichlet spaces of higher order ⋮ Local Dirichlet spaces as de Branges-Rovnyak spaces ⋮ Carleson measures on Dirichlet-type spaces ⋮ A minimum energy problem and Dirichlet spaces ⋮ Errata: Harmonically weighted Dirichlet spaces associated with finitely atomic measures ⋮ Carleson measures and reproducing kernel thesis in Dirichlet-type spaces

Cites Work

• A formula for the local Dirichlet integral
• Inverse problem for zeros of certain Koebe-related functions
• \(m\)-isometric transformations of Hilbert space. III
• A Representation Theorem for Cyclic Analytic Two-Isometries
• Invariant Subspaces of the Dirichlet Shift and Pseudocontinuations
• Local Dirichlet spaces as de Branges-Rovnyak spaces
• Unnamed Item

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