Reproducing kernels and extremal functions in Dirichlet-type spaces

DOI10.1023/A:1012453003423zbMath0984.46015MaRDI QIDQ5947517

Serguei Shimorin

Publication date: 16 October 2001

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

extremal functionsreproducing kernelsDirichlet type spacesAleman's theoremcontractive multipliersvector-valued spaces

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Kernel functions in one complex variable and applications (30C40)

Related Items (14)

Complete Nevanlinna-Pick property of Dirichlet-type spaces ⋮ Reproducing kernels for Dirichlet spaces associated to finitely supported measures ⋮ Factorizations induced by complete Nevanlinna-Pick factors ⋮ Closed-range composition operators on Dirichlet-type spaces ⋮ Extremal functions and invariant subspaces in Dirichlet spaces ⋮ Interpolating sequences in harmonically weighted Dirichlet spaces ⋮ An analog of the hyperbolic metric generated by a Hilbert space with the Schwarz-Pick kernel ⋮ Cyclicity in Dirichlet Spaces ⋮ Characterizations of a class of Dirichlet-type spaces and related operators ⋮ Carleson measures on Dirichlet-type spaces ⋮ Characterizations of the Dirichlet-type space ⋮ De Branges-Rovnyak spaces and Dirichlet spaces ⋮ Regularity for generators of invariant subspaces of the Dirichlet shift ⋮ Carleson measures and reproducing kernel thesis in Dirichlet-type spaces

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