An interpolation theorem for Hilbert spaces with Nevanlinna-Pick kernel

DOI10.1090/S0002-9939-05-07722-1zbMath1065.30053MaRDI QIDQ4663461

Bjarte Böe

Publication date: 31 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

interpolating sequenceNevanlinna-Pick property

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items

Some Hilbert spaces related with the Dirichlet space ⋮ Onto interpolation for the Dirichlet space and for \(H_1 (\mathbb{D})\) ⋮ Interpolating sequences for pairs of spaces ⋮ Interpolating sequence for multipliers of \(D_{\log}\) space ⋮ One-box conditions for Carleson measures for the Dirichlet space ⋮ The Kadison-Singer problem

Cites Work

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• The \(\overline{\partial}\)-problem for multipliers of the Sobolev space
• Complete Nevanlinna-Pick kernels
• Carleson measures for analytic Besov spaces.
• Interpolating sequences for Besov spaces
• On the zeros of functions with finite Dirichlet integral and some related function spaces
• Interpolation and multipliers on besov and sobolev spaces