Interpolating Sequences in Spaces with the Complete Pick Property

DOI10.1093/imrn/rnx237zbMath1443.46016arXiv1701.04885OpenAlexW2581579702MaRDI QIDQ5243287

Michael Hartz, Alexandru Aleman, John E. McCarthy, Stephan Richter

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04885

zbMATH Keywords

multipliersinterpolating sequencesreproducing Hilbert spacecomplete Pick property

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hardy spaces (30H10) Algebras of analytic functions of one complex variable (30H50) Besov spaces and (Q_p)-spaces (30H25)

Related Items (18)

Onto interpolation for the Dirichlet space and for \(H_1 (\mathbb{D})\) ⋮ Weakly separated Bessel systems of model spaces ⋮ Which de Branges-Rovnyak spaces have complete Nevanlinna-Pick property? ⋮ Commutant lifting and Nevanlinna-Pick interpolation in several variables ⋮ Complete Nevanlinna-Pick kernels and the characteristic function ⋮ Geometric dilations and operator annuli ⋮ Interpolating sequences for pairs of spaces ⋮ Interpolating sequences for the Banach algebras generated by a class of test functions ⋮ A note on simply interpolating sequences for the Dirichlet space ⋮ Interpolation and duality in algebras of multipliers on the ball ⋮ A simple proof of necessity in the McCullough-Quiggin theorem ⋮ Effective noncommutative Nevanlinna-Pick interpolation in the row ball, and applications ⋮ Random interpolating sequences in the polydisc and the unit ball ⋮ Gelfand transforms and boundary representations of complete Nevanlinna–Pick quotients ⋮ Committee spaces and the random column-row property ⋮ An $H^p$ scale for complete Pick spaces ⋮ Weak products of complete Pick spaces ⋮ Subinner-free outer factorizations on an annulus

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