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Effective \(H^{\infty }\) interpolation constrained by weighted Hardy and Bergman norms

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Publication:714409
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DOI10.15352/AFA/1399900195zbMath1254.30036OpenAlexW2150911745MaRDI QIDQ714409

Rachid Zarouf

Publication date: 22 October 2012

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/AFA/AFA-tex_v2_n2_a7.pdf


zbMATH Keywords

weighted Bergman spacesweighted Hardy spacesNevanlinna-Pick interpolationCarleson interpolation


Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Moment problems and interpolation problems in the complex plane (30E05) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Bergman spaces and Fock spaces (30H20)


Related Items (3)

A Bernstein-type inequality for rational functions in weighted Bergman spaces ⋮ \(H^{\infty}\) interpolation and embedding theorems for rational functions ⋮ Asymptotic sharpness of a Bernstein-type inequality for rational functions in $H^{2}$







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