Free interpolation in \(H\infty\) and in some other function classes

DOI10.1007/BF01578540zbMath0398.41002OpenAlexW2014133432MaRDI QIDQ1254486

S. A. Vinogradov, V. P. Khavin

Publication date: 1978

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01578540

zbMATH Keywords

Free Interpolation in H-InfinityInterpolation of Functions Which Are Regular in a Circle

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation in approximation theory (41A05)

Related Items

Complétude des noyaux reproduisants dans les espaces modèles. (Completeness of reproducing kernels in the model spaces), Taylor coefficients and \(L^ p\)-moduli of continuity of Blaschke products, Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball, Nuclearity of the operators of embedding of certain classes of analytic functions in weighted spaces, A Nullset for Normal Functions in Several Variables, Interpolation in the half-plane by generalized canonical products, Free interpolation and the Dirichlet problem

Cites Work

• The Taylor coefficients of inner functions
• Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems
• The interpolating sets for \(A^ \infty\)
• Interpolations by bounded analytic functions and the corona problem
• An Interpolation Problem for Bounded Analytic Functions
• Interpolation in H ∞
• Properties of multipliers of Cauchy-Stieltjes integrals and some factorization problems for analytic functions
• Concerning Integrals of Moduli of Regular Functions along Convex Curves
• Generalized Interpolation in H ∞
• Subsequences of the partial sums of a trigonometric series which are everywhere convergent to zero
• Lp Estimates for (Pluri-) Subharmonic Functions.
• On the Interpolation of Bounded Sequences by Bounded Functions
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