H∞ interpolation constrained by Beurling–Sobolev norms

H∞ interpolation constrained by Beurling–Sobolev norms

We consider a Nevanlinna–Pick interpolation problem on finite sequences of the unit disc, constrained by Beurling–Sobolev norms. We find sharp asymptotics of the corresponding interpolation quantities, thereby improving the known estimates. On our way we obtain a S. M. Nikolskii type inequality for...

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Bibliographic Details
Main Authors: Baranov Anton, Zarouf Rachid
Format: Article
Language:English
Published: Sciendo 2023-05-01
Series:Moroccan Journal of Pure and Applied Analysis
Subjects:
h∞ interpolation
blaschke product
model space
rational function
hardy spaces
wiener algebra
beurling–sobolev spaces
primary 15a60, 32a36, 26a33
secondary 30d55, 26c15, 41a10
Online Access:https://doi.org/10.2478/mjpaa-2023-0012

Internet

https://doi.org/10.2478/mjpaa-2023-0012

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