Application of a Bernstein type inequality to rational interpolation in the Dirichlet space

2011/03/25 by Rachid Zarouf, Zarouf, Rachid
Mathematics · #Algebraic and Geometric Analysis #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA

paper · pdf · doi:10.48550/arxiv.1103.5018

Journal of Mathematical Sciences (New York) à paraître, à paraître (2011) à paraître

arxiv created 2011/03/25 · openalex publication_date 2011/03/25 · arxiv updated 2011/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a Bernstein-type inequality involving the Bergman and the Hardy norms, for rational functions in the unit disc \mathbbD having at most n poles all outside of (1)/(r)\mathbbD, 0

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