Asymptotic sharpness of a Bernstein-type inequality for rational functions in H²

2010/03/01 by Rachid Zarouf, Zarouf, Rachid
Mathematics · #Holomorphic and Operator Theory #Analytic and geometric function theory #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1003.0297

Abstract

A Bernstein-type inequality in the standard Hardy space H² of the unit disc \mathbbD=\z∈ℂ: |z|<1\, for rational functions in \mathbbD having at most n poles all outside of (1)/(r)\mathbbD, 0

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