Asymptotic sharpness of a Bernstein-type inequality for rational functions in H^{2}

Rachid Zarouf (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

A Bernstein-type inequality in the standard Hardy space H^{2} of the unit disc \mathbb{D}=\{z\in\mathbb{C}:\,\vert z\vert<1\}, for rational functions in \mathbb{D} having at most n poles all outside of \frac{1}{r}\mathbb{D}, 0

Mots clés: Bernstein type inequality; rational functions; hardy space

Domaines: Analyse fonctionnelle [math.FA]

Rachid Zarouf. Asymptotic sharpness of a Bernstein-type inequality for rational functions in H^{2}. 2009. ⟨hal-00460327v2⟩