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

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

2011-03-25

arxiv.org/abs/1103.5018v1

Mathematics

Functional Analysis

Journal of Mathematical Sciences (New York) \`a para\^itre, \`a para\^itre (2011) \`a para\^itre

Scientific paper

We prove a Bernstein-type inequality involving the Bergman and the Hardy
norms, for rational functions in the unit disc \mathbb{D} having at most n
poles all outside of \frac{1}{r}\mathbb{D}, 0

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