Derivatives of Faber Polynomials and Markov Inequalities

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Derivatives of Faber Polynomials and Markov Inequalities

We study asymptotic behavior of the derivatives of Faber polynomials on a set with corners at the boundary. Our results have applications to the questions of sharpness of Markov inequalities for such sets. In particular, the found asymptotics are related to a general Markov-type inequality of Pommerenke and the associated conjecture of Erdős. We also prove a new bound for Faber polynomials on p...

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ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 2002

ISSN: 0021-9045

DOI: 10.1006/jath.2002.3713