On critical points of Blaschke products

S. Favorov; L. Golinskii

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arXiv · 1009.1755

On critical points of Blaschke products

S. Favorov·L. Golinskii

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Abstract

We obtain an upper bound for the derivative of a Blaschke product, whose zeros lie in a certain Stolz-type region. We show that the derivative belongs to the space of analytic functions in the unit disk, introduced recently in \cite{FG}. As an outcome, we obtain a Blaschke-type condition for critical points of such Blaschke products.

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S. Favorov, L. Golinskii. 2010-11-13. On critical points of Blaschke products. https://arxiv.org/abs/1009.1755

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