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On critical points of Blaschke products

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.

preprint2010arXivOpen access
S. FavorovL. Golinskii
math.CV
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Open access2 authors1 topic
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S. FavorovL. Golinskii

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