English

On critical points of Blaschke products

Complex Variables 2010-11-16 v2

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.

Keywords

Cite

@article{arxiv.1009.1755,
  title  = {On critical points of Blaschke products},
  author = {S. Favorov and L. Golinskii},
  journal= {arXiv preprint arXiv:1009.1755},
  year   = {2010}
}

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6 pages in LaTeX