On critical points of Blaschke products
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Publication:2430288
zbMATH Open1224.30197arXiv1009.1755MaRDI QIDQ2430288
S. Yu. Favorov, Leonid Golinskii
Publication date: 6 April 2011
Published in: Matematychni Studiï (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1009.1755
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Blaschke products (30J10)
Related Items (3)
On a boundary property of Blaschke products ⋮ Critical points of random finite Blaschke products with independent and identically distributed zeros ⋮ Unicritical Blaschke products and domains of ellipticity
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