Exceptional sets for the derivatives of Blaschke products

Emmanuel Fricain (1)

1 UB - Université Sciences et Technologies - Bordeaux 1

We obtain growth estimates for the logarithmic derivative $B'(z)/B(z)$ of a Blaschke product as $|z| \to 1$ and $z$ avoids some exceptional sets.

Domaines: Variables complexes [math.CV]

Emmanuel Fricain. Exceptional sets for the derivatives of Blaschke products. Proceedings of the St. Petersburg Mathematical Society, 2008, American Mathematical Society Translations: Series 2, 222 (2), ⟨10.1090/trans2/222⟩. ⟨hal-00235365⟩