3 papers
math.CV2025
On Hardy spaces, univalent functions and the second coefficient
Martin Chuaqui, Iason Efraimidis, Rodrigo Hernández
We consider normalized univalent functions with prescribed second Taylor coefficient . For convex functions we study the Hardy spaces to which and belong, refinin…
math.CV2025
The Ahlfors-Weill reflection on convex domains and Nehari quasidisks
Martin Chuaqui
The estimate $$\RR\{a_2f\}>-\frac12$$ derived for convex mappings in \cite{FMR}, is interpreted here in terms of the Ahlfors-Weill reflection to show that for such domains $\Om$, t…
math.CV2023
On the convolution of convex 2-gons
Martin Chuaqui, Rodrigo Hernández, Adrián Llinares +1
We study the convolution of functions of the form \[ f_α(z) := \dfrac{\left( \frac{1 + z}{1 - z} \right)^α- 1}{2 α}, \] which map the open unit disk of the complex plane onto polyg…