On distortion under hyperbolically convex maps

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Publicado: 2025-08-08
DOI: https://doi.org/10.71712/
Palabras clave:
hyperbolically convex function, distortion theorem, modulus of families of curves, reduced modulus.

Contenido principal del artículo

Alexander Vasil'ev
Departamento de Matemática Universidad Técnica Federico Santa María, Valparaíso, Chile

Resumen

We study the class of hyperbolically convex bounded univalent functions with a boundary normalization in the unit disk U. In the paper we obtain the lower estimate for the distortion in this class. A two-point distortion theorem is also proved. The method of proofs is based on the reduced modulus of digons and the modulus of annuli.

Detalles del artículo

Número

Vol. 10 (2004)

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Articles
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Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.

Cómo citar

On distortion under hyperbolically convex maps (A. Vasil'ev, Trad.). (2025). Scientia, 10, 37-45. https://doi.org/10.71712/