Univalent harmonic mappings and linearly connected domains

M. Chuaqui, R. Hernández

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

32 Citas (Scopus)

Resumen

We investigate the relationship between the univalence of f and of h in the decomposition f = h + over(g, -) of a sense-preserving harmonic mapping defined in the unit disk D ⊂ C. Among other results, we determine the holomorphic univalent maps h for which there exists c > 0 such that every harmonic mapping of the form f = h + over(g, -) with | g | < c | h | is univalent. The notion of a linearly connected domain appears in our study in a relevant way.

Idioma originalInglés
Páginas (desde-hasta)1189-1194
Número de páginas6
PublicaciónJournal of Mathematical Analysis and Applications
Volumen332
N.º2
DOI
EstadoPublicada - 15 ago. 2007

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