Harmonic Univalent Mappings and Linearly Connected Domains

Simple item page
dc.creatorChuaqui, M.
dc.creatorHernandez, R.
dc.date2006-07-03
dc.date.accessioned2026-07-07T07:17:58Z
dc.date.available2026-07-07T07:17:58Z
dc.descriptionWe investigate the relationship between the univalence of $f$ and of $h$ in the decomposition $f=h+\bar{g}$ of a sense-preserving harmonic mapping defined in the unit disk $\mathbb{D}\subset\mathbb{C}$. Among other results, we determine the holomorphic univalent maps $h$ for which there exists $c>0$ such that every harmonic mapping of the form $f=h+\bar{g}$ with $|g'|< c|h'|$ is univalent. The notion of a linearly connected domain appears in our study in a relevant way.
dc.identifierhttps://arxiv.org/abs/math/0607068
dc.identifierhttp://arxiv.org/abs/math/0607068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114134
dc.subjectComplex Variables
dc.subject30C99; 31A05
dc.titleHarmonic Univalent Mappings and Linearly Connected Domains
dc.typetext

Files

Collections

arXiv