Pluriharmonic mappings and linearly connected domains in ℂ n

Martin Chuaqui, Hidetaka Hamada, Rodrigo Hernández, Gabriela Kohr

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In this paper we obtain certain sufficient conditions for the univalence of pluriharmonic mappings defined in the unit ball Bn of ℂn. The results are generalizations of conditions of Chuaqui and Hernández that relate the univalence of planar harmonic mappings with linearly connected domains, and show how such domains can play a role in questions regarding injectivity in higher dimensions. In addition, we extend recent work of Hernández and Martín on a shear type construction for planar harmonic mappings, by adapting the concept of stable univalence to pluriharmonic mappings of the unit ball Bn into ℂn.

Original languageEnglish
Pages (from-to)489-506
Number of pages18
JournalIsrael Journal of Mathematics
Volume200
Issue number1
DOIs
StatePublished - 18 Jun 2014

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