@article{257dde45475041d599a75db978591622,
title = "Pluriharmonic mappings and linearly connected domains in ℂ n",
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 Hern{\'a}ndez 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 Hern{\'a}ndez and Mart{\'i}n 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.",
author = "Martin Chuaqui and Hidetaka Hamada and Rodrigo Hern{\'a}ndez and Gabriela Kohr",
note = "Funding Information: ∗M. Chuaqui and R. Hern{\'a}ndez were partially supported by Fondecyt Grants #1110321 and #1110160 (Chile). ∗∗ H. Hamada was partially supported by JSPS KAKENHI Grant Number 22540213. † G. Kohr was supported by a grant of the Romanian National Authority for Sci-entific Research, CNCS-UEFISCDI, project number PN-II-ID-PCE-2011-3-0899. Received December 24, 2012 and in revised form April 2, 2013 Publisher Copyright: {\textcopyright} 2014, Hebrew University of Jerusalem.",
year = "2014",
month = jun,
day = "18",
doi = "10.1007/s11856-014-0027-1",
language = "English",
volume = "200",
pages = "489--506",
journal = "Israel Journal of Mathematics",
issn = "0021-2172",
publisher = "Springer New York",
number = "1",
}