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	Author	Chuaqui, M.; Hernandez, R.
	Title	Univalent harmonic mappings and linearly connected domains			Type
	Year	2007	Publication	Journal Of Mathematical Analysis And Applications	Abbreviated Journal	J. Math. Anal. Appl.
	Volume	332	Issue	2	Pages	1189-1194
	Keywords	harmonic mapping; univalent; linearly connected domain; second complex dilatation
	Abstract	We investigate the relationship between the univalence of f and of h in the decomposition f = h + (g) over bar of a serise-preserving harmonic mapping defined in the unit disk D subset of C. Among other results, we determine the holomorphic univalent maps It for which there exists c > 0 such that every harmonic mapping of the form f = h + (g) over bar with vertical bar g'vertical bar < c vertical bar h'vertical bar is univalent. The notion of a linearly connected domain appears in our study in a relevant way. (c) 2006 Elsevier Inc. All rights reserved.
	Address	Catholic Univ Chile, Santiago, Chile, Email: m.chuaqui@mat.puc.cl
	Corporate Author				Thesis
	Publisher	Academic Press Inc Elsevier Science	Place of Publication		Editor
	Language	English	Summary Language		Original Title
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	ISSN	0022-247x	ISBN		Medium
	Area		Expedition		Conference
	Notes	WOS:000247120600031			Approved
	Call Number	UAI @ eduardo.moreno @			Serial	42
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