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math.CV2014
Criteria for univalence and quasiconformal extension of harmonic mappings in terms of the Schwarzian DERIVATIVE
Rodrigo Hernández, María J. Martín
We prove that if the Schwarzian norm of a given complex-valued locally univalent harmonic mapping in the unit disk is small enough, then is, indeed, globally univalent and…
math.CV2014★ 2 cited
Affine and linear invariant families of harmonic mappings
Martin Chuaqui, Rodrigo Hernández, María José Martín
We study the order of affine and linear invariant families of planar harmonic mappings in the unit disk and determine the order of the family of mappings with bounded Schwarzian no…