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Univalent Σ-harmonic mappings: connections with quasiconformal mappings

✍ Scribed by Giovanni Alessandrini; Vincenzo Nesi


Publisher
Springer-Verlag
Year
2003
Tongue
English
Weight
750 KB
Volume
90
Category
Article
ISSN
0021-7670

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A class of harmonic univalent mappings is constructed by applying the method of Clunie and Sheil-Small. These mappings, assuming their values in a half-plane with a vertical boundary, omit two vertical half-lines symmetric w.r.t. the real axis. Several basic properties are proved.