Affine and linear invariant families of harmonic mappings.

dc.contributor	Hernández, Rodrigo
dc.date.accessioned	2022-01-28T17:11:13Z
dc.date.accessioned	2022-11-08T20:36:30Z
dc.date.available	2022-01-28T17:11:13Z
dc.date.available	2022-11-08T20:36:30Z
dc.date.created	2022-01-28T17:11:13Z
dc.identifier	https://repositorio.uai.cl//handle/20.500.12858/3419
dc.identifier	10.1007/s00208-016-1418-x
dc.identifier.uri	https://repositorioslatinoamericanos.uchile.cl/handle/2250/5147807
dc.description.abstract	We study the order of affine and linear invariant families of planar harmonic mappings in the unit disk. By using the famous shear construction of Clunie and Sheil-Small, we construct a function to determine the order of the family of mappings with bounded Schwarzian norm. The result shows that finding the order of the class SH of univalent harmonic mappings can be formulated as a question about Schwarzian norm and, in particular, our result shows consistency between the conjectured order of SH and the Schwarzian norm of the harmonic Koebe function.
dc.title	Affine and linear invariant families of harmonic mappings.
dc.type	Artículo WoS