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Consultas o comentarios: productividad@anid.cl
Consultas o comentarios: productividad@anid.cl
On harmonic Bloch-type mappings
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| DOI | 10.1080/17476933.2016.1265951 | ||||
| Año | 2017 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
Let f be a complex-valued harmonicmapping defined in the unit disk D. We introduce the following notion: we say that f is a Bloch-type function if its Jacobian satisfies This gives rise to a new class of functions which generalizes and contains the well-known analytic Bloch space. We give estimates for the schlicht radius, the growth and the coefficients of functions in this class. We establish an analogue of the theorem which, roughly speaking, states that for. analytic log. is Bloch if and only if. is univalent.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Efraimidis, Iason | Hombre |
UNIV AUTONOMA MADRID - España
Universidad Autónoma de Madrid - España |
| 2 | Gaona, Jorge | Hombre |
Universidad de Valparaíso - Chile
|
| 3 | HERNANDEZ-QUEZADA, RODRIGO ALEJANDRO | Hombre |
Universidad Adolfo Ibáñez - Chile
|
| 4 | Venegas, Osvaldo | Hombre |
Universidad Católica de Temuco - Chile
|
| Fuente |
|---|
| FONDECYT |
| MINECO |
| International Program of Excellence in Mathematics at Universidad Autnoma de Madrid |
| Agradecimiento |
|---|
| The first author is supported by a fellowship of the International Program of Excellence in Mathematics at Universidad Autnoma de Madrid [grant number 422Q101]; also partially supported by MINECO [grant number MTM2015-65792-P] (ERDF/FEDER). The second and third authors are partially supported by Fondecyt [grant number 1150284]. |
