Articulo
ON CONVEX COMBINATIONS OF CONVEX HARMONIC MAPPINGS
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
Registro en:
1150284
1150284
Autor
Ferrada-Salas, Álvaro
Hernández-Reyes, Rodrigo Antonio
Martín, María J
Institución
Resumen
The family F-lambda of orientation-preserving harmonic functions f = h + (g) over bar in the unit disc D (normalised in the standard way) satisfying h' (z) + g' (z) = 1/(1 + lambda z)(1 + (lambda) over barz), z is an element of D, for some lambda is an element of partial derivative D, along with their rotations, play an important role among those functions that are harmonic and orientation-preserving and map the unit disc onto a convex domain. The main theorem in this paper generalises results in recent literature by showing that convex combinations of functions in F-lambda are convex. Regular 2015 FONDECYT FONDECYT