On harmonic Bloch-type mappings
On harmonic Bloch-type mappings
Authors
Efraimidis, I.
Gaona, J.
Hernandez, R.
Venegas Torres, Óscar
Gaona, J.
Hernandez, R.
Venegas Torres, Óscar
Authors
Date
Datos de publicación:
10.1080/17476933.2016.1265951
Keywords
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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.