On harmonic Bloch-type mappings
Efraimidis
I
author
Gaona
J
author
Hernandez
R
author
Venegas
O
author
2017
English
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.
Bloch functions
harmonic functions
Jacobian
univalent functions
schlicht radius
growth estimates
coefficient estimates
30C25
30C50
30D45
30H30
WOS:000399938900004
exported from refbase (show.php?record=729), last updated on Sun, 25 Mar 2018 13:44:33 -0300
text
files/729_Efraimidis_etal2017.pdf
10.1080/17476933.2016.1265951
Efraimidis_etal2017
Complex Variables And Elliptic Equations
Complex Var. Elliptic Equ.
2017
Taylor & Francis Ltd
continuing
periodical
academic journal
62
8
1081
1092
1747-6933