Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings
Hernandez
R
author
Venegas
O
author
2019
English
Let f be a complex-valued harmonic mapping defined in the unit disc D. The theorems of Chuaqui and Osgood (J Lond Math Soc 2:289-298, 1993), which assert that the bounds of the size of the hyperbolic norm of the Schwarzian derivative for an analytic function f imply certain bounds for distortion and growth of f, are extended to the harmonic case.
Schwarzian derivative
Harmonic mappings
Distortion theorems
WOS:000469812800015
exported from refbase (show.php?record=1030), last updated on Wed, 14 Aug 2019 22:16:15 -0400
text
10.1007/s11785-018-0836-z
Hernandez+Venegas2019
Complex Analysis And Operator Theory
Complex Anal. Oper. Theory
2019
Springer Basel Ag
continuing
periodical
academic journal
13
4
1783
1793
1661-8254