On the Harmonic Mobius Transformations
Hernandez
R
author
Martin
M
J
author
2022
It is well-known that two locally univalent analytic functions have equal Schwarzian derivative if and only if each one of them is a composition of the other with a non-constant Mobius transformation. The main goal in this paper is to extend this result to the cases when the functions considered are harmonic. That is, we identify completely the transformations that preserve the (harmonic) Schwarzian derivative of locally univalent harmonic functions.
Harmonic mappings
Schwarzian derivative
Mobius transformations
WOS:000728192900004
exported from refbase (show.php?record=1516), last updated on Thu, 27 Jan 2022 11:53:07 -0300
text
10.1007/s12220-021-00809-8
Hernandez+Martin2022
Journal Of Geometric Analysis
J. Geom. Anal.
2022
continuing
periodical
academic journal
32
1
18
1050-6926