Ahlfors-Weill extensions in several complex variables
Chuaqui
M
author
Hernandez
R
author
2015
English
We derive an Ahlfors-Weill type extension for a class of holomorphic mappings defined in the ball B-n, generalizing the formula for Nehari mappings in the disk. The class of mappings holomorphic in the ball is defined in terms of the Schwarzian operator. Convexity relative to the Bergman metric plays an essential role, as well as the concept of a weakly linearly convex domain. The extension outside the ball takes values in the projective dual to C-n, that is, in the set of complex hyperplanes.
WOS:000347185000006
exported from refbase (http://ficpubs.uai.cl/show.php?record=435), last updated on Sat, 11 Apr 2015 08:08:07 -0400
text
http://ficpubs.uai.cl/files/435_Chuaqui+Hernandez2015.pdf
10.1515/crelle-2012-0098
Chuaqui+Hernandez2015
Journal Fur Die Reine Und Angewandte Mathematik
J. Reine Angew. Math.
2015
Walter De Gruyter Gmbh
continuing
periodical
academic journal
698
161
179
0075-4102