Ahlfors-Weill extensions in several complex variables

Martin Chuaqui; Rodrigo Hernández

doi:10.1515/crelle-2012-0098

Ahlfors-Weill extensions in several complex variables

Martin Chuaqui
, Rodrigo Hernández

Faculty of Engineering and Science

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We derive an Ahlfors-Weill type extension for a class of holomorphic mappings defined in the ball script Bⁿ, 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 script Cⁿ, that is, in the set of complex hyperplanes.

Original language	English
Pages (from-to)	161-179
Number of pages	19
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	698
DOIs	https://doi.org/10.1515/crelle-2012-0098
State	Published - 1 Jan 2015

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Ahlfors-Weill extensions in several complex variables

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