arXiv Analytics

Sign in

arXiv:1411.0603 [math.CV]AbstractReferencesReviewsResources

A boundary Schwarz lemma for holomorphic mappings from the polydisc to the unit ball

Yang Liu, Zhihua Chen, Yifei Pan

Published 2014-11-03Version 1

In this paper, we prove a general Schwarz lemma at the boundary for holomorphic mappings from the polydisc to the unit ball in any dimensions. For the special case of one complex variable, the obtained results give the classic boundary Schwarz lemma.

Comments: 12 pages
Categories: math.CV
Subjects: 32H02, 30C80
Related articles: Most relevant | Search more
arXiv:1307.8321 [math.CV] (Published 2013-07-31)
A Schwarz-Pick lemma for the modulus of holomorphic mappings from the polydisk into the unit ball
arXiv:1411.0600 [math.CV] (Published 2014-11-03)
A boundary Schwarz Lemma for holomorphic mappings between unit balls of different dimensions
arXiv:1106.4447 [math.CV] (Published 2011-06-22)
Transversality of holomorphic mappings between real hypersurfaces in complex spaces of different dimensions

Links

Toolbox