English

Some regularity theorems for CR mappings

Complex Variables 2011-02-15 v2

Abstract

The purpose of this article is to study Lipschitz CR mappings from an hh-extendible (or semi-regular) hypersurface in \mbbCn\mbb C^n. Under various assumptions on the target hypersurface, it is shown that such mappings must be smooth. A rigidity result for proper holomorphic mappings from strongly pseudoconvex domains is also proved.

Keywords

Cite

@article{arxiv.1102.2335,
  title  = {Some regularity theorems for CR mappings},
  author = {G. P. Balakumar and Kaushal Verma},
  journal= {arXiv preprint arXiv:1102.2335},
  year   = {2011}
}
R2 v1 2026-06-21T17:24:55.307Z