Some regularity theorems for CR mappings
arXiv:1102.2335
Abstract
The purpose of this article is to study Lipschitz CR mappings from an -extendible (or semi-regular) hypersurface in $\mbb C^n$. 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.