Some regularity theorems for CR mappings

Details Some regularity theorems for CR mappings Some regularity theorems for CR mappings

2011-02-11

arxiv.org/abs/1102.2335v2

Mathematics

Complex Variables

Scientific paper

The purpose of this article is to study Lipschitz CR mappings from an
$h$-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.

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