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arxiv: 1102.2335 · v2 · pith:M5T7XHSDnew · submitted 2011-02-11 · 🧮 math.CV

Some regularity theorems for CR mappings

classification 🧮 math.CV
keywords mappingshypersurfacearticleassumptionsdomainsextendibleholomorphiclipschitz
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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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