Some regularity theorems for CR mappings

2011/02/11 by G. P. Balakumar, Balakumar, G. P., Kaushal Verma +1 · 1 citation
Mathematics · #32H40 #32Q45 #32V10 #Advanced Banach Space Theory #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1102.2335

openalex publication_date 2011/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this article is to study Lipschitz CR mappings from an h-extendible (or semi-regular) hypersurface in \mbb Cⁿ. 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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• Bounds for Invariant Distances on Pseudoconvex Levi Corank One Domains and Applications

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