Boundary Regularity of Correspondences in $mathbb{C}^n$

Proceedings Mathematical Sciences

Rasul Shafikov²  Kaushal Verma¹ 

[1] Department of Mathematics, Indian Institute of Science, Bangalore 0 0, India$$;Department of Mathematics, Middlesex College, University of Western Ontario, London, Ontario NA B, USA$$

关键词: Correspondences;    Segre varieties.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Let 𝑀,𝑀′ be smooth, real analytic hypersurfaces of finite type in $mathbb{C}^n$ and $hat{f}$ a holomorphic correspondence (not necessarily proper) that is defined on one side of 𝑀, extends continuously up to 𝑀 and maps 𝑀 to 𝑀′. It is shown that $hat{f}$ must extend across 𝑀 as a locally proper holomorphic correspondence. This is a version for correspondences of the Diederich–Pinchuk extension result for CR maps.

【 授权许可】

Unknown