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Boundary Regularity of Correspondences in $mathbb{C}^n$
[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.
[发布日期]  [发布机构] 
[效力级别]  [学科分类] 数学(综合)
[关键词] Correspondences;Segre varieties. [时效性] 
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