Boundary Regularity of Correspondences in $mathbb{C}^n$
[摘要] Let ð‘€,ð‘€â€² 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 ð‘€, extends continuously up to ð‘€ and maps ð‘€ to ð‘€â€². It is shown that $hat{f}$ must extend across ð‘€ 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]