Boundary regularity of correspondences in ℂn
- Cite this article as:
- Shafikov, R. & Verma, K. Proc. Indian Acad. Sci. (Math. Sci.) (2006) 116: 59. doi:10.1007/BF02829739
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LetM, M′ be smooth, real analytic hypersurfaces of finite type in ℂn and\(\hat f\) a holomorphic correspondence (not necessarily proper) that is defined on one side ofM, extends continuously up toM and mapsM to M′. It is shown that\(\hat f\) must extend acrossM as a locally proper holomorphic correspondence. This is a version for correspondences of the Diederich-Pinchuk extension result for CR maps.