• Rasul Shafikov

      Articles written in Proceedings – Mathematical Sciences

    • Boundary regularity of correspondences in ℂn

      Rasul Shafikov Kaushal Verma

      More Details Abstract Fulltext PDF

      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.

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