Boundary regularity of correspondences in $\pmb{{\mbf C}^n}$

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dc.creatorShafikov, Rasul
dc.creatorVerma, Kaushal
dc.date2006-07-24
dc.date.accessioned2026-07-07T07:20:51Z
dc.date.available2026-07-07T07:20:51Z
dc.descriptionLet $M, M'$ be smooth, real analytic hypersurfaces of finite type in ${\mbf C^n}$ and $\h f$ 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 $\h f$ 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0607594
dc.identifierhttp://arxiv.org/abs/math/0607594
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115098
dc.subjectComplex Variables
dc.subject32H40
dc.titleBoundary regularity of correspondences in $\pmb{{\mbf C}^n}$
dc.typetext

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