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

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

2006-07-24

arxiv.org/abs/math/0607594v1

Mathematics

Complex Variables

12 pages

Scientific paper

Let $M, M'$ 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.

Affiliated with

Also associated with

No associations

Rating

Boundary regularity of correspondences in $\pmb{{\mbf C}^n}$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Boundary regularity of correspondences in $\pmb{{\mbf C}^n}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary regularity of correspondences in $\pmb{{\mbf C}^n}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-585738