Boundary Forelli theorem for the sphere in $\mathbb C^n$ and $n+1$ bundles of complex lines

Details Boundary Forelli theorem for the sphere in $\mathbb C^n$ and $n+1$ bundles of complex lines Boundary Forelli theorem for the sphere in $\mathbb C^n$ and $n+1$ bundles of complex lines

2010-03-31

arxiv.org/abs/1003.6125v1

Mathematics

Complex Variables

Scientific paper

Let $B^n$ be the unit ball in $\mathbb C^n$ and let the points $a_1,...,a_{n+1} \in B^n $ are affinely independent. If $f \in C(\partial B^n)$ and for any complex line $L$, containing at least one of the points $a_j$, the restriction $f|_{L \cap \partial B^n}$ extends holomorphically in the disc $L \cap B^n$, then $f$ is the boundary value of a holomorphic function in $B^n$. The condition for the points $a_j$ is sharp. The result confirms a conjecture from the preprint arXiv:0910.3592 by the author.

Affiliated with

Also associated with

No associations

Rating

Boundary Forelli theorem for the sphere in $\mathbb C^n$ and $n+1$ bundles of complex lines 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 Forelli theorem for the sphere in $\mathbb C^n$ and $n+1$ bundles of complex lines, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary Forelli theorem for the sphere in $\mathbb C^n$ and $n+1$ bundles of complex lines will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-581205