S. Webster

collaborators

3 papers

math.CV2009

Regularity in the local CR embedding problem

Xianghong Gong, S. M. Webster

We consider a formally integrable, strictly pseudoconvex CR manifold $M$ of hypersurface type, of dimension $2 n - 1 \geq 7$ . Local CR, i.e. holomorphic, embeddings of $M$ are known to…

math.CV2009

Regularity for the CR vector bundle problem II

Xianghong Gong, S. M. Webster

We derive a $\mathcal C^{k+\yt}$ Hölder estimate for $P ϕ$ , where $P$ is either of the two solution operators in Henkin's local homotopy formula for $\partial ˉ_{b}$ on a strongly p…

math.CV2009

Regularity for The CR Vector Bundle Problem I

Xianghong Gong, S. M. Webster

We give a new solution to the local integrability problem for CR vector bundles over strictly pseudoconvex real hypersurfaces of dimension seven or greater. It is based on a KAM ra…