18 citations · 50 across the 23 of their papers we have counts for
23 papers · 1 filter
A structure theorem for neighborhoods of compact complex manifolds
Xianghong Gong, Laurent Stolovitch
We construct an injective map from the set of holomorphic equivalence classes of neighborhoods of a compact complex manifold into for some when $…
On regularity of -solutions on domains with boundary in complex manifolds
Xianghong Gong
We study regularity of solutions to on a relatively compact domain in a complex manifold of dimension , where is a form. Assume…
Equivalence of Neighborhoods of Embedded Compact Complex Manifolds and Higher Codimension Foliations
Xianghong Gong, Laurent Stolovitch
We consider an embedded -dimensional compact complex manifold in dimensional complex manifolds. We are interested in the holomorphic classification of neighborhoods as par…
Global Newlander-Nirenberg theorem for domains with boundary
Chun Gan, Xianghong Gong
The Newlander-Nirenberg theorem says that a formally integrable complex structure is locally equivalent to the standard complex structure in the complex Euclidean space. In this pa…
Regularity of a -solution operator for strongly -linearly convex domains with minimal smoothness
Xianghong Gong, Loredana Lanzani
We prove regularity of solutions of the -problem in the Hölder-Zygmund spaces of bounded, strongly -linearly convex domains of class . The proofs…
Smooth equivalence of deformations of domains in complex euclidean spaces
Hervé Gaussier, Xianghong Gong
We prove that two smooth families of 2-connected domains in $\cc$ are smoothly equivalent if they are equivalent under a possibly discontinuous family of biholomorphisms. We constr…