A note on the closed range of ∂_b on q-convex manifolds

2020/04/18 by Baracco, Luca, Tumanov, Alexander
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2004.08505

Abstract

We prove that the tangential Cauchy-Riemann operator has closed range on Levi-pseudoconvex CR manifolds that are embedded in a q-convex complex manifold X. Our result generalizes the known case when X is a Stein manifold.

Related

• Boundary invariants and the closed range property for ∂
• Closed range estimates for ∂_b on CR manifolds of hypersurface type
• Closed Range for ∂ and ∂_b on Bounded Hypersurfaces in Stein Manifolds
• Sharp Lipschitz estimates for operator ∂_M on a q-pseudoconcave CR manifold
• Complex Manifolds In Q-Convex Boundaries