Sobolev regularity for the ∂--Neumann operator and transverse vector fields

2025/06/12 by Wang, Qianyun, Yuan, Yuan, Zhang, Xu
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.10372

Abstract

On a smooth, bounded, pseudoconvex domain in ℂⁿ with n >2, inspired by the compactness conditions introduced by Yue Zhang, we present new sufficient conditions for the exact regularity of the ∂--Neumann operator.

Citations

• Hartogs Domains and the Diederich Fornæss Index

Related

• Geometric conditions which imply compactness of the ∂-Neumann operator
• The ∂-Neumann operator with the Sobolev norm of integer orders
• Aspects of the L²-Sobolev theory of the ∂-Neumann problem
• Exact regularity of ∂ on pseudoconvex domains in ℂ²
• Compactness of the ∂-Neumann operator on the intersection of two domains