Closed range of \(\overline \partial\) on unbounded domains in \(\mathbb{C}^n\)

DOI10.1007/s11854-019-0025-7zbMath1428.32011arXiv1507.06211OpenAlexW2953847841MaRDI QIDQ2330781

Phillip S. Harrington, Andrew S. Raich

Publication date: 23 October 2019

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06211

zbMATH Keywords

closed range\(\overline\partial\)-operator

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items (4)

The ∂̄-Neumann problem and boundary integral equations ⋮ Closed range estimates for \(\bar{\partial}_b\) on CR manifolds of hypersurface type ⋮ Boundary invariants and the closed range property for \(\overline{\partial}\) ⋮ A general estimate for the \(\bar \partial\)-Neumann problem

Cites Work

• \({\bar \partial}\)-problem on weakly \(q\)-convex domains
• Non-subelliptic estimates for the tangential Cauchy-Riemann system
• Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
• Defining functions for unbounded \(C^m\) domains
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Regularity Results for [image omitted on CR-Manifolds of Hypersurface Type]
• Curvature Measures
• Théorèmes de finitude pour la cohomologie des espaces complexes
• Compactness estimates for the $\overline \partial $ - Neumann problem in weighted $L^2$ - spaces
• A remark on boundary estimates on unbounded Z(q) domains in
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• On closed range for ∂̄
• Closed range for \(\overline{\partial}\) and \(\overline{\partial}_b\) on bounded hypersurfaces in Stein manifolds
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