Closed range of \(\overline{\partial}\) in \(L^{2}\)-Sobolev spaces on unbounded domains in \(\mathbb{C}^n\)

DOI10.1016/j.jmaa.2017.11.017zbMath1483.32018arXiv1704.07507OpenAlexW2770016682MaRDI QIDQ1684812

Phillip S. Harrington, Andrew S. Raich

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07507

zbMATH Keywords

weighted Sobolev spacesunbounded domainsclosed rangedefining functions\(\overline{\partial}\)-Neumannweak \(Z(q)\)

Mathematics Subject Classification ID

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

Related Items (7)

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 ⋮ Compactness of the complex Green operator on non-pseudoconvex CR manifolds ⋮ \(L^2\) estimates and existence theorems for \(\overline{\partial}_b\) on Lipschitz boundaries of \(Q\)-pseudoconvex domains ⋮ A geometric approach to Catlin's boundary systems

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