Closed range for \(\overline{\partial}\) and \(\overline{\partial}_b\) on bounded hypersurfaces in Stein manifolds

DOI10.5802/aif.2972zbMath1337.32053arXiv1106.0629OpenAlexW2964155592MaRDI QIDQ5962681

Phillip S. Harrington, Andrew S. Raich

Publication date: 15 February 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0629

zbMATH Keywords

Stein manifoldclosed range\(\overline{\partial}_b\) operator\(\overline{\partial}\)-Neumann operator\(q\)-pseudoconvexity

Mathematics Subject Classification ID

Stein manifolds (32Q28) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items

The fundamental solution to \(\Box_b\) on quadric manifolds. II: \(L^p\) regularity and invariant normal forms, The L 2 $$\overline \partial $$ -Cauchy problem on weakly q-pseudoconvex domains in Stein manifolds, Closed range estimates for \(\bar{\partial}_b\) on CR manifolds of hypersurface type, Strong closed range estimates: necessary conditions and applications, Boundary invariants and the closed range property for \(\overline{\partial}\), Closed range of \(\overline{\partial}\) in \(L^{2}\)-Sobolev spaces on unbounded domains in \(\mathbb{C}^n\), A general estimate for the \(\bar \partial\)-Neumann problem, The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues, The L2 ∂¯-Cauchy problem on pseudoconvex domains and applications, The Kohn-Laplace equation on abstract CR manifolds: Global regularity, A modified Morrey-Kohn-Hörmander identity and applications to the \(\overline{\partial}\)-problem, The complex green operator with Sobolev estimates up to a finite order, Compactness of the complex Green operator on non-pseudoconvex CR manifolds, The Bergman kernel on forms: General theory, \(L^2\) estimates and existence theorems for \(\overline{\partial}_b\) on Lipschitz boundaries of \(Q\)-pseudoconvex domains, Closed range of \(\overline \partial\) on unbounded domains in \(\mathbb{C}^n\)

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