The kernel of the \({\bar \partial}\)-Neumann operator on strictly pseudoconvex domains

DOI10.1007/BF01458065zbMath0637.35057OpenAlexW2053060031MaRDI QIDQ1099004

R. Michael Range, Ingo Lieb

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164286

zbMATH Keywords

regularityLaplace-Beltrami operatorparametrixHermitian metricprincipal partNeumann operatorexplicit integral formula

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Complex manifolds (32Q99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

A note on the kernel of the \({\bar \partial}\)-Neumann operator on strongly pseudo-convex domains ⋮ Estimates on kernels for the \({\bar \partial}\)-equation and the \({\bar \partial}\)-Neumann problem ⋮ Levi metrics and the Romanov-Henkin kernel ⋮ Estimates for weighted Bergman projections on pseudo-convex domains of finite type in ℂⁿ

Cites Work

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• Necessary conditions for subellipticity of the \({\bar\partial}\)-Neumann problem
• Estimates for a class of integral operators and applications to the \({\bar\partial}\)-Neumann-problem
• Integral representations and estimates in the theory of the \({\bar\partial}\)-Neumann problem
• \(L^ p\) and Lipschitz estimates for the \({\bar\partial}\)-equation and the \({\bar\partial}\)-Neumann problem
• Hilbert integrals, singular integrals, and Radon transforms. I
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Harmonic integrals on strongly pseudo-convex manifolds. I