A note on the kernel of the \({\bar \partial}\)-Neumann operator on strongly pseudo-convex domains

DOI10.1007/BF01357720zbMath0669.35082OpenAlexW2013375679MaRDI QIDQ1118761

Der-Chen E. Chang

Publication date: 1988

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155358

zbMATH Keywords

Lie bracketLevi metric\({\bar \partial }\)-Neumann operatorHeisenberg coordinate systemnormalized Leir metricstrongly pseudo convex domain

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Cites Work

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• 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
• The kernel of the \({\bar \partial}\)-Neumann operator on strictly pseudoconvex domains
• Hilbert integrals, singular integrals, and Radon transforms. II
• Hypoelliptic differential operators and nilpotent groups
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• On the extension of holomorphic functions from the boundary of a complex manifold
• Strictly pseudoconvex domains in 𝐶ⁿ
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• On integral representations for the Neumann operator
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

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