Hypoellipticity on Cauchy-Riemann Manifolds

DOI10.2307/2154475zbMath0768.32008OpenAlexW4237617645MaRDI QIDQ4032468

Johannes Asmus Petersen

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2154475

zbMATH Keywords

CR-structurehomotopy formulahypoellipticCauchy-Riemann operatorholoconvexityholomorphic supporting manifold

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Differential complexes (58J10) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15) CR manifolds (32V99)

Cites Work

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• Nonexistence of homotopy formula for (0,1) forms on hypersurfaces in \({\mathbb{C}}^ 3\)
• Pseudo-differential operators and non-elliptic boundary problems
• A pseudo-convex domain not admitting a holomorphic support function
• Homotopy formulas in the tangential Cauchy-Riemann complex
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group

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