A remark on the poincaré lenma in analytic complexes with nondegenerate levi form

DOI10.1080/03605308208820259zbMath0535.32005OpenAlexW2026359620MaRDI QIDQ3319043

François Treves

Publication date: 1982

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308208820259

zbMATH Keywords

exterior differential formnondegenerate Levi forminfinite dimensional cohomology spacetrivial cohomology

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Analytic sheaves and cohomology groups (32C35) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Differential complexes (58J10)

Related Items (8)

The range of the tangential Cauchy-Riemann operator over a small ball ⋮ Gevrey local solvability in locally integrable structures ⋮ A Kernel Approach to the Local Solvability of the Tangential Cauchy Riemann Equations ⋮ Local existence theorems with estimates for \(\bar \partial_ b\) on weakly pseudo-convex CR manifolds ⋮ On the range of the lewy complex ⋮ On local solvability of certain differential complexes ⋮ Top-degree global solvability in CR and locally integrable hypocomplex structures ⋮ \(L^ p\) estimates for local solutions of \({\bar \partial}_ b\) on strongly pseudo-convex CR-manifolds

Cites Work

• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• Local solvability and holmogeneous distributions on the heisenberg group
• Necessary and sufficient conditions for solvability of the Lewy equation
• Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the -neumann problem

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