Subelliptic estimates and vanishing of some cohomology groups

DOI10.1007/BF02568523zbMath0615.32011OpenAlexW1969097099MaRDI QIDQ4724055

Jinhao Zhang

Publication date: 1986

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02568523

zbMATH Keywords

pseudoconvex domainPoincaré lemmaplurisubharmonic\({\bar \partial }\)-Neumann problemvanishing of cohomology groups

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

Cohomology vanishing theorem and finitely generated ideals in certain function algebras

Cites Work

• Pseudoconvex domains with real-analytic boundary
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Non‐coercive boundary value problems

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