Cohomology vanishing theorem and finitely generated ideals in certain function algebras

DOI10.1007/BF02560306zbMath0679.32015OpenAlexW2088144405MaRDI QIDQ4728611

Jinhao Zhang

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf02560306

zbMATH Keywords

holomorphic functionsfinitely generated\({\bar \partial }\)-Neumann problemideal in function algebras

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Algebras of holomorphic functions of several complex variables (32A38) Vanishing theorems (32L20)

Cites Work

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• Finitely generated ideals in \(A(\Omega)\)
• Finitely generated ideals in \(A^\infty(D)\)
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Finitely generated ideals in certain function algebras
• The Cauchy-Riemann differential equations on strongly pseudo-convex domains. Continuous boundary values.
• Generators of the maximal ideals of \(A(\bar{D})\)
• Subelliptic estimates and vanishing of some cohomology groups
• Sur le problème de la division

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