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Good Stein neighborhood bases and regularity of the \(\overline{\partial}\)-Neumann problem

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Publication:5954300
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zbMath0997.32038MaRDI QIDQ5954300

Emil J. Straube

Publication date: 17 February 2002

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Sobolev space\(\bar\partial\)-Neumann problemStein neighborhood


Mathematics Subject Classification ID

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


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Zero varieties for the Nevanlinna class in weakly pseudoconvex domains of maximal type \(F\) in \(\mathbb {C}^2\) ⋮ Tangential Cauchy-Riemann equations on pseudoconvex boundaries of finite and infinite type in \(\mathbb {C}^2\) ⋮ A sufficient condition for global regularity of the \(\bar {\partial}\)-Neumann operator ⋮ Property \((P)\) and Stein neighborhood bases on \(C^1\) domains ⋮ The Diederich-Fornæss exponent and non-existence of Stein domains with Levi-flat boundaries




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