Hearing pseudoconvexity in Lipschitz domains with holes via \({\bar{\partial }}\)

DOI10.1007/s00209-017-1863-6zbMath1390.32007arXiv1609.07454OpenAlexW2525016647MaRDI QIDQ1686799

Siqi Fu, Christine Laurent-Thiébaut, Mei-Chi Shaw

Publication date: 15 December 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07454

zbMATH Keywords

pseudoconvexityDolbeault cohomologySerre duality\(\overline{\partial }\)-Neumann Laplacian\(L^2\)-Dolbeault cohomology

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Duality theorems for analytic spaces (32C37)

Related Items

Exact sequences and estimates for the \(\overline{\partial } \)-problem ⋮ Strong closed range estimates: necessary conditions and applications ⋮ Extendability and the \(\overline{\partial}\) operator on the Hartogs triangle ⋮ Holomorphic approximation via Dolbeault cohomology ⋮ Estimates for \(\overline{\partial}\) on domains in \(\mathbb{C}^n\) and \(\mathbb{CP}^n\) ⋮ Spectral stability of the \(\overline{\partial}\)-Neumann Laplacian: domain perturbations

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