Sobolev estimates for the Cauchy-Riemann complex on \(C^{1}\) pseudoconvex domains

DOI10.1007/s00209-008-0369-7zbMath1165.32020OpenAlexW2495615617MaRDI QIDQ1014233

Phillip S. Harrington

Publication date: 27 April 2009

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

Full work available at URL: https://doi.org/10.1007/s00209-008-0369-7

zbMATH Keywords

Sobolev estimatesnon-smooth domains\(\overline{\partial}\)-operatorCauchy-Riemann complex

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items

Exact sequences and estimates for the \(\overline{\partial } \)-problem ⋮ Extendability and the \(\overline{\partial}\) operator on the Hartogs triangle ⋮ Hearing pseudoconvexity in Lipschitz domains with holes via \({\bar{\partial }}\) ⋮ Estimates for \(\overline{\partial}\) on domains in \(\mathbb{C}^n\) and \(\mathbb{CP}^n\) ⋮ Global regularity for the \(\bar{\delta}\)-Neumann operator and bounded plurisubharmonic exhaustion functions ⋮ A modified Morrey-Kohn-Hörmander identity and applications to the \(\overline{\partial}\)-problem ⋮ Closed range for \(\overline{\partial}\) and \(\overline{\partial}_b\) on bounded hypersurfaces in Stein manifolds ⋮ Regularity of a \(\overline{\partial}\)-solution operator for strongly \(\mathbf{C}\)-linearly convex domains with minimal smoothness

Cites Work

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