\(L^2\) estimates and existence theorems for \(\bar\partial_b\) on Lipschitz boundaries

DOI10.1007/S00209-002-0476-9zbMath1039.32049OpenAlexW6716391MaRDI QIDQ1395404

Mei-Chi Shaw

Publication date: 1 July 2003

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

Full work available at URL: https://doi.org/10.1007/s00209-002-0476-9

zbMATH Keywords

Lipschitz domain\(\overline \partial_b\) operator

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items (7)

Estimates for the \(\bar\partial\)-Neumann problem and nonexistence of \(C^2\) Levi-flat hypersurfaces in \(\mathbb{C} P^n\) ⋮ Compact and subelliptic estimates for the \(\overline\partial\)-Neumann operator on \(C^2\) pseudoconvex domains ⋮ Hearing pseudoconvexity with the Kohn Laplacian ⋮ Closed range for \(\overline{\partial}\) and \(\overline{\partial}_b\) on bounded hypersurfaces in Stein manifolds ⋮ Sobolev estimates for the Cauchy-Riemann complex on \(C^{1}\) pseudoconvex domains ⋮ $L^{2}$ Serre duality on domains in complex manifolds and applications ⋮ \(L^2\) estimates and existence theorems for \(\overline{\partial}_b\) on Lipschitz boundaries of \(Q\)-pseudoconvex domains

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