The \(\overline\partial\)-Neumann operator on Lipschitz pseudoconvex domains with plurisubharmonic defining functions

DOI10.1215/S0012-7094-01-10832-6zbMath1020.32030OpenAlexW2022046249MaRDI QIDQ1847845

Joachim Michel, Mei-Chi Shaw

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-01-10832-6

zbMATH Keywords

\(\overline\partial\)-Neumann operatorbounded pseudoconvex Lipschitz domain in \(\mathbb{C}^n\)canonical Kohn solution operatorplurisubharmonic Lipschitz defining function

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15) Plurisubharmonic exhaustion functions (32U10)

Related Items

Estimates for the \(\bar\partial\)-Neumann problem and nonexistence of \(C^2\) Levi-flat hypersurfaces in \(\mathbb{C} P^n\) ⋮ Weighted Bergman spaces and the $\partial -$equation ⋮ A note on L2-boundary integrals of the Bergman kernel ⋮ A parametrix for the \(\overline{\partial}\)-Neumann problem on pseudoconvex domains of finite type ⋮ Maximal hypoellipticity for the \(\overline{\partial}\)-Neumann problem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Spectral stability of the \(\overline{\partial}\)-Neumann Laplacian: domain perturbations ⋮ \(L^2\) estimates and existence theorems for \(\overline{\partial}_b\) on Lipschitz boundaries of \(Q\)-pseudoconvex domains ⋮ The $$\overline \partial $$ -Neumann operator on Lipschitz q-pseudoconvex domains

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