SUR L'ÉQUATION DE CAUCHY–RIEMANN TANGENTIELLE DANS UNE CALOTTE STRICTEMENT PSEUDOCONVEXE

DOI10.1142/S0129167X05003223zbMath1088.32002OpenAlexW2066447814MaRDI QIDQ5708286

Christine Laurent-Thiébaut

Publication date: 28 November 2005

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

Full work available at URL: https://doi.org/10.1142/s0129167x05003223

zbMATH Keywords

Leviflat set

Mathematics Subject Classification ID

Stein spaces (32E10) Envelopes of holomorphy (32D10) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items (8)

Holomorphic approximation via Dolbeault cohomology ⋮ SOLUTION TO $\overline\partial$ AND $\overline\partial_{b}$ PROBLEM FOR SMOOTH FORMS AND CURRENTS ON STRICTLY q-CONVEX DOMAINS ⋮ Solvability of the tangential Cauchy-Riemann equations on boundaries of strictly \(q\)-convex domains ⋮ Stein compacts in Levi-flat hypersurfaces ⋮ Evaluation of change in CD4+ cell counts in AIDS clinical trials ⋮ The $\bar \partial $-problem on q-pseudoconvex domains with applications ⋮ On the Cauchy problem for the \(\overline \partial\) operator ⋮ \(L^2\) estimates and existence theorems for \(\overline{\partial}_b\) on Lipschitz boundaries of \(Q\)-pseudoconvex domains

Cites Work

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• Stein neighborhoods
• Holomorphically convex sets in several complex variables
• An extension theorem for the CR-functions
• Analytic set-valued functions and spectra
• Local existence theorems with estimates for \(\bar \partial_ b\) on weakly pseudo-convex CR manifolds
• Characterization of removable sets in strongly pseudoconvex boundaries
• On Serre duality
• On sheaf cohomology and envelopes of holomorphy

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