SOLUTION TO $\overline{\partial}$ PROBLEM WITH EXACT SUPPORT AND REGULARITY FOR THE $\overline{\partial}$-NEUMANN OPERATOR ON WEAKLY q-CONVEX DOMAINS
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Publication:5306181
DOI10.1142/S0219887810003963zbMath1204.32027OpenAlexW1640750678MaRDI QIDQ5306181
Publication date: 8 April 2010
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219887810003963
(q)-convexity, (q)-concavity (32F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Complex Monge-Ampère operators (32W20)
Related Items (5)
On the Applications of Bochner-Kodaira-Morrey-Kohn Identity ⋮ The L 2 $$\overline \partial $$ -Cauchy problem on weakly q-pseudoconvex domains in Stein manifolds ⋮ The L2 ∂¯-Cauchy problem on pseudoconvex domains and applications ⋮ Sobolev regularity of the Bergman projection on certain pseudoconvex domains ⋮ Unnamed Item
Cites Work
- \({\bar \partial}\)-problem on weakly \(q\)-convex domains
- Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
- Local existence theorems with estimates for \(\bar \partial_ b\) on weakly pseudo-convex CR manifolds
- A Sobolev mapping property of the Bergman kernel
- Estimates for the \(\bar\partial\)-Neumann problem and nonexistence of \(C^2\) Levi-flat hypersurfaces in \(\mathbb{C} P^n\)
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Harmonic integrals on strongly pseudo-convex manifolds. I
- On the extension of holomorphic functions from the boundary of a complex manifold
- SOLUTION TO $\overline{\partial}$-EQUATIONS WITH EXACT SUPPORT ON PSEUDO-CONVEX MANIFOLDS
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