Sobolev estimates for the Cauchy-Riemann complex on \(C^{1}\) pseudoconvex domains
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Publication:1014233
DOI10.1007/s00209-008-0369-7zbMath1165.32020OpenAlexW2495615617MaRDI QIDQ1014233
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
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Cites Work
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- Compact and subelliptic estimates for the \(\overline\partial\)-Neumann operator on \(C^2\) pseudoconvex domains
- Equivalence of regularity for the Bergman projection and the \({\bar \partial}\)-Neumann operator
- Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
- The order of plurisubharmonicity on pseudoconvex domains with Lipschitz boundaries
- Behavior of the Bergman projection on the Diederich-Fornæss worm
- Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
- \(L^2\) estimates and existence theorems for \(\bar\partial_b\) on Lipschitz boundaries
- A Sobolev mapping property of the Bergman kernel
- The inhomogeneous Dirichlet problem in Lipschitz domains
- Regularity of the Bergman projection on forms and plurisubharmonicity conditions
- Stetige streng pseudokonvexe Funktionen
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Classes de Bergman de fonctions harmoniques
- Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
