Behavior of the Bergman projection on the Diederich-Fornæss worm
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Publication:1202518
DOI10.1007/BF02392975zbMath0779.32013MaRDI QIDQ1202518
Publication date: 25 February 1993
Published in: Acta Mathematica (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Pseudoconvex domains (32T99)
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Cites Work
- 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
- Irregularity of the Bergman projection on a smooth bounded domain in \({\mathbb{C}}^ 2\)
- Uniform approximation of holomorphic functions on bounded Hartogs domains in \({\mathbb{C}}^ 2\)
- Biholomorphic domains with inequivalent boundaries
- Une classe de domaines pseudoconvexes. (A class of pseudoconvex domains)
- Biholomorphic mappings and the \(\overline\partial\)-problem
- Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
- A simplification and extension of Fefferman's theorem on biholomorphic mappings
- Estimates in Sobolev norms $∥ ·∥^{s}_{p}$ for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions
- Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
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