Regularity of the Bergman projection and local geometry of domains
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Publication:1820903
DOI10.1215/S0012-7094-86-05321-4zbMath0615.32016OpenAlexW1482812087MaRDI QIDQ1820903
Publication date: 1986
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-86-05321-4
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuation of analytic objects in several complex variables (32D15) Holomorphic mappings and correspondences (32H99)
Related Items
Biholomorphisms in dimension 2 ⋮ Regularity of CR mappings ⋮ Comparing the Bergman and the Szegö projections ⋮ Complete Hartogs domains in \({\mathbb{C}}^ 2\) have regular Bergman and Szegö projections ⋮ Exact regularity of the Bergman and the Szegö projections on domains with partially transverse symmetries ⋮ Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary ⋮ Analysis on the intersection of pseudoconvex domains ⋮ A smoothing property of the Bergman projection ⋮ Analysis and geometry on worm domains ⋮ Regularity of the $\overline\partial$-Neumann Problem ⋮ Duality of holomorphic function spaces and smoothing properties of the Bergman projection ⋮ Sobolev mapping of some holomorphic projections ⋮ Unique continuation theorems for the \(\bar \partial\)-operator and applications ⋮ De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the \(\bar \partial\)-Neumann problem ⋮ Interpolation Between Sobolev and Between Lipschitz Spaces of Analytic Functions on Starshaped Domains ⋮ The Kobayashi metric in the normal direction and the mapping problem ⋮ Bounded strictly pseudoconvex domains in \(\mathbb{C}^2\) with obstruction flat boundary II ⋮ Small Sets of Infinite Type are Benign for the $\overline\partial$-Neumann Problem ⋮ Exact regularity of Bergman, Szegö and Sobolev space projections in non pseudoconvex domains
Cites Work
- Irregularity of the Bergman projection on a smooth bounded domain in \({\mathbb{C}}^ 2\)
- Boundary invariants of pseudoconvex domains
- Variation of the Bergman kernel by cutting a hole
- Biholomorphic mappings and the \(\overline\partial\)-problem
- Analytic hypoellipticity of the (partial-d-bar)-Neumann problem and extendability of holomorphic mappings
- Regularity of the Bergman projection on domains with transverse symmetries
- Real hypersurfaces, orders of contact, and applications
- Holomorphic reproducing kernels in Reinhardt domains
- Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
- Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
- The Caratheodory metric and holomorphic maps on a class of weakly pseudoconvex domains
- Regularity of the Bergman projection in certain non-pseudoconvex domains
- Weighted norm inequalities for the Lusin area integral and the nontangential maximal functions for functions harmonic in a Lipschitz domain
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
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