Regularity of the Bergman projection on domains with partial transverse symmetries

DOI10.1007/BF01457283zbMath0603.35067MaRDI QIDQ1082544

So-Chin Chen

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164240

zbMATH Keywords

Bergman projectionglobal regularitybounded pseudoconvex domainlocal transverse symmetriesSibony's example

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

Microlocal analyticity for \(\square_ b\) in block-decoupled pseudoconvex domains ⋮ Global regularity of the \(\overline{\partial}\)-Neumann problem on circular domains ⋮ Exact regularity of the Bergman and the Szegö projections on domains with partially transverse symmetries ⋮ Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\) ⋮ Proper holomorphic mappings between invariant domains in $\mathbb {C}^n$ ⋮ Small Sets of Infinite Type are Benign for the $\overline\partial$-Neumann Problem

Cites Work

• Necessary conditions for subellipticity of the \({\bar\partial}\)-Neumann problem
• Irregularity of the Bergman projection on a smooth bounded domain in \({\mathbb{C}}^ 2\)
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Biholomorphic mappings and the \(\overline\partial\)-problem
• Regularity of the Bergman projection on domains with transverse symmetries
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)