Exact regularity of the Bergman and the Szegö projections on domains with partially transverse symmetries

DOI10.1007/BF01357722zbMath0667.32015WikidataQ57376121 ScholiaQ57376121MaRDI QIDQ1117363

Harold P. Boas, So-Chin Chen, Emil J. Straube

Publication date: 1988

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155360

zbMATH Keywords

Sobolev spaceBergman projectionpseudoconvex domainSzegö projection\({\bar \partial }\)-Neumann operatorpreserving differentiability

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items

On Hardy spaces on worm domains ⋮ A comparison between the Bergman and Szegö kernels of the non-smooth worm domain \(D'_{\beta }\) ⋮ Complete Hartogs domains in \({\mathbb{C}}^ 2\) have regular Bergman and Szegö projections ⋮ Sharp estimates for the Szegő projection on the distinguished boundary of model worm domains ⋮ Hardy spaces and the Szegő projection of the non-smooth worm domain \(D_\beta^\prime\) ⋮ 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 ⋮ Boundary regularity of a canonical solution of the \(\bar\partial{}_ b\) problem ⋮ Rigidity and regularity in group actions ⋮ Observations regarding compactness in the<ovl>∂</ovl>-Neumann problem ⋮ Small Sets of Infinite Type are Benign for the $\overline\partial$-Neumann Problem

Cites Work

• Unnamed Item
• Unnamed Item
• Necessary conditions for subellipticity of the \({\bar\partial}\)-Neumann problem
• Irregularity of the Bergman projection on a smooth bounded domain in \({\mathbb{C}}^ 2\)
• Exact regularity of Bergman, Szegö and Sobolev space projections in non pseudoconvex domains
• Uniform approximation of holomorphic functions on bounded Hartogs domains in \({\mathbb{C}}^ 2\)
• Regularity of the Bergman projection on domains with partial transverse symmetries
• Une classe de domaines pseudoconvexes. (A class of pseudoconvex domains)
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Global real analyticity of solutions to the \({\bar \partial}\)-Neumann problem
• Regularity of the Bergman projection on domains with transverse symmetries
• Real hypersurfaces, orders of contact, and applications
• Regularity of the Bergman projection and local geometry of domains
• Action of the Automorphisms of a Smooth Domain in C n
• The Szego Projection: Sobolev Estimates in Regular Domains
• Classes de Bergman de fonctions harmoniques
• A Remark on Bounded Strictly Plurisubharmonic Exhaustion Functions
• Regularity of the $\overline\partial$-Neumann Problem
• Non‐coercive boundary value problems
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)