Irregularity of the Bergman projection on a smooth bounded domain in \({\mathbb{C}}^ 2\)

From MaRDI portal
Publication:1059190

DOI10.2307/2007045zbMath0566.32016OpenAlexW2026782975MaRDI QIDQ1059190

David E. Barrett

Publication date: 1984

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2007045




Related Items

Bergman kernel and hyperconvexity indexRegularity of the Bergman projection on domains with partial transverse symmetriesBiholomorphic domains with inequivalent boundariesA survey of the \(L^p\) regularity of the Bergman projectionDuality and approximation of Bergman spacesClassification of Proper Holomorphic Mappings Between Generalized Pseudoellipsoids of Different DimensionsBiholomorphisms in dimension 2Log-hyperconvexity index and Bergman kernelHardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal SmoothnessComplete Hartogs domains in \({\mathbb{C}}^ 2\) have regular Bergman and Szegö projectionsExact regularity of the Bergman and the Szegö projections on domains with partially transverse symmetries-regularity of the Bergman projection on quotient domainsMapping problems in complex analysis and the \overline∂-problem\(L^p\) regularity of the Bergman projection on domains covered by the polydiscThe commutator of the Bergman projection on strongly pseudoconvex domains with minimal smoothnessThe core of the Levi distributionWeak‐type estimates for the Bergman projection on the polydisc and the Hartogs triangleAnalysis and geometry on worm domainsSobolev mapping of some holomorphic projectionsBergman subspaces and subkernels: degenerate \(L^p\) mapping and zeroesLocal Boundary Regularity of the Szego Projection and Biholomorphic Mappings of Non-Pseudoconvex DomainsBehavior of the Bergman projection on the Diederich-Fornæss worm$L^p$ mapping properties of the Bergman projection on the Hartogs triangleRegularity of the Bergman projection on forms and plurisubharmonicity conditionsThe Kobayashi metric in the normal direction and the mapping problemRegularity of the Bergman projection and local geometry of domains𝐿^{𝑝} regularity of weighted Bergman projectionsCauchy-type integrals in several complex variablesNonabelian ramified coverings and \(L^p\)-boundedness of Bergman projections in \({\mathbb{C}}^2\)Uniform approximation of holomorphic functions on bounded Hartogs domains in \({\mathbb{C}}^ 2\)