Local Boundary Regularity of the Szego Projection and Biholomorphic Mappings of Non-Pseudoconvex Domains

DOI10.1090/S0002-9947-98-01908-4zbMath0896.32012OpenAlexW1494678347MaRDI QIDQ4382932

Peiming Ma

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-01908-4

zbMATH Keywords

Bergman projectioncondition \(R\)pseudo-local estimatesextreme boundary point

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

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• Irregularity of the Bergman projection on a smooth bounded domain in \({\mathbb{C}}^ 2\)
• Differentiability of the Bergman kernel and pseudo-local estimates
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings
• Regularity of the Bergman projection in weakly pseudoconvex domains
• Regularity of the Bergman projection on domains with transverse symmetries
• Real hypersurfaces, orders of contact, and applications
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• A simplification and extension of Fefferman's theorem on biholomorphic mappings
• Local boundary regularity of the Bergman projection in non-pseudoconvex domains
• Boundary Behavior of Proper Holomorphic Mappings Between Non-Pseudoconvex Domains
• Sobolev Space Projections In Strictly Pseudoconvex Domains
• The Szego Projection: Sobolev Estimates in Regular Domains
• Boundary regularity of proper holomorphic mappings