Real analytic regularity of the Bergman and Szegö projections on decoupled domains

DOI10.1007/BF03025734zbMath0790.32019OpenAlexW2083077875MaRDI QIDQ1321002

So-Chin Chen

Publication date: 20 June 1994

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

Full work available at URL: https://eudml.org/doc/174542

zbMATH Keywords

Bergman projectionNeumann problempseudoconvex domainsanalytic regularitySzegö projectionreal analytic up to the boundary

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Cites Work

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• Real analytic regularity of the Szegö projection on circular domains
• Global analytic hypoellipticity of the \({\bar \partial}\)-Neumann problem on circular domains
• Régularité pour \(\overline\partial\) dans quelques domaines faiblement pseudo-convexes
• The local real analyticity of solutions to d'Alembert-Operator(b) and the (partial d)--Neumann problem
• Real hypersurfaces, orders of contact, and applications
• A remark on the uniform extendability of the Bergman kernel function
• Counterexamples to analytic hypoellipticity for domains of finite type
• Global analytic-hypoellipticity of the \(\overline\partial\)-Neumann problem
• The Szego Projection: Sobolev Estimates in Regular Domains
• On the global real analyticity of solutions to the neumann problems
• Local analytic hypoellipticity for □ _b on nondegenerate Cauchy—Riemann manifolds
• Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the -neumann problem
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

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