Comparing the Bergman and the Szegö projections

DOI10.1007/BF02570869zbMath0718.32007OpenAlexW2026190661MaRDI QIDQ2639198

Aline Bonami, Philippe Charpentier

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/183766

zbMATH Keywords

estimatesBergman projectionSzegö projection

Mathematics Subject Classification ID

Boundary behavior of holomorphic functions of several complex variables (32A40)

Related Items

Comparison of the Bergman and Szegö kernels ⋮ Comparing the Bergman and Szegö projections on domains with subelliptic boundary Laplacian ⋮ A parametrix for the \(\overline{\partial}\)-Neumann problem on pseudoconvex domains of finite type ⋮ On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators

Cites Work

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• Comparaison des projecteurs de Bergman et Szegö et applications. (Comparison of the Bergman and Szegö projectors, and applications)
• Some new function spaces and their applications to harmonic analysis.
• Exact regularity of Bergman, Szegö and Sobolev space projections in non pseudoconvex domains
• Hölder estimates on domains of complex dimension two and on three- dimensional CR manifolds
• 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
• Estimates for the Bergman and Szegö kernels in certain weakly pseudoconvex domains
• Mesures de Carleson d'ordre $\alpha$ et solutions au bord de l'équation $\overline\partial$
• The Bergman projection on harmonic functions
• Boundary values of holomorphic functions

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