Commutation properties and Lipschitz estimates for the Bergman and Szegö projections

DOI10.1007/PL00004561zbMath0866.32012OpenAlexW4230678176MaRDI QIDQ5961427

Aline Bonami, Der-Chen E. Chang, Sandrine Grellier

Publication date: 4 August 1997

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

Full work available at URL: https://eudml.org/doc/174920

zbMATH Keywords

commutationLipschitz estimatesBergman projectionspseudo-convex domainsSzegö projections

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)

Related Items

On estimates for weighted Bergman projections ⋮ Sobolev and Lipschitz estimates for weighted Bergman projections ⋮ Estimates for weighted Bergman projections on pseudo-convex domains of finite type in ℂⁿ ⋮ A parametrix for the \(\overline{\partial}\)-Neumann problem on pseudoconvex domains of finite type ⋮ A note on weighted Bergman spaces and the Cesaro Operator

Cites Work

• Hölder estimates on domains of complex dimension two and on three- dimensional CR manifolds
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
• Boundary values and estimates for holomorphic functions of several complex variables
• Mapping properties of the Bergman projection on convex domains of finite type
• Estimates for the \(\bar \partial\)-Neumann problem in pseudoconvex domains of finite type in \(\mathbb{C}^ 2\)
• Holomorphic Lipschitz Functions in Pseudoconvex Domains
• Singular integrals and estimates for the Cauchy-Riemann equations
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