Around \(L^1\)(un)boundedness of Bergman and Szegö projections

DOI10.1016/j.jfa.2022.109550zbMath1495.32009arXiv2104.04009OpenAlexW3157455789MaRDI QIDQ2672209

Gian Maria Dall'Ara

Publication date: 8 June 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.04009

zbMATH Keywords

CR manifoldsBergman projectionsSzegő projections

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Analysis on CR manifolds (32V20)

Related Items

Nonabelian ramified coverings and \(L^p\)-boundedness of Bergman projections in \({\mathbb{C}}^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Bergman projection in \(L^{p}\) for domains with minimal smoothness
• The Cauchy-Szegő projection for domains in \(\mathbb{C}^n\) with minimal smoothness
• On the nonexistence of CR functions on Levi-flat CR manifolds
• A microlocal F. and M. Riesz theorem with applications
• A survey of the \(L^p\) regularity of the Bergman projection
• Estimates for the Bergman and Szegő projections for pseudoconvex domains of finite type with locally diagonalizable Levi form
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• Behavior of the Bergman projection on the Diederich-Fornæss worm
• Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
• The Bergman projection as a singular integral operator
• Mapping properties of the Bergman projection on convex domains of finite type
• The Szegö projection on convex domains
• Traces and the F. and M. Riesz theorem for vector fields.
• Bergman subspaces and subkernels: degenerate \(L^p\) mapping and zeroes
• Irregularity of the Bergman projection on worm domains in \(\mathbb C^{n}\)
• Differential geometry and analysis on CR manifolds
• An F. and M. Riesz theorem for a system of vector fields
• Boundary values of analytic functions in several variables and of almost periodic functions
• On the peak points
• A Remark on the Global Embedding Problem for Three-Dimensional CR Manifolds
• Spectres des mesures et mesures absolument continues
• An F. and M. Riesz theorem for planar vector fields