Weak-type regularity of the Bergman projection on rational Hartogs triangles

DOI10.1090/proc/16215OpenAlexW4289598684MaRDI QIDQ5878577

Kenneth D. Koenig, Adam B. Christopherson

Publication date: 21 February 2023

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

Full work available at URL: https://doi.org/10.1090/proc/16215

zbMATH Keywords

Bergman projectionBergman kernelHartogs triangleweak-type estimate

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Singular integrals of functions in several complex variables (32A55)

Related Items

Weak-type regularity of the Bergman projection on \(n\)-dimensional Hartogs triangles

Cites Work

• The Bergman projection in \(L^{p}\) for domains with minimal smoothness
• Function theory in the unit ball of \({\mathbb{C}}^ n\)
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
• 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
• Szegö and Bergman projections on non-smooth planar domains
• Bergman subspaces and subkernels: degenerate \(L^p\) mapping and zeroes
• Harmonic Bergman theory on punctured domains
• The \(L^{p}\) boundedness of the Bergman projection for a class of bounded Hartogs domains
• Geometry of pseudo-convex domains of finite type with locally diagonalizable Levi form and Bergman kernel
• $L^p$ mapping properties of the Bergman projection on the Hartogs triangle
• The Bergman projection on fat Hartogs triangles: $L^p$ boundedness
• 𝐿^{𝑝} regularity of weighted Bergman projections
• Weak‐type estimates for the Bergman projection on the polydisc and the Hartogs triangle