Weighted Bergman projections on the Hartogs triangle

DOI10.1016/j.jmaa.2016.08.065zbMath1355.32005arXiv1410.6205OpenAlexW2297586112MaRDI QIDQ321806

Liwei Chen

Publication date: 14 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6205

zbMATH Keywords

Bergman projectionHartogs triangle\(L^p\) regularity

Mathematics Subject Classification ID

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

Related Items

The Bergman kernel and projection on the Fock–Bargmann–Hartogs domain ⋮ Special Toeplitz operators on elementary Reinhardt domains ⋮ Weighted Sobolev regularity of the Bergman projection on the Hartogs triangle ⋮ Holomorphic function spaces on the Hartogs triangle ⋮ Unnamed Item ⋮ \(L^p\) boundedness of Forelli-Rudin type operators on the Hartogs triangle ⋮ Special Toeplitz operators on \(n\)-dimensional generalized Hartogs triangles ⋮ Weighted estimates for the Bergman projection on the Hartogs triangle ⋮ REGULARITY OF THE WEIGHTED BERGMAN PROJECTION ON THE FOCK–BARGMANN–HARTOGS DOMAIN ⋮ L^p mapping properties for the Cauchy–Riemann equations on Lipschitz domains admitting subelliptic estimates ⋮ Weighted estimates for Forelli-Rudin type operators on the Hartogs triangle

Cites Work

• Unnamed Item
• 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 \({\mathbb{C}}^ 2\)
• Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
• Mapping properties of the Bergman projection on convex domains of finite type
• Szegö and Bergman projections on non-smooth planar domains
• Special maximal operator and \(A_p^+\) weights
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Sobolev regularity of the \(\overline\partial\)-equation on the Hartogs triangle
• $L^p$ mapping properties of the Bergman projection on the Hartogs triangle
• 𝐿^{𝑝} regularity of weighted Bergman projections
• The Bergman kernel and projection on non-smooth worm domains
• Inserting A p -Weights
• Weighted Norm Inequalities for the Hardy Maximal Function

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