Boundedness of weighted Bergman projection with several complex variables

DOI10.1080/17476933.2022.2084536zbMath1527.32006MaRDI QIDQ6084009

Hui Cao, Qian Fu, Guan Tie Deng

Publication date: 31 October 2023

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

zbMATH Keywords

\(L^p\)-regularityweighted Bergman projection on the unit ball and on \(\mathbb C^n\)

Mathematics Subject Classification ID

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

Cites Work

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• Integral representations for some classes of functions holomorphic in a Siegel domain
• Mapping properties of the Bergman projection on convex domains of finite type
• Estimates on the Bergman kernels of convex domains
• Szegö and Bergman projections on non-smooth planar domains
• Boundedness of the Bergman projection on \(L^p\)-spaces with exponential weights
• Reproducing kernels of some weighted Bergman spaces
• Mapping properties of weighted Bergman projection operators on Reinhardt domains
• 𝐿^{𝑝} regularity of weighted Bergman projections
• UNBOUNDEDNESS OF THE BERGMAN PROJECTIONS ON $L^{p}$ SPACES WITH EXPONENTIAL WEIGHTS

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