\(L^p\) regularity of the Bergman projection on generalizations of the Hartogs triangle

DOI10.12386/B20220390MaRDI QIDQ6670789

Qian Fu, Guan Tie Deng, Hui Cao

Publication date: 24 January 2025

Published in: Acta Mathematica Sinica. Chinese Series (Search for Journal in Brave)

zbMATH Keywords

Bergman projectionBergman kernelHartogs triangle\(L^p\) regularity

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Bergman spaces of functions in several complex variables (32A36) Operators on complex function spaces (47B91)

Cites Work

• Bergman theory of certain generalized Hartogs triangles
• The Bergman kernel on some Hartogs domains
• Bergman-type projections in generalized Fock spaces
• Reproducing kernels of some weighted Bergman spaces
• Sobolev mapping of some holomorphic projections
• Bergman kernels of elementary Reinhardt domains
• Weighted Sobolev regularity of the Bergman projection on the Hartogs triangle
• Function theory of several complex variables
• \(L^p\) mapping properties of the Bergman projection on the Hartogs triangle
• The Bergman projection on fat Hartogs triangles: \(L^p\) boundedness
• The Bergman Kernel Function and Propert Holomorphic Mappings
• $L^p$ boundedness of the Bergman projection on the generalized Hartogs triangles
• Spaces of Holomorphic Functions in the Unit Ball

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