The Szegő kernel for certain non-pseudoconvex domains in \(\mathbb C^{2}\)

zbMath1278.32006arXiv1107.1687MaRDI QIDQ351812

Michael Gilliam, Jennifer Halfpap

Publication date: 10 July 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1687

zbMATH Keywords

convex functionLegendre transformquartic polynomial

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99) CR manifolds (32V99)

Cites Work

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• Estimates for the Szegö kernel on a model non-pseudoconvex domain
• The Bergman and Szegő kernels near points of infinite type
• Convex hypersurfaces and Fourier transforms
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• Mapping properties of the Bergman projection on convex domains of finite type
• Estimates on the Bergman kernels of convex domains
• The Szegö projection on convex domains
• Singularities of the Szegö kernel for certain weakly pseudoconvex domains in \(\mathbb{C}^ 2\)
• The Bergman kernel function. Differentiability at the boundary
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)

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